20426916902400
20,426,916,902,400 is an even composite number composed of seven prime numbers multiplied together.
20426916902400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 20426916902400:
29 × 32 × 52 × 17 × 19 × 372 × 401
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 19 × 37 × 37 × 401)See below for interesting mathematical facts about the number 20426916902400 from the Numbermatics database.
Names of 20426916902400
- Cardinal: 20426916902400 can be written as Twenty trillion, four hundred twenty-six billion, nine hundred sixteen million, nine hundred two thousand, four hundred.
Scientific notation
- Scientific notation: 2.04269169024 × 1013
Factors of 20426916902400
Divisors of 20426916902400
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 25 30 32 34 36 37 38 40 45 48 50 51 57 60 64 68 72 74 75 76 80 85 90 95 96 100 102 111 114 120 128 136 144 148 150 152 153 160 170 171 180 185 190 192 200 204 222 225 228 240 255 256 272 285 288 296 300 304 306 320 323 333 340 342 360 370 380 384 400 401 408 425 444 450 456 475 480 510 512 544 555 570 576 592 600 608 612 629 640 646 666 680 684 703 720 740 760 765 768 800 802 816 850 855 888 900 912 925 950 960 969 1020 1088 1110 1140 1152 1184 1200 1203 1216 1224 1258 1275 1280 1292 1332 1360 1368 1369 1406 1425 1440 1480 1520 1530 1536 1600 1604 1615 1632 1665 1700 1710 1776 1800 1824 1850 1887 1900 1920 1938 2005 2040 2109 2176 2220 2280 2304 2368 2400 2406 2432 2448 2516 2550 2560 2584 2664 2720 2736 2738 2775 2812 2850 2880 2907 2960 3040 3060 3145 3200 3208 3230 3264 3330 3400 3420 3515 3552 3600 3609 3648 3700 3774 3800 3825 3840 3876 4010 4080 4107 4218 4275 4352 4440 4560 4608 4736 4800 4812 4845 4864 4896 5032 5100 5168 5328 5440 5472 5476 5550 5624 5661 5700 5760 5814 5920 6015 6080 6120 6290 6327 6400 6416 6460 6528 6660 6800 6817 6840 6845 7030 7104 7200 7218 7296 7400 7548 7600 7619 7650 7680 7752 8020 8075 8160 8214 8325 8436 8550 8704 8880 9120 9435 9472 9600 9624 9690 9728 9792 10025 10064 10200 10336 10545 10656 10880 10944 10952 11100 11248 11322 11400 11520 11628 11840 11951 12030 12160 12240 12321 12580 12654 12800 12832 12920 13056 13320 13600 13634 13680 13690 14060 14208 14400 14436 14535 14592 14800 14837 15096 15200 15238 15300 15504 15725 16040 16150 16320 16428 16650 16872 17100 17575 17760 18045 18240 18870 18944 19200 19248 19380 19584 20050 20128 20400 20451 20535 20672 21090 21312 21760 21888 21904 22200 22496 22644 22800 22857 23040 23256 23273 23680 23902 24060 24225 24320 24480 24642 25160 25308 25664 25840 26011 26112 26640 27200 27268 27360 27380 28120 28305 28416 28800 28872 29070 29184 29600 29674 30075 30192 30400 30476 30600 31008 31450 31635 32080 32300 32640 32856 33300 33744 34085 34200 34225 35150 35520 35853 36090 36480 37740 38095 38400 38496 38760 39168 40100 40256 40800 40902 41070 41344 42180 42624 43520 43776 43808 44400 44511 44992 45288 45600 45714 46512 46546 47175 47360 47804 48120 48450 48640 48960 49284 50320 50616 51328 51680 52022 52725 53280 54400 54536 54720 54760 56240 56610 56832 57600 57744 58140 59200 59348 59755 60150 60384 60800 60952 61200 61353 61605 62016 62900 63270 64160 64600 65280 65712 66600 67488 68170 68400 68450 68571 69819 70300 71040 71706 72180 72675 72960 74185 75480 76190 76992 77520 78033 78336 80200 80512 81600 81804 82140 82688 84360 85248 87552 87616 88800 89022 89984 90225 90576 91200 91428 93024 93092 94350 94720 95608 96240 96900 97920 98568 100640 101232 102255 102656 102675 103360 104044 105450 106560 107559 108800 109072 109440 109520 112480 113220 114285 115200 115488 116280 116365 118400 118696 119510 120300 120768 121600 121904 122400 122706 123210 124032 125800 126540 128320 129200 129523 130055 130560 131424 133200 133533 134976 136340 136800 136900 137142 139638 140600 141525 142080 143412 144360 145350 145920 148370 150960 152380 153984 155040 156066 158175 160400 161024 163200 163608 164280 165376 168720 170425 170496 175232 177600 178044 179265 179968 180450 181152 182400 182856 186048 186184 188700 190475 191216 192480 193800 195840 