138731452157132800
138,731,452,157,132,800 is an even composite number composed of five prime numbers multiplied together.
138731452157132800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 138731452157132800:
224 × 52 × 7 × 193 × 832
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 19 × 19 × 19 × 83 × 83)See below for interesting mathematical facts about the number 138731452157132800 from the Numbermatics database.
Names of 138731452157132800
- Cardinal: 138731452157132800 can be written as One hundred thirty-eight quadrillion, seven hundred thirty-one trillion, four hundred fifty-two billion, one hundred fifty-seven million, one hundred thirty-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.387314521571328 × 1017
Factors of 138731452157132800
Divisors of 138731452157132800
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 64 70 76 80 83 95 100 112 128 133 140 152 160 166 175 190 200 224 256 266 280 304 320 332 350 361 380 400 415 448 475 512 532 560 581 608 640 664 665 700 722 760 800 830 896 950 1024 1064 1120 1162 1216 1280 1328 1330 1400 1444 1520 1577 1600 1660 1792 1805 1900 2048 2075 2128 2240 2324 2432 2527 2560 2656 2660 2800 2888 2905 3040 3154 3200 3320 3325 3584 3610 3800 4096 4150 4256 4480 4648 4864 5054 5120 5312 5320 5600 5776 5810 6080 6308 6400 6640 6650 6859 6889 7168 7220 7600 7885 8192 8300 8512 8960 9025 9296 9728 10108 10240 10624 10640 11039 11200 11552 11620 12160 12616 12635 12800 13280 13300 13718 13778 14336 14440 14525 15200 15770 16384 16600 17024 17920 18050 18592 19456 20216 20480 21248 21280 22078 22400 23104 23240 24320 25232 25270 25600 26560 26600 27436 27556 28672 28880 29050 29963 30400 31540 32768 33200 34048 34295 34445 35840 36100 37184 38912 39425 40432 40960 42496 42560 44156 44800 46208 46480 48013 48223 48640 50464 50540 51200 53120 53200 54872 55112 55195 57344 57760 58100 59926 60800 63080 63175 65536 66400 68096 68590 68890 71680 72200 74368 77824 78850 80864 81920 84992 85120 88312 89600 92416 92960 96026 96446 97280 100928 101080 102400 106240 106400 109744 110224 110390 114688 115520 116200 119852 121600 126160 126350 130891 131072 132800 136192 137180 137780 143360 144400 148736 149815 155648 157700 161728 163840 169984 170240 171475 172225 176624 179200 184832 185920 192052 192892 194560 201856 202160 204800 209741 212480 212800 219488 220448 220780 229376 231040 232400 239704 240065 241115 243200 252320 252700 261782 262144 265600 272384 274360 275560 275975 286720 288800 297472 299630 311296 315400 323456 327680 339968 340480 342950 344450 353248 358400 369664 371840 384104 385784 389120 403712 404320 409600 419482 424960 425600 438976 440896 441560 458752 462080 464800 479408 480130 482230 486400 504640 505400 523564 524288 531200 544768 548720 551120 551950 569297 573440 577600 594944 599260 622592 630800 646912 654455 655360 679936 680960 685900 688900 706496 716800 739328 743680 749075 768208 771568 778240 807424 808640 819200 838964 849920 851200 877952 881792 883120 916237 917504 924160 929600 958816 960260 964460 972800 1009280 1010800 1047128 1048576 1048705 1062400 1089536 1097440 1102240 1103900 1138594 1146880 1155200 1189888 1198520 1200325 1205575 1245184 1261600 1293824 1308910 1310720 1359872 1361920 1371800 1377800 1412992 1433600 1478656 1487360 1498150 1536416 1543136 1556480 1614848 1617280 1638400 1677928 1699840 1702400 1755904 1763584 1766240 1832474 1835008 1848320 1859200 1917632 1920520 1928920 1945600 2018560 2021600 2094256 2097152 2097410 2124800 2179072 2194880 2204480 2207800 2277188 2293760 2310400 2379776 2397040 2400650 2411150 2486929 2490368 2523200 2587648 2617820 2621440 2719744 2723840 2743600 2755600 2825984 2846485 2867200 2957312 2974720 2996300 3072832 3086272 3112960 3229696 3234560 3272275 3276800 3355856 3399680 3404800 3511808 3527168 3532480 3664948 3670016 3696640 3718400 3835264 3841040 3857840 3891200 3985079 4037120 4043200 4188512 4194304 4194820 4249600 4358144 4389760 4408960 