137405734272
137,405,734,272 is an even composite number composed of six prime numbers multiplied together.
What does the number 137405734272 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
137405734272 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 137405734272:
27 × 32 × 29 × 53 × 71 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 29 × 53 × 71 × 1093)See below for interesting mathematical facts about the number 137405734272 from the Numbermatics database.
Names of 137405734272
- Cardinal: 137405734272 can be written as One hundred thirty-seven billion, four hundred five million, seven hundred thirty-four thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 1.37405734272 × 1011
Factors of 137405734272
Divisors of 137405734272
- 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 29 32 36 48 53 58 64 71 72 87 96 106 116 128 142 144 159 174 192 212 213 232 261 284 288 318 348 384 424 426 464 477 522 568 576 636 639 696 848 852 928 954 1044 1093 1136 1152 1272 1278 1392 1537 1696 1704 1856 1908 2059 2088 2186 2272 2544 2556 2784 3074 3279 3392 3408 3712 3763 3816 4118 4176 4372 4544 4611 5088 5112 5568 6148 6177 6558 6784 6816 7526 7632 8236 8352 8744 9088 9222 9837 10176 10224 11136 11289 12296 12354 13116 13632 13833 15052 15264 16472 16704 17488 18444 18531 19674 20352 20448 22578 24592 24708 26232 27264 27666 30104 30528 31697 32944 33408 33867 34976 36888 37062 39348 40896 45156 49184 49416 52464 55332 57929 60208 61056 63394 65888 67734 69952 73776 74124 77603 78696 81792 90312 95091 98368 98832 104928 109127 110664 115858 120416 126788 131776 135468 139904 147552 148248 155206 157392 173787 180624 190182 196736 197664 209856 218254 221328 231716 232809 240832 253576 263552 270936 285273 295104 296496 310412 314784 327381 347574 361248 380364 395328 419712 436508 442656 463432 465618 481664 507152 521361 541872 570546 590208 592992 620824 629568 654762 695148 698427 722496 760728 790656 873016 885312 926864 931236 982143 1014304 1042722 1083744 1141092 1185984 1241648 1259136 1309524 1390296 1396854 1444992 1521456 1679941 1746032 1770624 1853728 1862472 1964286 2028608 2085444 2167488 2250487 2282184 2371968 2483296 2619048 2780592 2793708 3042912 3359882 3492064 3707456 3724944 3928572 4057216 4112959 4170888 4334976 4500974 4564368 4966592 5039823 5238096 5561184 5587416 6085824 6719764 6751461 6984128 7414912 7449888 7857144 8225918 8341776 9001948 9128736 9933184 10079646 10476192 11122368 11174832 12171648 12338877 13439528 13502922 13968256 14899776 15119469 15714288 16451836 16683552 18003896 18257472 20159292 20254383 20952384 22244736 22349664 24677754 26879056 27005844 29799552 30238938 31428576 32903672 33367104 36007792 36514944 37016631 40318584 40508766 41904768 44699328 49355508 53758112 54011688 60477876 62857152 65807344 66734208 72015584 74033262 80637168 81017532 89398656 98711016 107516224 108023376 119275811 120955752 125714304 131614688 144031168 148066524 161274336 162035064 197422032 215032448 216046752 238551622 241911504 263229376 288062336 296133048 322548672 324070128 357827433 394844064 432093504 477103244 483823008 526458752 592266096 645097344 648140256 715654866 789688128 864187008 954206488 967646016 1073482299 1184532192 1296280512 1431309732 1579376256 1908412976 1935292032 2146964598 2369064384 2592561024 2862619464 3816825952 4293929196 4738128768 5725238928 7633651904 8587858392 11450477856 15267303808 17175716784 22900955712 34351433568 45801911424 68702867136 137405734272
- Sum of all divisors σ(n): 423007790400
- Sum of proper divisors (its aliquot sum) s(n): 285602056128
- 137405734272 is an abundant number, because the sum of its proper divisors (285602056128) is greater than itself. Its abundance is 148196321856
Bases of 137405734272
- Binary: 11111111111100000010100011101100000002
- Hexadecimal: 0x1FFE051D80
- Base-36: 1R4FTR40
Squares and roots of 137405734272
- 137405734272 squared (1374057342722) is 18880335810827475369984
- 137405734272 cubed (1374057342723) is 2594266405388685741124646388891648
-
The
square root of 137405734272 is 370682.7946803035 -
The
cube root of 137405734272 is 5160.2208090113
Scales and comparisons
How big is 137405734272?- 137,405,734,272 seconds is equal to 4,369 years, 4 weeks, 3 hours, 31 minutes, 12 seconds.
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To count from 1 to 137,405,734,272 would take you about eight thousand, seven hundred thirty-eight 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 137405734272 cubic inches would be around 430 feet tall.
Recreational maths with 137405734272
- 137405734272 backwards is 272437504731
- The number of decimal digits it has is: 12
- The sum of 137405734272's digits is 45
- More coming soon!
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