197136 201280 202464 204510 205312 205350 206720 208088 209457 210900 213120 215118 217600 218144 218880 219040 222555 224960 226440 228570 230976 232560 232730 234099 236800 237392 239020 240600 241536 243200 243808 244800 245412 246420 248064 251600 252229 253080 256640 258400 259046 260110 262848 266400 267066 269952 272680 273600 273800 274284 279276 281200 281903 283050 284160 286824 288720 290700 296740 298775 301920 304760 306765 307968 308025 310080 312132 316350 320800 322048 326400 327216 328560 337440 340850 342855 349095 350464 355200 356088 358530 359936 360900 362304 364800 365712 370925 372096 372368 377400 380950 382432 384960 387600 388569 390165 391680 394272 402560 404928 409020 410700 413440 416176 418914 421800 426240 430236 436288 437760 438080 442187 445110 449920 452880 457140 461952 465120 465460 468198 473600 474784 478040 481200 483072 487616 489600 490824 492840 496128 503200 504458 506160 511275 513280 516800 518092 520220 525696 532800 534132 537795 539904 545360 547200 547600 548568 548969 558552 562400 563806 566100 571425 573648 577440 581400 581825 593480 597550 603840 609520 613530 615936 616050 620160 624264 632700 641600 647615 650275 652800 654432 657120 667665 674880 681700 685710 698190 700928 710400 712176 717060 721800 724608 729600 731424 741850 744192 744736 754800 756687 761900 764864 769920 775200 777138 780330 788544 805120 809856 818040 821400 826880 832352 837828 843600 845709 852480 860472 872576 876160 884374 890220 896325 899840 905760 914280 923904 930240 930920 936396 949568 956080 962400 966144 975232 979200 981648 985680 1006400 1008916 1012320 1022550 1026560 1033600 1036184 1040440 1047285 1051392 1065600 1068264 1075590 1079808 1090720 1094400 1095200 1097136 1097938 1112775 1117104 1124800 1127612 1132200 1142850 1147296 1154880 1162800 1163650 1165707 1170495 1186960 1195100 1207680 1219040 1227060 1232100 1240320 1248528 1261145 1265400 1283200 1295230 1300550 1308864 1314240 1326561 1335330 1349760 1363400 1371420 1396380 1409515 1420800 1424352 1434120 1443600 1449216 1462848 1483700 1488384 1489472 1509600 1513374 1523800 1529728 1533825 1539840 1550400 1554276 1560660 1577088 1610240 1619712 1636080 1642800 1646907 1664704 1675656 1687200 1691418 1714275 1720944 1745152 1745475 1752320 1768748 1780440 1792650 1799680 1811520 1828560 1847808 1860480 1861840 1872792 1899136 1912160 1924800 1942845 1950464 1950825 1958400 1963296 1971360 2012800 2017832 2024640 2045100 2067200 2072368 2080880 2094570 2102784 2131200 2136528 2151180 2181440 2188800 2190400 2194272 2195876 2210935 2225550 2234208 2249600 2255224 2264400 2270061 2285700 2294592 2309760 2325600 2327300 2331414 2340990 2373920 2390200 2415360 2438080 2454120 2464200 2480640 2497056 2522290 2530800 2537127 2566400 2590460 2601100 2617728 2628480 2653122 2670660 2688975 2699520 2726800 2742840 2744845 2792760 2819030 2848704 2868240 2887200 2898432 2925696 2967400 2978944 3019200 3026748 3047600 3059456 3067650 3079680 3100800 3108552 3121320 3154176 3238075 3239424 3272160 3285600 3293814 3329408 3338325 3351312 3374400 3382836 3428550 3441888 3490304 3490950 3504640 3537496 3560880 3585300 3623040 3657120 3720960 3723680 3745584 3783435 3798272 3824320 3849600 3885690 3900928 3901650 3926592 3942720 3979683 4025600 4035664 4049280 4090200 4134400 4144736 4161760 4189140 4228545 4262400 4273056 4302360 4362880 4380800 4388544 4391752 4421870 4451100 4468416 4499200 4510448 4528800 4540122 4571400 4589184 4619520 4651200 4654600 4662828 4681980 4747840 4780400 4792351 4830720 4876160 4908240 4928400 4940721 4994112 5044580 5061600 5074254 5132800 5180920 5202200 5235456 5236425 5256960 5306244 5341320 5377950 5399040 5453600 5485680 5489690 5585520 5638060 5697408 5736480 5774400 5828535 5851392 5852475 5934800 5957888 6038400 6053496 6095200 6118912 6135300 6201600 6217104 6242640 6305725 6308352 6476150 6544320 6571200 6587628 6632805 6658816 6676650 6702624 6748800 6765672 6857100 6883776 6981900 7047575 7074992 7121760 7170600 7246080 7314240 7441920 7447360 7491168 7566870 