2137966968942
2,137,966,968,942 is an even composite number composed of seven prime numbers multiplied together.
2137966968942 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 2137966968942:
2 × 32 × 72 × 53 × 157 × 523 × 557
(2 × 3 × 3 × 7 × 7 × 53 × 157 × 523 × 557)See below for interesting mathematical facts about the number 2137966968942 from the Numbermatics database.
Names of 2137966968942
- Cardinal: 2137966968942 can be written as Two trillion, one hundred thirty-seven billion, nine hundred sixty-six million, nine hundred sixty-eight thousand, nine hundred forty-two.
Scientific notation
- Scientific notation: 2.137966968942 × 1012
Factors of 2137966968942
Divisors of 2137966968942
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 6 7 9 14 18 21 42 49 53 63 98 106 126 147 157 159 294 314 318 371 441 471 477 523 557 742 882 942 954 1046 1099 1113 1114 1413 1569 1671 2198 2226 2597 2826 3138 3297 3339 3342 3661 3899 4707 5013 5194 6594 6678 7322 7693 7791 7798 8321 9414 9891 10026 10983 11697 15386 15582 16642 19782 21966 23079 23373 23394 24963 25627 27293 27719 29521 32949 35091 46158 46746 49926 51254 54586 55438 58247 59042 65898 69237 70182 74889 76881 81879 82111 83157 87449 88563 116494 138474 149778 153762 163758 164222 166314 174741 174898 177126 194033 206647 230643 245637 246333 249471 262347 265689 291311 349482 388066 407729 413294 461286 491274 492666 498942 524223 524694 531378 574777 582099 582622 612143 619941 738999 787041 815458 873933 1048446 1149554 1164198 1223187 1224286 1239882 1358231 1446529 1477998 1574082 1724331 1746297 1747866 1836429 1859823 2039177 2446374 2621799 2716462 2893058 3448662 3492594 3669561 3672858 3719646 4023439 4074693 4078354 4285001 4339587 4351883 4634797 5172993 5243598 5509287 6117531 7339122 8046878 8149386 8570002 8679174 8703766 9269594 10345986 11018574 12070317 12224079 12235062 12855003 13018761 13055649 13904391 14274239 15439483 18352593 24140634 24448158 25710006 26037522 26111298 27808782 28548478 30463181 30878966 32443579 36210951 36705186 38565009 39166947 41713173 42822717 45735827 46318449 60926362 64887158 72421902 77130018 78333894 83426346 85645434 91389543 91471654 92636898 97330737 108076381 128468151 137207481 138955347 182779086 194661474 213242267 216152762 227105053 256936302 274168629 274414962 277910694 291992211 320150789 324229143 411622443 426484534 454210106 548337258 583984422 639726801 640301578 648458286 681315159 756534667 823244886 960452367 972687429 1279453602 1362630318 1513069334 1919180403 1920904734 1945374858 2043945477 2241055523 2269604001 2423998831 2881357101 3838360806 4087890954 4482111046 4539208002 4847997662 5762714202 6723166569 6808812003 7271996493 13446333138 13617624006 14543992986 16967991817 20169499707 21815989479 33935983634 40338999414 43631978958 50903975451 101807950902 118775942719 152711926353 237551885438 305423852706 356327828157 712655656314 1068983484471 2137966968942
- Sum of all divisors σ(n): 5545692633312
- Sum of proper divisors (its aliquot sum) s(n): 3407725664370
- 2137966968942 is an abundant number, because the sum of its proper divisors (3407725664370) is greater than itself. Its abundance is 1269758695428
Bases of 2137966968942
- Binary: 111110001110010001100001100000000011011102
- Hexadecimal: 0x1F1C8C3006E
- Base-36: RA62BZ3I
Squares and roots of 2137966968942
- 2137966968942 squared (21379669689422) is 4570902760287042792599364
- 2137966968942 cubed (21379669689423) is 9772439119739510089170309400436952888
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The
square root of 2137966968942 is 1462178.8430086109 -
The
cube root of 2137966968942 is 12882.5053174343
Scales and comparisons
How big is 2137966968942?- 2,137,966,968,942 seconds is equal to 67,980 years, 38 weeks, 2 days, 1 hour, 35 minutes, 42 seconds.
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To count from 1 to 2,137,966,968,942 would take you about one hundred sixty-nine thousand, nine hundred fifty-one 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 2137966968942 cubic inches would be around 1073.5 feet tall.
Recreational maths with 2137966968942
- 2137966968942 backwards is 2498696697312
- The number of decimal digits it has is: 13
- The sum of 2137966968942's digits is 72
- More coming soon!
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