138459673728
138,459,673,728 is an even composite number composed of five prime numbers multiplied together.
What does the number 138459673728 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 384 divisors.
138459673728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138459673728:
27 × 35 × 31 × 37 × 3881
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 31 × 37 × 3881)See below for interesting mathematical facts about the number 138459673728 from the Numbermatics database.
Names of 138459673728
- Cardinal: 138459673728 can be written as One hundred thirty-eight billion, four hundred fifty-nine million, six hundred seventy-three thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38459673728 × 1011
Factors of 138459673728
Divisors of 138459673728
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 37 48 54 62 64 72 74 81 93 96 108 111 124 128 144 148 162 186 192 216 222 243 248 279 288 296 324 333 372 384 432 444 486 496 558 576 592 648 666 744 837 864 888 972 992 999 1116 1147 1152 1184 1296 1332 1488 1674 1728 1776 1944 1984 1998 2232 2294 2368 2511 2592 2664 2976 2997 3348 3441 3456 3552 3881 3888 3968 3996 4464 4588 4736 5022 5184 5328 5952 5994 6696 6882 7104 7533 7762 7776 7992 8928 8991 9176 10044 10323 10368 10656 11643 11904 11988 13392 13764 14208 15066 15524 15552 15984 17856 17982 18352 20088 20646 21312 23286 23976 26784 27528 30132 30969 31048 31104 31968 34929 35712 35964 36704 40176 41292 42624 46572 47952 53568 55056 60264 61938 62096 63936 69858 71928 73408 80352 82584 92907 93144 95904 104787 107136 110112 120311 120528 123876 124192 127872 139716 143597 143856 146816 160704 165168 185814 186288 191808 209574 220224 240622 241056 247752 248384 278721 279432 287194 287712 314361 321408 330336 360933 371628 372576 383616 419148 430791 440448 481244 482112 495504 496768 557442 558864 574388 575424 628722 660672 721866 743256 745152 838296 861582 943083 962488 964224 991008 1082799 1114884 1117728 1148776 1150848 1257444 1292373 1321344 1443732 1486512 1490304 1676592 1723164 1886166 1924976 1982016 2165598 2229768 2235456 2297552 2514888 2584746 2887464 2973024 3248397 3353184 3446328 3772332 3849952 3877119 3964032 4331196 4451507 4459536 4470912 4595104 5029776 5169492 5774928 5946048 6496794 6706368 6892656 7544664 7699904 7754238 8662392 8903014 8919072 9190208 9745191 10059552 10338984 11549856 11631357 11892096 12993588 13354521 13412736 13785312 15089328 15399808 15508476 17324784 17806028 17838144 18380416 19490382 20119104 20677968 23099712 23262714 25987176 26709042 27570624 29235573 30178656 31016952 34649568 34894071 35612056 35676288 38980764 40063563 40238208 41355936 46199424 46525428 51974352 53418084 55141248 58471146 60357312 62033904 69299136 69788142 71224112 77961528 80127126 82711872 93050856 103948704 106836168 116942292 120190689 120714624 124067808 138598272 139576284 142448224 155923056 160254252 165423744 186101712 207897408 213672336 233884584 240381378 248135616 279152568 284896448 311846112 320508504 360572067 372203424 415794816 427344672 467769168 480762756 496271232 558305136 569792896 623692224 641017008 721144134 744406848 854689344 935538336 961525512 1081716201 1116610272 1247384448 1282034016 1442288268 1488813696 1709378688 1871076672 1923051024 2163432402 2233220544 2564068032 2884576536 3742153344 3846102048 4326864804 4466441088 5128136064 5769153072 7692204096 8653729608 11538306144 15384408192 17307459216 23076612288 34614918432 46153224576 69229836864 138459673728
- Sum of all divisors σ(n): 438157923840
- Sum of proper divisors (its aliquot sum) s(n): 299698250112
- 138459673728 is an abundant number, because the sum of its proper divisors (299698250112) is greater than itself. Its abundance is 161238576384
Bases of 138459673728
- Binary: 100000001111001101011011110100100000002
- Hexadecimal: 0x203CD6F480
- Base-36: 1RLVBC00
Squares and roots of 138459673728
- 138459673728 squared (1384596737282) is 19171081248864213417984
- 138459673728 cubed (1384596737283) is 2654421654730717760429424327524352
-
The
square root of 138459673728 is 372101.6980987859 -
The
cube root of 138459673728 is 5173.3806532557
Scales and comparisons
How big is 138459673728?- 138,459,673,728 seconds is equal to 4,402 years, 30 weeks, 4 days, 12 hours, 28 minutes, 48 seconds.
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To count from 1 to 138,459,673,728 would take you about eight thousand, eight hundred 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 138459673728 cubic inches would be around 431.1 feet tall.
Recreational maths with 138459673728
- 138459673728 backwards is 827376954831
- The number of decimal digits it has is: 12
- The sum of 138459673728's digits is 63
- More coming soon!
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