7596544 7648640 7699200 7771380 7803300 7853184 7885440 7959366 8051200 8071328 8098560 8180400 8234535 8289472 8323520 8378280 8457090 8546112 8604720 8725760 8761600 8777088 8783504 8843740 8902200 8936832 8998400 9020896 9057600 9080244 9142800 9178368 9239040 9302400 9309200 9325656 9332473 9363960 9495680 9560800 9584702 9714225 9752320 9816480 9856800 9881442 9988224 10089160 10123200 10148508 10361840 10404400 10430411 10470912 10472850 10513920 10612488 10682640 10755900 10907200 10971360 10979380 11054675 11171040 11276120 11350305 11394816 11472960 11548800 11657070 11702784 11704950 11869600 11915776 12076800 12106992 12190400 12270600 12403200 12434208 12485280 12611450 12685635 12952300 13088640 13142400 13175256 13265610 13317632 13353300 13405248 13497600 13531344 13714200 13724225 13767552 13963800 14095150 14149984 14243520 14341200 14377053 14492160 14628480 14894720 14982336 15133740 15297280 15398400 15542760 15606600 15706368 15770880 15918732 16142656 16197120 16360800 16469070 16578944 16647040 16756560 16914180 17092224 17209440 17451520 17523200 17554176 17567008 17687480 17804400 17873664 18041792 18115200 18160488 18285600 18356736 18604800 18618400 18651312 18664946 18727920 18917175 18991360 19121600 19169404 19428450 19504640 19632960 19713600 19762884 19898415 19976448 20178320 20246400 20297016 20723680 20808800 20860822 20945700 21142725 21224976 21365280 21511800 21814400 21942720 21958760 22109350 22342080 22552240 22700610 22789632 22945920 23097600 23314140 23409900 23739200 23961755 24153600 24213984 24380800 24541200 24703605 24868416 24970560 25222900 25371270 25904600 26177280 26284800 26350512 26531220 26706600 26810496 26995200 27062688 27428400 27448450 27535104 27927600 27997419 28190300 28299968 28487040 28682400 28754106 29142675 29256960 29789440 29964672 30267480 30594560 31085520 31213200 31291233 31412736 31541760 31837464 32285312 32721600 32938140 33157888 33164025 33294080 33513120 33828360 34184448 34418880 35108352 35134016 35374960 35608800 35747328 36083584 36230400 36320976 36571200 37209600 37236800 37302624 37329892 37455840 37834350 37982720 38243200 38338808 38856900 39265920 39427200 39525768 39796830 39952896 40356640 40492800 40594032 41172675 41447360 41617600 41721644 41891400 42285450 42449952 42730560 43023600 43131159 43628800 43885440 43917520 44218700 44684160 45104480 45401220 45891840 46195200 46628280 46662365 46819800 47478400 47923510 48427968 48761600 49082400 49407210 49736832 49941120 50445800 50742540 51809200 52152055 52354560 52569600 52701024 53062440 53413200 53620992 54125376 54856800 54896900 55070208 55855200 55994838 56380600 56599936 56751525 56974080 57364800 57508212 58285350 58513920 59578880 59929344 60534960 62171040 62426400 62582466 63428175 63674928 64570624 65443200 65876280 66315776 66328050 66588160 67026240 67656720 68368896 68837760 70268032 70749920 71217600 71885265 72167168 72460800 72641952 73142400 74473600 74605248 74659784 74911680 75668700 76486400 76677616 77713800 78531840 78854400 79051536 79593660 80713280 80985600 81188064 82345350 82894720 83235200 83443288 83782800 83992257 84570900 84899904 85461120 86047200 86262318 87257600 87770880 87835040 88437400 89368320 90208960 90802440 91783680 93256560 93324730 93639600 93873699 94956800 95847020 96855936 97523200 98164800 98814420 99473664 99492075 99882240 100891600 101485080 103618400 104304110 105402048 106124880 106826400 107241984 108250752 109713600 109793800 111710400 111989676 112761200 113199872 113503050 113948160 114729600 115016424 116570700 119808775 119858688 121069920 123518025 124342080 124852800 125164932 126856350 127349856 129141248 130886400 131752560 132656100 134052480 135313440 137675520 139987095 140536064 141499840 142435200 143770530 144334336 145283904 146284800 148947200 149210496 149319568 149823360 151337400 152972800 153355232 155427600 156456165 157063680 157708800 158103072 159187320 161426560 162376128 164690700 165789440 166470400 166886576 167565600 167984514 169141800 169799808 170922240 172094400 172524636 