137310346992

Names of 137310346992

• Cardinal: 137310346992 can be written as One hundred thirty-seven billion, three hundred ten million, three hundred forty-six thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 1.37310346992 × 10¹¹

Factors of 137310346992

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 128

Divisors of 137310346992

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 31 38 39 42 48 52 53 56 57 62 76 78 84 91 93 104 106 112 114 124 133 152 156 159 168 182 186 208 212 217 228 247 248 266 273 304 312 318 336 361 364 371 372 399 403 424 434 456 494 496 532 546 589 624 636 651 689 722 728 741 742 744 798 806 848 868 912 988 1007 1064 1083 1092 1113 1178 1209 1272 1302 1378 1444 1456 1482 1484 1488 1596 1612 1643 1729 1736 1767 1976 2014 2067 2128 2166 2184 2226 2356 2418 2527 2544 2604 2756 2809 2821 2888 2964 2968 3021 3192 3224 3286 3458 3472 3534 3952 4028 4123 4134 4332 4368 4452 4693 4712 4823 4836 4929 5054 5187 5208 5512 5618 5642 5776 5928 5936 6042 6384 6448 6572 6916 7049 7068 7581 7657 8056 8246 8268 8427 8463 8664 8904 9386 9424 9646 9672 9858 10108 10374 10416 11024 11191 11236 11284 11501 11856 12084 12369 13091 13144 13832 14079 14098 14136 14469 15162 15314 16112 16492 16536 16854 16926 17328 17808 18772 19133 19292 19344 19663 19716 20216 20748 21147 21359 22382 22472 22568 22971 23002 24168 24738 26182 26288 27664 28158 28196 28272 28938 30324 30628 31217 32851 32984 33072 33573 33708 33852 34503 36517 37544 38266 38584 39273 39326 39432 40432 41496 42294 42718 44764 44944 45136 45942 46004 48336 49476 52364 53371 53599 56316 56392 57399 57876 58989 60648 61256 62434 64077 65702 65968 67146 67416 67704 69006 73034 75088 76532 77168 78337 78546 78652 78864 82992 84588 85436 87079 89528 91637 91884 92008 93651 98553 98952 104728 106742 107198 109551 112632 112784 114798 115752 117978 121296 122512 124868 128154 131404 133931 134292 134832 135408 138012 145483 146068 149513 153064 156674 157092 157304 160113 160797 169176 170872 174158 179056 183274 183768 184016 187302 197106 197904 209456 213484 214396 218519 219102 225264 229596 231504 235011 235956 248729 249736 255619 256308 261237 262808 267862 268584 274911 276024 290966 292136 299026 306128 313348 314184 314608 320226 321594 338352 341744 348316 366548 367536 373597 374604 394212 401793 405821 426968 428792 436449 437038 438204 448539 459192 470022 471912 497458 499472 511238 512616 522474 525616 535724 537168 549822 552048 581932 584272 593123 598052 609553 626696 628368 640452 643188 655557 693823 696632 733096 746187 747194 749208 766857 788424 803586 811642 853936 857584 872898 874076 876408 897078 918384 940044 943824 994916 1014049 1018381 1022476 1025232 1044948 1071448 1099644 1120791 1132027 1163864 1186246 1196104 1217463 1219106 1253392 1280904 1286376 1311114 1387646 1393264 1466192 1492374 1494388 1498416 1533714 1576848 1607172 1623284 1654501 1741103 1745796 1748152 1752816 1779369 1794156 1828659 1880088 1989832 2028098 2036762 2044952 2081469 2089896 2142896 2199288 2241582 2264054 2327728 2372492 2392208 2434926 2438212 2561808 2572752 2622228 2775292 2840747 2984748 2988776 3042147 3055143 3067428 3214344 3246568 3309002 3396081 3482206 3491592 3496304 3558738 3588312 3657318 3760176 3979664 4056196 4073524 4089904 4151861 4162938 4179792 4398576 4483164 4528108 4744984 4856761 4869852 4876424 4963503 5223309 5244456 5550584 5681494 5969496 5977552 6084294 6110286 6134856 6428688 6493136 6618004 6792162 6964412 6983184 7098343 7117476 7176624 7314636 7710599 7924189 8112392 8147048 8303722 8325876 8522241 8966328 9056216 9489968 9713522 9739704 9752848 9927006 10446618 10488912 11101168 11362988 11581507 11938992 12168588 12220572 12269712 12455583 13182637 13236008 13584324 13928824 14196686 14234952 14570283 14629272 15421198 15848378 16224784 16294096 16607444 16651752 17044482 17932656 18112432 19427044 19479408 19854012 20893236 21295029 21508513 22725976 23131797 23163014 23772567 24337176 24441144 24911166 26365274 26472016 27168648 27857648 28393372 28469904 29140566 29258544 30842396 31435519 31696756 33214888 33303504 34088964 34744521 38854088 39547911 39708024 41786472 42590058 43017026 45451952 46263594 46326028 47545134 48674352 48882288 49822332 52730548 53974193 54337296 56786744 58281132 61684792 62871038 63393512 64525539 66429776 68177928 69489042 77708176 79095822 79416048 83572944 85180116 86034052 92278459 92527188 92652056 94306557 95090268 99644664 105461096 107948386 113573488 116562264 123369584 125742076 126787024 129051078 136355856 138978084 150559591 158191644 161922579 170360232 172068104 184556918 185054376 185304112 188613114 190180536 199289328 210922192 215896772 220048633 233124528 251484152 258102156 276835377 277956168 301119182 316383288 323845158 340720464 344136208 369113836 370108752 377226228 380361072 408661747 431793544 440097266 451678773 502968304 516204312 553670754 555912336 602238364 632766576 647690316 660145899 738227672 754452456 817323494 863587088 880194532 903357546 1032408624 1107341508 1204476728 1225985241 1295380632 1320291798 1476455344 1508904912 1634646988 1760389064 1806715092 2214683016 2408953456 2451970482 2590761264 2640583596 2860632229 3269293976 3520778128 3613430184 4429366032 4903940964 5281167192 5721264458 6538587952 7226860368 8581896687 9807881928 10562334384 11442528916 17163793374 19615763856 22885057832 34327586748 45770115664 68655173496 137310346992
• Sum of all divisors σ(n): 484770306048
• Sum of proper divisors (its aliquot sum) s(n): 347459959056
• 137310346992 is an abundant number, because the sum of its proper divisors (347459959056) is greater than itself. Its abundance is 210149612064

Bases of 137310346992

• Binary: 1111111111000010101011001111011110000₂
• Hexadecimal: 0x1FF8559EF0
• Base-36: 1R2V19TC

Squares and roots of 137310346992

• 137310346992 squared (137310346992²) is 18854131391063443448064
• 137310346992 cubed (137310346992³) is 2588867323539681067740036770623488
• The square root of 137310346992 is 370554.1080490135
• The cube root of 137310346992 is 5159.0264547545

Scales and comparisons

• 137,310,346,992 seconds is equal to 4,366 years, 2 weeks, 2 days, 3 hours, 3 minutes, 12 seconds.
• To count from 1 to 137,310,346,992 would take you about eight thousand, seven hundred thirty-two 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 137310346992 cubic inches would be around 429.9 feet tall.

Recreational maths with 137310346992

• 137310346992 backwards is 299643013731
• 137310346992 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137310346992's digits is 48
• More coming soon!