4415600 4554376 4581185 4587520 4620800 4759552 4794080 4801300 4822300 4973858 4980736 5046400 5175296 5235640 5242880 5243525 5439488 5447680 5487200 5511200 5651968 5692970 5734400 5914624 5949440 5992600 6145664 6172544 6225920 6459392 6469120 6544550 6553600 6711712 6799360 6809600 7023616 7054336 7064960 7329896 7340032 7393280 7436800 7670528 7682080 7715680 7782400 7970158 8074240 8086400 8377024 8388608 8389640 8499200 8716288 8779520 8817920 8831200 9108752 9162370 9175040 9241600 9519104 9588160 9602600 9644600 9947716 9961472 10092800 10350592 10471280 10485760 10487050 10878976 10895360 10974400 11022400 11303936 11385940 11468800 11829248 11898880 11985200 12291328 12345088 12434645 12451840 12918784 12938240 13089100 13107200 13423424 13598720 13619200 14047232 14108672 14129920 14232425 14659792 14680064 14786560 14873600 15341056 15364160 15431360 15564800 15940316 16148480 16172800 16754048 16777216 16779280 16998400 17408503 17432576 17559040 17635840 17662400 18217504 18324740 18350080 18483200 19038208 19176320 19205200 19289200 19895432 19922944 19925395 20185600 20701184 20942560 20971520 20974100 21757952 21790720 21948800 22044800 22607872 22771880 22905925 22937600 23658496 23797760 23970400 24582656 24690176 24869290 24903680 25837568 25876480 26178200 26214400 26846848 27197440 27238400 28094464 28217344 28259840 28464850 29319584 29360128 29573120 29747200 30682112 30728320 30862720 31129600 31880632 32296960 32345600 33508096 33558560 33996800 34817006 34865152 35118080 35271680 35324800 36435008 36649480 36700160 36966400 38076416 38352640 38410400 38578400 39790864 39845888 39850790 40371200 41402368 41885120 41943040 41948200 43515904 43581440 43897600 44089600 45215744 45543760 45811850 45875200 47251651 47316992 47595520 47940800 49165312 49380352 49738580 49807360 51675136 51752960 52356400 52428800 53693696 54394880 54476800 56188928 56434688 56519680 56929700 58639168 58720256 59146240 59494400 61364224 61456640 61725440 62173225 62259200 63761264 64593920 64691200 67016192 67117120 67993600 69634012 69730304 70236160 70543360 70649600 72870016 73298960 73400320 73932800 76152832 76705280 76820800 77156800 79581728 79691776 79701580 80742400 82804736 83770240 83886080 83896400 87031808 87042515 87162880 87795200 88179200 90431488 91087520 91623700 91750400 94503302 94633984 95191040 95881600 98330624 98760704 99477160 99614720 99626975 103350272 103505920 104712800 104857600 107387392 108789760 108953600 112377856 112869376 113039360 113859400 117278336 117440512 118292480 118988800 122728448 122913280 123450880 124346450 124518400 127522528 129187840 129382400 134032384 134234240 135987200 139268024 139460608 140472320 141086720 141299200 145740032 146597920 146800640 147865600 152305664 153410560 153641600 154313600 159163456 159383552 159403160 161484800 165609472 167540480 167792800 174063616 174085030 174325760 175590400 176358400 180862976 182175040 183247400 183500800 189006604 189267968 190382080 191763200 196661248 197521408 198954320 199229440 199253950 206700544 207011840 209425600 209715200 214774784 217579520 217907200 224755712 225738752 226078720 227718800 234556672 236258255 236584960 237977600 245456896 245826560 246901760 248692900 249036800 255045056 258375680 258764800 268064768 268468480 271974400 278536048 278921216 280944640 282173440 282598400 291480064 293195840 293601280 295731200 304611328 306821120 307283200 308627200 318326912 318767104 318806320 322969600 330761557 331218944 335080960 335585600 348127232 348170060 348651520 351180800 352716800 361725952 364350080 366494800 367001600 378013208 378535936 380764160 383526400 393322496 395042816 397908640 398458880 398507900 413401088 414023680 418851200 419430400 429549568 435159040 435212575 435814400 449511424 451477504 452157440 455437600 469113344 472516510 473169920 475955200 490913792 491653120 493803520 497385800 498073600 510090112 516751360 517529600 536129536 536936960 543948800 