175541760 175670080 176874800 177316987 178736640 180417920 181604880 186513120 186649460 187279200 187747398 189913600 191694040 193711872 196329600 197628840 198947328 198984150 199764480 201783200 202970160 207236800 208608220 210804096 212249760 213652800 215655795 216501504 219427200 219587600 223420800 223979352 225522400 226399744 227006100 229459200 230032848 233141400 233311825 239617550 242139840 247036050 248684160 249705600 250329864 253712700 254699712 260760275 261772800 263505120 265312200 268104960 270626880 275351040 279974190 281072128 282999680 284870400 287541060 290567808 292569600 297894400 298420992 298639136 299646720 302674800 306710464 310855200 312912330 316206144 318374640 322853120 324752256 329381400 331578880 332940800 333773152 335131200 335969028 338283600 339599616 341844480 344188800 345049272 351340160 353749600 354633974 359426325 360835840 363209760 373026240 373298920 374558400 375494796 383388080 387423744 392659200 395257680 397968300 403566400 405940320 414473600 417216440 419961285 421608192 424499520 427305600 431311590 433003008 438854400 439175200 446841600 447958704 451044800 454012200 458918400 460065696 466282800 466623650 469368495 479235100 484279680 494072100 497368320 499411200 500659728 507425400 509399424 521520550 527010240 530624400 531950961 536209920 541253760 559948380 565999360 569740800 575082120 581135616 596841984 597278272 599293440 605349600 613420928 621710400 625824660 632412288 636749280 645706240 649504512 658762800 667546304 670262400 671938056 676567200 679199232 688377600 690098544 699935475 702680320 707499200 709267948 718852650 721671680 726419520 746052480 746597840 749116800 750989592 766776160 782280825 785318400 790515360 795936600 807132800 811880640 828947200 834432880 839922570 843216384 848999040 854611200 862623180 877708800 878350400 886584935 893683200 895917408 902089600 908024400 920131392 932565600 933247300 938736990 958470200 968559360 988144200 994736640 998822400 1001319456 1014850800 1018798848 1043041100 1054020480 1061248800 1063901922 1078278975 1082507520 1119896760 1131998720 1150164240 1162271232 1194556544 1210699200 1226841856 1243420800 1251649320 1264824576 1273498560 1299009024 1317525600 1335092608 1340524800 1343876112 1353134400 1376755200 1380197088 1399870950 1405360640 1414998400 1418535896 1437705300 1452839040 1492104960 1493195680 1498233600 1501979184 1533552320 1564561650 1581030720 1591873200 1595852883 1614265600 1623761280 1657894400 1668865760 1679845140 1697998080 1709222400 1725246360 1756700800 1773169870 1791834816 1804179200 1816048800 1840262784 1865131200 1866494600 1877473980 1916940400 1937118720 1976288400 2002638912 2029701600 2037597696 2086082200 2099806425 2108040960 2122497600 2127803844 2156557950 2165015040 2239793520 2300328480 2346842475 2389113088 2421398400 2453683712 2486841600 2503298640 2529649152 2546997120 2635051200 2659754805 2670185216 2681049600 2687752224 2706268800 2760394176 2799741900 2829996800 2837071792 2875410600 2905678080 2984209920 2986391360 2996467200 3003958368 3067104640 3129123300 3162061440 3183746400 3191705766 3228531200 3247522560 3337731520 3359690280 3395996160 3450492720 3513401600 3546339740 3583669632 3608358400 3632097600 3680525568 3730262400 3732989200 3754947960 3833880800 3952576800 4005277824 4059403200 4172164400 4199612850 4216081920 4244995200 4255607688 4313115900 4432924675 4479587040 4600656960 4693684950 4778226176 4842796800 4973683200 5006597280 5093994240 5270102400 5319509610 5340370432 5375504448 5412537600 5520788352 5599483800 5659993600 5674143584 5750821200 5811356160 5972782720 6007916736 6134209280 6258246600 6324122880 6367492800 6383411532 6495045120 6675463040 6719380560 6900985440 7026803200 7092679480 7167339264 7264195200 7361051136 7460524800 7465978400 7509895920 7667761600 7905153600 7979264415 8010555648 8118806400 8344328800 8399225700 8489990400 8511215376 8626231800 8865849350 8959174080 9201313920 9387369900 9685593600 10013194560 10187988480 10540204800 10639019220 10751008896 10825075200 