138366216656400
138,366,216,656,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138366216656400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
138366216656400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138366216656400:
24 × 3 × 52 × 19 × 37 × 139 × 1179991
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 37 × 139 × 1179991)See below for interesting mathematical facts about the number 138366216656400 from the Numbermatics database.
Names of 138366216656400
- Cardinal: 138366216656400 can be written as One hundred thirty-eight trillion, three hundred sixty-six billion, two hundred sixteen million, six hundred fifty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.383662166564 × 1014
Factors of 138366216656400
Divisors of 138366216656400
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 37 38 40 48 50 57 60 74 75 76 80 95 100 111 114 120 139 148 150 152 185 190 200 222 228 240 278 285 296 300 304 370 380 400 417 444 456 475 555 556 570 592 600 695 703 740 760 834 888 912 925 950 1110 1112 1140 1200 1390 1406 1425 1480 1520 1668 1776 1850 1900 2085 2109 2220 2224 2280 2641 2775 2780 2812 2850 2960 3336 3475 3515 3700 3800 4170 4218 4440 4560 5143 5282 5550 5560 5624 5700 6672 6950 7030 7400 7600 7923 8340 8436 8880 10286 10425 10545 10564 11100 11120 11248 11400 13205 13900 14060 14800 15429 15846 16680 16872 17575 20572 20850 21090 21128 22200 22800 25715 26410 27800 28120 30858 31692 33360 33744 35150 39615 41144 41700 42180 42256 44400 51430 52725 52820 55600 56240 61716 63384 66025 70300 77145 79230 82288 83400 84360 97717 102860 105450 105640 123432 126768 128575 132050 140600 154290 158460 166800 168720 195434 198075 205720 210900 211280 246864 257150 264100 281200 293151 308580 316920 385725 390868 396150 411440 421800 488585 514300 528200 586302 617160 633840 771450 781736 792300 843600 977170 1028600 1056400 1172604 1179991 1234320 1465755 1542900 1563472 1584600 1954340 2057200 2345208 2359982 2442925 2931510 3085800 3169200 3539973 3908680 4690416 4719964 4885850 5863020 5899955 6171600 7079946 7328775 7817360 9439928 9771700 11726040 11799910 14159892 14657550 17699865 18879856 19543400 22419829 23452080 23599820 28319784 29315100 29499775 35399730 39086800 43659667 44839658 47199640 56639568 58630200 58999550 67259487 70799460 87319334 88499325 89679316 94399280 112099145 117260400 117999100 130979001 134518974 141598920 164018749 174638668 176998650 179358632 218298335 224198290 235998200 261958002 269037948 283197840 328037498 336297435 349277336 353997300 358717264 436596670 448396580 471996400 492056247 523916004 538075896 560495725 654895005 656074996 672594870 698554672 707994600 820093745 829533673 873193340 896793160 984112494 1047832008 1076151792 1091491675 1120991450 1309790010 1312149992 1345189740 1415989200 1640187490 1659067346 1681487175 1746386680 1793586320 1968224988 2095664016 2182983350 2241982900 2460281235 2488601019 2619580020 2624299984 2690379480 3116356231 3274475025 3280374980 3318134692 3362974350 3492773360 3936449976 4100468725 4147668365 4365966700 4483965800 4920562470 4977202038 5239160040 5380758960 6068693713 6232712462 6548950050 6560749960 6636269384 6725948700 7872899952 8200937450 8295336730 8731933400 8967931600 9349068693 9841124940 9954404076 10478320080 12137387426 12301406175 12443005095 12465424924 13097900100 13121499920 13272538768 13451897400 15581781155 16401874900 16590673460 17463866800 18206081139 18698137386 19682249880 19908808152 20738341825 24274774852 24602812350 24886010190 24930849848 26195800200 26903794800 30343468565 31163562310 32803749800 33181346920 36412162278 37396274772 39364499760 39817616304 41476683650 46745343465 48549549704 49205624700 49772020380 49861699696 52391600400 60686937130 62215025475 62327124620 65607499600 66362693840 72824324556 74792549544 77908905775 82953367300 91030405695 93490686930 97099099408 98411249400 99544040760 115305180547 121373874260 124430050950 124654249240 145648649112 149585099088 151717342825 155817811550 165906734600 182060811390 186981373860 196822498800 199088081520 230610361094 233726717325 242747748520 248860101900 249308498480 291297298224 303434685650 311635623100 331813469200 345915541641 364121622780 373962747720 455152028475 461220722188 467453434650 485495497040 497720203800 576525902735 606869371300 623271246200 691831083282 728243245560 747925495440 910304056950 922441444376 934906869300 995440407600 1153051805470 1213738742600 1246542492400 1383662166564 1456486491120 1729577708205 1820608113900 1844882888752 1869813738600 2306103610940 2427477485200 2767324333128 2882629513675 3459155416410 3641216227800 3739627477200 4612207221880 5534648666256 5765259027350 6918310832820 7282432455600 8647888541025 9224414443760 11530518054700 13836621665640 17295777082050 23061036109400 27673243331280 34591554164100 46122072218800 69183108328200 138366216656400
- Sum of all divisors σ(n): 482618615987200
- Sum of proper divisors (its aliquot sum) s(n): 344252399330800
- 138366216656400 is an abundant number, because the sum of its proper divisors (344252399330800) is greater than itself. Its abundance is 205886182674400
Bases of 138366216656400
- Binary: 111110111010111111001010011000101010110000100002
- Hexadecimal: 0x7DD7E5315610
- Base-36: 1D1OK8VY1C
Squares and roots of 138366216656400
- 138366216656400 squared (1383662166564002) is 19145209911805824795660960000
- 138366216656400 cubed (1383662166564003) is 2649050262589181489843923649999214144000000
-
The
square root of 138366216656400 is 11762917.0130712051 -
The
cube root of 138366216656400 is 51722.1642058249
Scales and comparisons
How big is 138366216656400?- 138,366,216,656,400 seconds is equal to 4,399,617 years, 36 weeks, 22 hours, 20 minutes.
-
To count from 1 to 138,366,216,656,400 would take you about ten million, nine hundred ninety-nine thousand and forty-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 138366216656400 cubic inches would be around 4310.2 feet tall.
Recreational maths with 138366216656400
- 138366216656400 backwards is 004656612663831
- 138366216656400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138366216656400's digits is 57
- More coming soon!
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The information we have on file for 138366216656400 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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