557072096 557842432 561889280 564346880 565196800 582960128 586391680 587202560 591462400 609222656 613642240 614566400 617254400 636653824 637612640 645939200 661523114 662437888 670161920 671171200 696254464 696340120 697303040 702361600 705433600 723451904 728700160 732989600 734003200 756026416 757071872 761528320 767052800 786644992 790085632 795817280 796917760 797015800 826802176 828047360 837702400 859099136 870318080 870425150 871628800 899022848 902955008 904314880 910875200 938226688 945033020 946339840 951910400 981827584 983306240 987607040 994771600 996147200 1020180224 1033502720 1035059200 1072259072 1073873920 1087897600 1114144192 1115684864 1123778560 1128693760 1130393600 1165920256 1172783360 1181291275 1182924800 1218445312 1227284480 1229132800 1234508800 1273307648 1275225280 1291878400 1323046228 1324875776 1340323840 1342342400 1392508928 1392680240 1394606080 1404723200 1410867200 1446903808 1457400320 1465979200 1468006400 1512052832 1514143744 1523056640 1534105600 1573289984 1580171264 1591634560 1593835520 1594031600 1653604352 1653807785 1656094720 1675404800 1718198272 1740636160 1740850300 1743257600 1798045696 1805910016 1808629760 1821750400 1876453376 1890066040 1892679680 1903820800 1963655168 1966612480 1975214080 1989543200 1992294400 2040360448 2067005440 2070118400 2144518144 2147747840 2175795200 2228288384 2231369728 2247557120 2257387520 2260787200 2331840512 2345566720 2362582550 2365849600 2436890624 2454568960 2458265600 2469017600 2546615296 2550450560 2583756800 2646092456 2649751552 2680647680 2684684800 2785360480 2789212160 2809446400 2821734400 2893807616 2914800640 2931958400 2936012800 3024105664 3028287488 3046113280 3068211200 3146579968 3160342528 3183269120 3188063200 3307208704 3307615570 3312189440 3350809600 3436396544 3481272320 3481700600 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9818275840 9833062400 9876070400 10186461184 10201802240 10335027200 10584369824 10599006208 10722590720 10738739200 11141441920 11156848640 11237785600 11286937600 11575230464 11659202560 11727833600 12096422656 12184453120 12272844800 12586319872 12641370112 12733076480 12752252800 13228834816 13230462280 13248757760 13403238400 13745586176 13926802400 13946060800 14384365568 14447280128 14469038080 14574003200 15011627008 15120528320 15141437440 15230566400 15709241344 15732899840 15801712640 15916345600 16322883584 16536043520 16538077850 16560947200 17156145152 17181982720 17406361600 17826307072 17980456960 18059100160 18086297600 18654724096 18764533760 18900660400 18926796800 19636551680 19666124800 19752140800 20372922368 20403604480 20670054400 21168739648 21198012416 21445181440 21477478400 22282883840 22475571200 22573875200 23150460928 23318405120 23455667200 24192845312 24368906240 24545689600 25172639744 25282740224 25466152960 25504505600 26457669632 26460924560 26497515520 26806476800 27491172352 27853604800 27892121600 28768731136 28894560256 28938076160 29148006400 30023254016 30241056640 30282874880 30461132800 31418482688 31465799680 31603425280 31832691200 32645767168 33072087040 33076155700 33121894400 34312290304 34363965440 34812723200 35652614144 35960913920 36118200320 36172595200 37309448192 37529067520 37801320800 37853593600 39273103360 39332249600 39504281600 40745844736 40807208960 41340108800 42337479296 42396024832 42890362880 42954956800 44565767680 44951142400 45147750400 46300921856 46636810240 46911334400 48385690624 48737812480 49091379200 50345279488 50565480448 50932305920 51009011200 52921849120 52995031040 53612953600 54982344704 55707209600 55784243200 57537462272 57789120512 57876152320 58296012800 60046508032 60482113280 60922265600 62836965376 62931599360 63206850560 63665382400 65291534336 66144174080 66152311400 66243788800 68624580608 68727930880 71305228288 71921827840 72236400640 72345190400 74618896384 75058135040 75602641600 75707187200 78546206720 78664499200 79008563200 81491689472 81614417920 82680217600 