138903649006720
138,903,649,006,720 is an even composite number composed of six prime numbers multiplied together.
138903649006720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138903649006720:
27 × 5 × 132 × 83 × 1889 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 83 × 1889 × 8191)See below for interesting mathematical facts about the number 138903649006720 from the Numbermatics database.
Names of 138903649006720
- Cardinal: 138903649006720 can be written as One hundred thirty-eight trillion, nine hundred three billion, six hundred forty-nine million, six thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3890364900672 × 1014
Factors of 138903649006720
Divisors of 138903649006720
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 83 104 128 130 160 166 169 208 260 320 332 338 415 416 520 640 664 676 830 832 845 1040 1079 1328 1352 1660 1664 1690 1889 2080 2158 2656 2704 3320 3380 3778 4160 4316 5312 5395 5408 6640 6760 7556 8191 8320 8632 9445 10624 10790 10816 13280 13520 14027 15112 16382 17264 18890 21580 21632 24557 26560 27040 28054 30224 32764 34528 37780 40955 43160 49114 53120 54080 56108 60448 65528 69056 70135 75560 81910 86320 98228 106483 108160 112216 120896 122785 131056 138112 140270 151120 156787 163820 172640 196456 212966 224432 241792 245570 262112 280540 302240 313574 319241 327640 345280 392912 425932 448864 491140 524224 532415 561080 604480 627148 638482 655280 679853 690560 783935 785824 851864 897728 982280 1048448 1064830 1122160 1208960 1254296 1276964 1310560 1359706 1384279 1567870 1571648 1596205 1703728 1795456 1964560 2038231 2129660 2244320 2508592 2553928 2621120 2719412 2768558 3135740 3143296 3192410 3399265 3407456 3929120 4076462 4259320 4488640 5017184 5107856 5242240 5438824 5537116 6271480 6384820 6798530 6814912 6921395 7858240 8152924 8518640 8838089 8977280 10034368 10191155 10215712 10877648 11074232 12542960 12769640 13597060 13629824 13842790 15472799 15716480 16305848 17037280 17676178 20068736 20382310 20431424 21755296 22148464 25085920 25539280 26497003 27194120 27685580 30945598 32611696 34074560 35352356 40764620 40862848 43510592 44190445 44296928 50171840 51078560 52994006 54388240 55371160 61891196 65223392 68149120 70704712 77363995 81529240 87021184 88380890 88593856 100343680 102157120 105988012 108776480 110742320 114895157 123782392 130446784 132485015 141409424 154727990 163058480 176761780 177187712 201146387 204314240 211976024 217552960 221484640 229790314 247564784 260893568 264970030 282818848 309455980 326116960 353523560 402292774 423952048 435105920 442969280 459580628 495129568 529940060 565637696 574475785 618911960 652233920 707047120 804585548 847904096 885938560 919161256 990259136 1005731935 1059880120 1131275392 1148951570 1237823920 1284242317 1304467840 1414094240 1609171096 1695808192 1838322512 1980518272 2011463870 2119760240 2297903140 2475647840 2568484634 2614903031 2828188480 3218342192 3391616384 3676645024 4022927740 4239520480 4595806280 4951295680 5136969268 5229806062 5656376960 6421211585 6436684384 7353290048 8045855480 8479040960 9191612560 9902591360 10273938536 10459612124 12842423170 12873368768 13074515155 14706580096 16091710960 16695150121 16958081920 18383225120 20547877072 20919224248 25684846340 25746737536 26149030310 32183421920 33390300242 36766450240 41095754144 41838448496 51369692680 52298060620 64366843840 66780600484 73532900480 82191508288 83475750605 83676896992 102739385360 104596121240 128733687680 133561200968 164383016576 166951501210 167353793984 205478770720 209192242480 217036951573 267122401936 333903002420 334707587968 410957541440 418384484960 434073903146 534244803872 667806004840 821915082880 836768969920 868147806292 1068489607744 1085184757865 1335612009680 1673537939840 1736295612584 2136979215488 2170369515730 2671224019360 3472591225168 4340739031460 5342448038720 6945182450336 8681478062920 10684896077440 13890364900672 17362956125840 27780729801344 34725912251680 69451824503360 138903649006720
- Sum of all divisors σ(n): 364144331980800
- Sum of proper divisors (its aliquot sum) s(n): 225240682974080
- 138903649006720 is an abundant number, because the sum of its proper divisors (225240682974080) is greater than itself. Its abundance is 86337033967360
Bases of 138903649006720
- Binary: 111111001010101000001101010100000110100100000002
- Hexadecimal: 0x7E5506A83480
- Base-36: 1D8JGE8DJ4
Squares and roots of 138903649006720
- 138903649006720 squared (1389036490067202) is 19294223707382066042605158400
- 138903649006720 cubed (1389036490067203) is 2680038077707334393790453451789308264448000
-
The
square root of 138903649006720 is 11785739.2219037325 -
The
cube root of 138903649006720 is 51789.0428922981
Scales and comparisons
How big is 138903649006720?- 138,903,649,006,720 seconds is equal to 4,416,706 years, 19 weeks, 5 days, 18 hours, 18 minutes, 40 seconds.
-
To count from 1 to 138,903,649,006,720 would take you about eleven million, forty-one thousand, seven hundred sixty-five 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 138903649006720 cubic inches would be around 4315.8 feet tall.
Recreational maths with 138903649006720
- 138903649006720 backwards is 027600946309831
- The number of decimal digits it has is: 15
- The sum of 138903649006720's digits is 58
- More coming soon!
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