13398842246400
13,398,842,246,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13398842246400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
13398842246400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13398842246400:
28 × 32 × 52 × 13 × 41 × 607 × 719
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 41 × 607 × 719)See below for interesting mathematical facts about the number 13398842246400 from the Numbermatics database.
Names of 13398842246400
- Cardinal: 13398842246400 can be written as Thirteen trillion, three hundred ninety-eight billion, eight hundred forty-two million, two hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.33988422464 × 1013
Factors of 13398842246400
Divisors of 13398842246400
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 41 45 48 50 52 60 64 65 72 75 78 80 82 90 96 100 104 117 120 123 128 130 144 150 156 160 164 180 192 195 200 205 208 225 234 240 246 256 260 288 300 312 320 325 328 360 369 384 390 400 410 416 450 468 480 492 520 533 576 585 600 607 615 624 640 650 656 719 720 738 768 780 800 820 832 900 936 960 975 984 1025 1040 1066 1152 1170 1200 1214 1230 1248 1280 1300 1312 1438 1440 1476 1560 1599 1600 1640 1664 1800 1821 1845 1872 1920 1950 1968 2050 2080 2132 2157 2304 2340 2400 2428 2460 2496 2600 2624 2665 2876 2880 2925 2952 3035 3075 3120 3198 3200 3280 3328 3595 3600 3642 3690 3744 3840 3900 3936 4100 4160 4264 4314 4680 4797 4800 4856 4920 4992 5200 5248 5330 5463 5752 5760 5850 5904 6070 6150 6240 6396 6400 6471 6560 7190 7200 7284 7380 7488 7800 7872 7891 7995 8200 8320 8528 8628 9105 9225 9347 9360 9594 9600 9712 9840 9984 10400 10496 10660 10785 10926 11504 11520 11700 11808 12140 12300 12480 12792 12942 13120 13325 14380 14400 14568 14760 14976 15175 15600 15744 15782 15990 16400 16640 17056 17256 17975 18210 18450 18694 18720 19188 19200 19424 19680 20800 21320 21570 21852 23008 23400 23616 23673 23985 24280 24600 24887 24960 25584 25884 26240 26650 27315 28041 28760 28800 29136 29479 29520 29952 30350 31200 31488 31564 31980 32355 32800 34112 34512 35950 36420 36900 37388 37440 38376 38848 39360 39455 39975 41600 42640 43140 43704 45525 46016 46735 46800 47232 47346 47970 48560 49200 49774 49920 51168 51768 52480 53300 53925 54630 56082 57520 57600 58272 58958 59040 60700 62400 63128 63960 64710 65600 68224 69024 71019 71900 72840 73800 74661 74776 74880 76752 77696 78720 78910 79950 83200 84123 85280 86280 87408 88437 91050 92032 93470 93600 94464 94692 95940 97120 98400 99548 102336 103536 106600 107850 109260 112164 115040 116544 117916 118080 118365 119925 121400 124435 124800 126256 127920 129420 131200 136448 136575 138048 140205 142038 143800 145680 147395 147600 149322 149552 149760 153504 155392 157440 157820 159900 161775 168246 170560 172560 174816 176874 182100 184064 186940 187200 189384 191880 194240 196800 197275 199096 204672 207072 213200 215700 218520 223983 224328 230080 233088 233675 235832 236160 236730 239850 242800 248870 249600 252512 255840 258840 262400 265311 273150 276096 280410 284076 287600 291360 294790 295200 298644 299104 307008 315640 319800 323531 323550 336492 341120 345120 349632 353748 355095 364200 373305 373880 374400 378768 383227 383760 388480 393600 394550 398192 409344 414144 420615 426400 431400 436433 437040 442185 447966 448656 460160 466176 467350 471664 472320 473460 479700 485600 497740 505024 511680 517680 530622 546300 552192 560820 568152 575200 582720 589580 590400 591825 597288 598208 614016 622175 631280 639600 647062 647100 672984 682240 690240 699264 701025 707496 710190 728400 736975 746610 747760 748800 757536 766454 767520 776960 787200 789100 796384 828288 841230 852800 862800 872866 874080 884370 895932 897312 920320 934700 943328 946920 959400 970593 971200 995480 1010048 1023360 1035360 1061244 1092600 1119915 1121640 1136304 1149681 1150400 1165440 1179160 1180800 1183650 1194576 1196416 1228032 1244350 1262560 1279200 1294124 1294200 1309299 1326555 1345968 1380480 1398528 1402050 1414992 1420380 1456800 1473950 1493220 1495520 1515072 1532908 1535040 1578200 1592768 1617655 1656576 1682460 1705600 1725600 1745732 1748160 1768740 1775475 1791864 1794624 1866525 1869400 1886656 1893840 1916135 