11041576704 11198967600 11348287168 11501642400 11945565440 12015833472 12268418560 12516493200 12648245760 12734985600 12766823064 13298774025 13350926080 13438761120 13801970880 14185358960 14334678528 14528390400 14921049600 14931956800 15019791840 15335523200 15810307200 15958528830 16021111296 16237612800 16688657600 16798451400 16979980800 17022430752 17252463600 17731698700 17918348160 18402627840 18774739800 20026389120 21080409600 21278038440 21502017792 22083153408 22397935200 22696574336 23003284800 23891130880 24031666944 25032986400 25469971200 25533646128 26597548050 26701852160 26877522240 27603941760 28370717920 29056780800 29863913600 30039583680 30671046400 31620614400 31917057660 32475225600 33377315200 33596902800 34044861504 34504927200 35463397400 35836696320 36805255680 37549479600 39896322075 40052778240 42556076880 43004035584 44795870400 45393148672 46006569600 48063333888 50065972800 50939942400 51067292256 53195096100 53755044480 55207883520 56741435840 59727827200 60079167360 61342092800 63241228800 63834115320 66754630400 67193805600 68089723008 69009854400 70926794800 71673392640 75098959200 79792644150 80105556480 85112153760 89591740800 90786297344 92013139200 100131945600 102134584512 106390192200 107510088960 110415767040 113482871680 119455654400 120158334720 127668230640 133509260800 134387611200 136179446016 138019708800 141853589600 150197918400 159585288300 170224307520 179183481600 184026278400 200263891200 204269169024 212780384400 215020177920 226965743360 240316669440 255336461280 268775222400 272358892032 276039417600 283707179200 300395836800 319170576600 340448615040 358366963200 400527782400 408538338048 425560768800 453931486720 510672922560 537550444800 552078835200 567414358400 600791673600 638341153200 680897230080 817076676096 851121537600 1021345845120 1075100889600 1134828716800 1201583347200 1276682306400 1361794460160 1702243075200 2042691690240 2269657433600 2553364612800 3404486150400 4085383380480 5106729225600 6808972300800 10213458451200 20426916902400
- Sum of all divisors σ(n): 83946642539760
- Sum of proper divisors (its aliquot sum) s(n): 63519725637360
- 20426916902400 is an abundant number, because the sum of its proper divisors (63519725637360) is greater than itself. Its abundance is 43092808734960
Bases of 20426916902400
- Binary: 1001010010100000000110010000000110110000000002
- Hexadecimal: 0x129403203600
- Base-36: 78NZUWZK0
Squares and roots of 20426916902400
- 20426916902400 squared (204269169024002) is 417258934137554811125760000
- 20426916902400 cubed (204269169024003) is 8523313574411826737991226516045824000000
-
The
square root of 20426916902400 is 4519614.6851695223 -
The
cube root of 20426916902400 is 27335.9564599483
Scales and comparisons
How big is 20426916902400?- 20,426,916,902,400 seconds is equal to 649,512 years, 40 weeks, 1 day, 8 hours.
-
To count from 1 to 20,426,916,902,400 would take you about one million, six hundred twenty-three thousand, seven hundred eighty-one years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 20426916902400 cubic inches would be around 2278 feet tall.
Recreational maths with 20426916902400
- 20426916902400 backwards is 00420961962402
- 20426916902400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 20426916902400's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 20426916902400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 20426916902400 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/20426916902400/
Chicago style:
Numbermatics. 2024. "Number 20426916902400 - Facts about the integer". https://numbermatics.com/n/20426916902400/
The information we have on file for 20426916902400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 20426916902400, math, Factors of 20426916902400, curriculum, school, college, exams, university, Prime factorization of 20426916902400, STEM, science, technology, engineering, physics, economics, calculator, twenty trillion, four hundred twenty-six billion, nine hundred sixteen million, nine hundred two thousand, four hundred.