84674958592 85780725760 85909913600 89131535360 89902284800 90295500800 92601843712 93273620480 93822668800 96771381248 98182758400 100690558976 101130960896 101864611840 102018022400 105843698240 105990062080 107225907200 109964689408 111414419200 115074924544 115578241024 115752304640 116592025600 120093016064 120964226560 121844531200 125673930752 125863198720 126413701120 127330764800 130583068672 132288348160 132304622800 132487577600 137249161216 137455861760 142610456576 143843655680 144472801280 144690380800 149237792768 150116270080 151205283200 151414374400 157092413440 157328998400 158017126400 162983378944 163228835840 165360435200 169349917184 171561451520 171819827200 178263070720 179804569600 180591001600 185203687424 186547240960 187645337600 193542762496 196365516800 201381117952 202261921792 203729223680 204036044800 211687396480 211980124160 214451814400 219929378816 222828838400 231504609280 233184051200 240186032128 241928453120 243689062400 251347861504 251726397440 252827402240 254661529600 261166137344 264609245600 264975155200 274498322432 274911723520 285220913152 287687311360 288945602560 289380761600 298475585536 300232540160 302410566400 314184826880 314657996800 316034252800 325966757888 326457671680 330720870400 338699834368 343122903040 343639654400 356526141440 359609139200 361182003200 373094481920 375290675200 387085524992 392731033600 402762235904 404523843584 407458447360 408072089600 423374792960 428903628800 439858757632 445657676800 463009218560 466368102400 480372064256 483856906240 502695723008 503452794880 505654804480 509323059200 522332274688 529218491200 529950310400 548996644864 549823447040 570441826304 575374622720 577891205120 578761523200 596951171072 600465080320 604821132800 628369653760 629315993600 632068505600 651933515776 652915343360 661441740800 677399668736 686245806080 687279308800 713052282880 719218278400 722364006400 746188963840 750581350400 774171049984 785462067200 805524471808 809047687168 814916894720 816144179200 846749585920 857807257600 879717515264 891315353600 926018437120 932736204800 960744128512 967713812480 1006905589760 1011309608960 1018646118400 1044664549376 1058436982400 1059900620800 1097993289728 1099646894080 1140883652608 1157523046400 1193902342144 1200930160640 1209642265600 1256739307520 1258631987200 1264137011200 1303867031552 1305830686720 1354799337472 1372491612160 1374558617600 1426104565760 1438436556800 1444728012800 1492377927680 1501162700800 1548342099968 1570924134400 1629833789440 1632288358400 1693499171840 1715614515200 1759435030528 1782630707200 1865472409600 1921488257024 1935427624960 2013811179520 2022619217920 2037292236800 2089329098752 2116873964800 2195986579456 2199293788160 2281767305216 2315046092800 2387804684288 2401860321280 2419284531200 2513478615040 2517263974400 2528274022400 2607734063104 2611661373440 2709598674944 2744983224320 2749117235200 2852209131520 2876873113600 2889456025600 2984755855360 3002325401600 3096684199936 3141848268800 3259667578880 3264576716800 3386998343680 3431229030400 3518870061056 3565261414400 3730944819200 3842976514048 3870855249920 4027622359040 4045238435840 4074584473600 4178658197504 4233747929600 4398587576320 4563534610432 4630092185600 4775609368576 4803720642560 4838569062400 5034527948800 5056548044800 5215468126208 5223322746880 5419197349888 5489966448640 5498234470400 5704418263040 5969511710720 6004650803200 6193368399872 6283696537600 6519335157760 6529153433600 6773996687360 6862458060800 7130522828800 7461889638400 7685953028096 7741710499840 8149168947200 8357316395008 8467495859200 8797175152640 9127069220864 9551218737152 9607441285120 9677138124800 10069055897600 10113096089600 10430936252416 10446645493760 10838394699776 10979932897280 10996468940800 11408836526080 11939023421440 12009301606400 12386736799744 12567393075200 13038670315520 13058306867200 13547993374720 13724916121600 14261045657600 14923779276800 15371906056192 