1918800 1941186 1942400 1990960 2020096 2046720 2070720 2103075 2122488 2182165 2185200 2210925 2239830 2243280 2272608 2299362 2300800 2330880 2358320 2361600 2367300 2389152 2392832 2488700 2525120 2558400 2588248 2588400 2618598 2653110 2691936 2760960 2804100 2829984 2840760 2911779 2913600 2947900 2986440 2991040 3030144 3065816 3070080 3156400 3185536 3235310 3364920 3411200 3449043 3451200 3491464 3496320 3537480 3550950 3583728 3589248 3733050 3738800 3773312 3787680 3832270 3837600 3882372 3884800 3927897 3981920 4141440 4206150 4244976 4364330 4370400 4421850 4479660 4486560 4545216 4598724 4601600 4716640 4734600 4778304 4852965 4977400 5050240 5116800 5176496 5176800 5237196 5306220 5383872 5599575 5608200 5659968 5673629 5681520 5748405 5823558 5827200 5895800 5972880 5982080 6060288 6131632 6140160 6312800 6371072 6470620 6546495 6632775 6729840 6898086 6902400 6982928 6992640 7074960 7101900 7167456 7178496 7466100 7477600 7546624 7575360 7664540 7675200 7764744 7855794 7963840 8088275 8282880 8412300 8489952 8728660 8740800 8843700 8959320 8973120 9090432 9197448 9433280 9469200 9556608 9580675 9705930 9954800 10100480 10233600 10352992 10353600 10474392 10612440 10767744 10910825 11199150 11216400 11319936 11347258 11363040 11496810 11647116 11654400 11791600 11945760 11964160 12263264 12625600 12941240 13092990 13265550 13459680 13796172 13804800 13965856 14149920 14203800 14334912 14558895 14932200 14955200 15150720 15329080 15350400 15529488 15711588 15927680 16176550 16824600 16979904 17020887 17245215 17457320 17481600 17687400 17893753 17918640 17946240 18180864 18394896 18866560 18938400 19113216 19161350 19411860 19639485 19909600 20705984 20707200 20948784 21224880 21535488 21821650 22398300 22432800 22639872 22694516 22726080 22993620 23294232 23583200 23891520 24264825 24526528 25251200 25882480 26185980 26531100 26919360 27592344 27931712 28299840 28368145 28407600 28669824 28742025 29117790 29864400 29910400 30301440 30658160 30700800 31058976 31423176 31855360 32353100 32732475 33649200 33959808 34041774 34490430 34914640 34963200 35374800 35787506 35837280 35892480 36789792 37733120 37876800 38322700 38823720 39278970 39819200 41411968 41414400 41897568 42449760 43643300 44796600 44865600 45389032 45452160 45987240 46588464 47166400 47783040 48529650 49053056 50502400 51062661 51764960 52371960 53062200 53681259 53838720 55184688 55863424 56599680 56736290 56815200 57339648 57484050 58235580 59728800 59820800 61316320 62117952 62846352 64706200 65464950 67298400 67919616 68083548 68980860 69829280 70749600 71575012 71674560 72794475 73579584 75753600 76645400 77647440 78557940 79638400 82823936 83795136 84899520 85104435 86226075 87286600 89468765 89593200 89731200 90778064 90904320 91974480 93176928 94332800 95566080 97059300 98106112 98197425 102125322 103529920 104743920 106124400 107362518 107677440 110369376 111726848 113199360 113472580 113630400 114968100 116471160 119457600 122632640 124235904 125692704 129412400 130929900 134596800 136167096 137961720 139658560 141499200 141840725 143150024 143349120 145588950 147159168 151507200 153290800 155294880 157115880 159276800 161043777 167590272 169799040 170208870 172452150 174573200 178937530 179186400 179462400 181556128 183948960 186353856 188665600 194118600 196394850 204250644 207059840 209487840 212248800 214725036 220738752 226945160 227260800 229936200 232618789 232942320 238915200 245265280 248471808 251385408 255313305 258824800 261859800 268406295 269193600 272334192 275923440 279317120 282998400 283681450 286300048 286698240 291177900 294318336 306581600 310589760 314231760 322087554 335180544 339598080 340417740 344904300 349146400 357875060 358372800 363112256 367897920 372707712 388237200 392789700 408501288 414119680 418975680 424497600 425522175 429450072 441477504 447343825 453890320 454521600 459872400 465237578 465884640 477830400 490530560 502770816 510626610 517649600 523719600 536812590 538387200 544668384 551846880 558634240 565996800 567362900 572600096 582355800 613163200 621179520 628463520 644175108 680835480 689808600 697856367 698292800 715750120 716745600 726224512 735795840 745415424 776474400 785579400 805218885 