137676438144

Names of 137676438144

• Cardinal: 137676438144 can be written as One hundred thirty-seven billion, six hundred seventy-six million, four hundred thirty-eight thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 1.37676438144 × 10¹¹

Factors of 137676438144

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 5493

Divisors of 137676438144

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 64 72 84 93 96 103 112 124 126 128 144 168 186 192 206 217 224 248 252 279 288 309 336 372 384 412 434 448 496 504 558 576 618 651 672 721 744 824 868 896 927 992 1008 1116 1152 1236 1302 1344 1442 1488 1648 1736 1854 1953 1984 2016 2163 2232 2472 2604 2688 2884 2976 3193 3296 3472 3708 3906 3968 4032 4326 4464 4944 5208 5347 5768 5952 6386 6489 6592 6944 7416 7812 8064 8652 8928 9579 9888 10416 10694 11536 11904 12772 12978 13184 13888 14832 15624 16041 17304 17856 19158 19776 20832 21388 22351 23072 25544 25956 27776 28737 29664 31248 32082 34608 35712 37429 38316 39552 41664 42776 44702 46144 48123 51088 51912 57474 59328 62496 64164 67053 69216 74858 76632 83328 85552 89404 92288 96246 102176 103824 112287 114948 118656 124992 128328 134106 138432 149716 153264 165757 171104 178808 192492 201159 204352 207648 224574 229896 249984 256656 268212 276864 299432 306528 331514 336861 342208 357616 384984 402318 408704 415296 449148 459792 497271 513312 536424 550741 598864 613056 663028 673722 684416 715232 769968 804636 830592 898296 919584 994542 1026624 1072848 1101482 1160299 1197728 1226112 1326056 1347444 1430464 1491813 1539936 1609272 1652223 1796592 1839168 1989084 2053248 2145696 2202964 2320598 2395456 2652112 2694888 2860928 2983626 3079872 3218544 3304446 3480897 3593184 3678336 3855187 3978168 4291392 4405928 4641196 4790912 4956669 5304224 5389776 5967252 6159744 6437088 6608892 6961794 7186368 7710374 7956336 8582784 8811856 9282392 9913338 10442691 10608448 10779552 11565561 11934504 12874176 13217784 13923588 14372736 15420748 15912672 17072971 17623712 18564784 19826676 20885382 21216896 21559104 23131122 23869008 25748352 26435568 27847176 30841496 31825344 34145942 34696683 35247424 37129568 39653352 41770764 43118208 46262244 47738016 51218913 52871136 55694352 61682992 63650688 68291884 69393366 70494848 74259136 79306704 83541528 92524488 95476032 102437826 105742272 111388704 119510797 123365984 136583768 138786732 148518272 153656739 158613408 167083056 185048976 190952064 204875652 211484544 222777408 239021594 246731968 273167536 277573464 307313478 317226816 334166112 358532391 370097952 409751304 445554816 478043188 493463936 546335072 555146928 614626956 634453632 668332224 717064782 740195904 819502608 956086376 1075597173 1092670144 1110293856 1229253912 1336664448 1434129564 1480391808 1639005216 1912172752 2151194346 2185340288 2220587712 2458507824 2868259128 3278010432 3824345504 4302388692 4441175424 4917015648 5736518256 6556020864 7648691008 8604777384 9834031296 11473036512 15297382016 17209554768 19668062592 22946073024 34419109536 45892146048 68838219072 137676438144
• Sum of all divisors σ(n): 472006778880
• Sum of proper divisors (its aliquot sum) s(n): 334330340736
• 137676438144 is an abundant number, because the sum of its proper divisors (334330340736) is greater than itself. Its abundance is 196653902592

Bases of 137676438144

• Binary: 10000000001110001001111011101010000000₂
• Hexadecimal: 0x200E27BA80
• Base-36: 1R8WZVK0

Squares and roots of 137676438144

• 137676438144 squared (137676438144²) is 18954801620018658164736
• 137676438144 cubed (137676438144³) is 2609629572770289782943156466089984
• The square root of 137676438144 is 371047.7572280959
• The cube root of 137676438144 is 5163.6073135165

Scales and comparisons

• 137,676,438,144 seconds is equal to 4,377 years, 35 weeks, 4 days, 7 hours, 2 minutes, 24 seconds.
• To count from 1 to 137,676,438,144 would take you about eight thousand, seven hundred fifty-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 137676438144 cubic inches would be around 430.3 feet tall.

Recreational maths with 137676438144

• 137676438144 backwards is 441834676731
• The number of decimal digits it has is: 12
• The sum of 137676438144's digits is 54
• More coming soon!