15483420999680 16298337894400 16714632790016 16934991718400 17594350305280 18254138441728 19214882570240 19354276249600 20138111795200 20226192179200 20861872504832 20893290987520 21676789399552 21992937881600 22817673052160 23878046842880 24018603212800 24773473599488 26077340631040 26116613734400 27095986749440 27449832243200 28522091315200 29847558553600 30966841999360 32596675788800 33429265580032 33869983436800 36508276883456 38429765140480 38708552499200 41723745009664 41786581975040 43353578799104 43985875763200 45635346104320 47756093685760 48037206425600 49546947198976 52154681262080 52233227468800 54191973498880 54899664486400 57044182630400 59695117107200 61933683998720 65193351577600 66858531160064 67739966873600 73016553766912 76859530280960 77417104998400 83573163950080 86707157598208 87971751526400 91270692208640 96074412851200 99093894397952 104309362524160 104466454937600 108383946997760 114088365260800 119390234214400 123867367997440 130386703155200 135479933747200 146033107533824 154834209996800 167146327900160 173414315196416 182541384417280 192148825702400 198187788795904 208618725048320 208932909875200 216767893995520 228176730521600 238780468428800 247734735994880 260773406310400 270959867494400 292066215067648 309668419993600 334292655800320 346828630392832 365082768834560 384297651404800 396375577591808 417865819750400 433535787991040 456353461043200 495469471989760 521546812620800 541919734988800 619336839987200 693657260785664 730165537669120 792751155183616 835731639500800 867071575982080 912706922086400 990938943979520 1043093625241600 1083839469977600 1238673679974400 1387314521571328 1460331075338240 1671463279001600 1734143151964160 1825413844172800 1981877887959040 2167678939955200 2477347359948800 2774629043142656 3468286303928320 3650827688345600 3963755775918080 4335357879910400 4954694719897600 5549258086285312 6936572607856640 7301655376691200 8670715759820800 9909389439795200 13873145215713280 17341431519641600 19818778879590400 27746290431426560 34682863039283200 69365726078566400 138731452157132800
- Sum of all divisors σ(n): 420106877041213760
- Sum of proper divisors (its aliquot sum) s(n): 281375424884080960
- 138731452157132800 is an abundant number, because the sum of its proper divisors (281375424884080960) is greater than itself. Its abundance is 142643972726948160
Bases of 138731452157132800
- Binary: 1111011001101111110000101010011010000000000000000000000002
- Hexadecimal: 0x1ECDF854D000000
- Base-36: 11Y071AAEQKG
Squares and roots of 138731452157132800
- 138731452157132800 squared (1387314521571328002) is 19246415817626827026341916835840000
- 138731452157132800 cubed (1387314521571328003) is 2670083215199380114905249056864107989462679552000000
-
The
square root of 138731452157132800 is 372466712.8175789081 -
The
cube root of 138731452157132800 is 517676.3333306309
Scales and comparisons
How big is 138731452157132800?- 138,731,452,157,132,800 seconds is equal to 4,411,231,054 years, 2 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,731,452,157,132,800 would take you about thirteen billion, two hundred thirty-three million, six hundred ninety-three thousand, one hundred sixty-two 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 138731452157132800 cubic inches would be around 43139.7 feet tall.
Recreational maths with 138731452157132800
- 138731452157132800 backwards is 008231751254137831
- The number of decimal digits it has is: 18
- The sum of 138731452157132800's digits is 61
- More coming soon!
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"Number 138731452157132800 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 138731452157132800 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138731452157132800/
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Numbermatics. 2024. "Number 138731452157132800 - Facts about the integer". https://numbermatics.com/n/138731452157132800/
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