817002576 837951360 848995200 851044350 858900144 882955008 894687650 907780640 919744800 930475156 931769280 1005541632 1021253220 1035299200 1047439200 1073625180 1089336768 1103693760 1134725800 1145200192 1163093945 1164711600 1226326400 1242359040 1256927040 1276566525 1288350216 1342031475 1361670960 1379617200 1395712734 1396585600 1431500240 1433491200 1452449024 1471591680 1552948800 1571158800 1610437770 1634005152 1675902720 1697990400 1702088700 1717800288 1789375300 1815561280 1839489600 1860950312 1863538560 2042506440 2070598400 2093569101 2094878400 2147250360 2178673536 2207387520 2269451600 2290400384 2326187890 2329423200 2452652800 2513854080 2553133050 2576700432 2684062950 2723341920 2759234400 2791425468 2793171200 2863000480 3105897600 3142317600 3220875540 3268010304 3404177400 3435600576 3489281835 3578750600 3631122560 3678979200 3721900624 3727077120 4026094425 4085012880 4187138202 4189756800 4294500720 4357347072 4414775040 4538903200 4580800768 4652375780 4658846400 5027708160 5106266100 5153400864 5368125900 5446683840 5518468800 5582850936 5726000960 5815469725 6211795200 6284635200 6441751080 6536020608 6808354800 6871201152 6978563670 7157501200 7262245120 7357958400 7443801248 8052188850 8170025760 8374276404 8379513600 8589001440 9077806400 9304751560 9317692800 10212532200 10306801728 10467845505 10736251800 10893367680 11036937600 11165701872 11452001920 11630939450 12569270400 12883502160 13072041216 13616709600 13742402304 13957127340 14315002400 14887602496 16104377700 16340051520 16748552808 17178002880 17446409175 18155612800 18609503120 18635385600 20425064400 20613603456 20935691010 21472503600 21786735360 22073875200 22331403744 22904003840 23261878900 25138540800 25767004320 27233419200 27914254680 28630004800 29775204992 32208755400 32680103040 33497105616 34356005760 34892818350 36311225600 37219006240 40850128800 41227206912 41871382020 42945007200 44662807488 46523757800 51534008640 52339227525 54466838400 55828509360 57260009600 59550409984 64417510800 65360206080 66994211232 68712011520 69785636700 74438012480 81700257600 83742764040 85890014400 89325614976 93047515600 103068017280 104678455050 108933676800 111657018720 114520019200 128835021600 133988422464 139571273400 148876024960 163400515200 167485528080 171780028800 178651229952 186095031200 206136034560 209356910100 223314037440 257670043200 267976844928 279142546800 297752049920 326801030400 334971056160 343560057600 372190062400 418713820200 446628074880 515340086400 535953689856 558285093600 669942112320 744380124800 837427640400 893256149760 1030680172800 1116570187200 1339884224640 1488760249600 1674855280800 2233140374400 2679768449280 3349710561600 4466280748800 6699421123200 13398842246400
- Sum of all divisors σ(n): 53007747287040
- Sum of proper divisors (its aliquot sum) s(n): 39608905040640
- 13398842246400 is an abundant number, because the sum of its proper divisors (39608905040640) is greater than itself. Its abundance is 26210062794240
Bases of 13398842246400
- Binary: 110000101111101010010011101110000101000000002
- Hexadecimal: 0xC2FA93B8500
- Base-36: 4QZCCQ4G0
Squares and roots of 13398842246400
- 13398842246400 squared (133988422464002) is 179528973543913398312960000
- 13398842246400 cubed (133988422464003) is 2405480395173014766898678936633344000000
-
The
square root of 13398842246400 is 3660442.9030378277 -
The
cube root of 13398842246400 is 23751.3933048671
Scales and comparisons
How big is 13398842246400?- 13,398,842,246,400 seconds is equal to 426,041 years, 38 weeks, 2 days, 16 hours.
-
To count from 1 to 13,398,842,246,400 would take you about one million, sixty-five thousand, one hundred four 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 13398842246400 cubic inches would be around 1979.3 feet tall.
Recreational maths with 13398842246400
- 13398842246400 backwards is 00464224889331
- The number of decimal digits it has is: 14
- The sum of 13398842246400's digits is 54
- More coming soon!
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The information we have on file for 13398842246400 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!
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