137999968128

Names of 137999968128

• Cardinal: 137999968128 can be written as One hundred thirty-seven billion, nine hundred ninety-nine million, nine hundred sixty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37999968128 × 10¹¹

Factors of 137999968128

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 5815

Divisors of 137999968128

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 64 66 68 72 88 96 99 102 113 128 132 136 144 153 176 187 192 198 204 226 264 272 288 306 339 352 374 384 396 408 452 528 544 561 576 612 678 704 748 792 816 904 1017 1056 1088 1122 1152 1224 1243 1356 1408 1496 1584 1632 1683 1808 1921 2034 2112 2176 2244 2448 2486 2712 2992 3168 3264 3366 3616 3729 3842 4068 4224 4488 4896 4972 5424 5669 5763 5984 6336 6528 6732 7232 7458 7684 8136 8976 9792 9944 10848 11187 11338 11526 11968 12672 13464 14464 14916 15368 16272 17007 17289 17952 19584 19888 21131 21696 22374 22676 23052 23936 26928 29832 30736 32544 34014 34578 35904 39776 42262 43392 44748 45352 46104 51021 53856 59664 61472 62359 63393 65088 68028 69156 71808 79552 84524 89496 90704 92208 96373 102042 107712 119328 122944 124718 126786 130176 136056 138312 159104 169048 178992 181408 184416 187077 190179 192746 204084 215424 238656 245888 249436 253572 272112 276624 289119 338096 357984 362816 368832 374154 380358 385492 408168 477312 498872 507144 544224 553248 561231 578238 640597 676192 715968 725632 737664 748308 760716 770984 816336 867357 997744 1014288 1060103 1088448 1106496 1122462 1156476 1281194 1352384 1431936 1496616 1521432 1541968 1632672 1734714 1921791 1995488 2028576 2120206 2176896 2212992 2244924 2312952 2562388 2704768 2993232 3042864 3083936 3180309 3265344 3469428 3843582 3990976 4057152 4240412 4489848 4625904 5124776 5765373 5986464 6085728 6167872 6360618 6530688 6938856 7046567 7687164 7981952 8114304 8480824 8979696 9251808 9540927 10249552 10890149 11530746 11972928 12171456 12335744 12721236 13877712 14093134 15374328 16961648 17959392 18503616 19081854 20499104 21139701 21780298 23061492 23945856 24342912 25442472 27755424 28186268 30748656 32670447 33923296 35918784 37007232 38163708 40998208 42279402 43560596 46122984 50884944 55510848 56372536 61497312 63419103 65340894 67846592 71837568 76327416 81996416 84558804 87121192 92245968 98011341 101769888 111021696 112745072 119791639 122994624 126838206 130681788 135693184 152654832 169117608 174242384 184491936 196022682 203539776 225490144 239583278 245989248 253676412 261363576 305309664 338235216 348484768 359374917 368983872 392045364 407079552 450980288 479166556 507352824 522727152 610619328 676470432 696969536 718749834 737967744 784090728 901960576 958333112 1014705648 1045454304 1078124751 1221238656 1352940864 1393939072 1437499668 1568181456 1916666224 2029411296 2090908608 2156249502 2705881728 2874999336 3136362912 3833332448 4058822592 4181817216 4312499004 5749998672 6272725824 7666664896 8117645184 8624998008 11499997344 12545451648 15333329792 17249996016 22999994688 34499992032 45999989376 68999984064 137999968128
• Sum of all divisors σ(n): 462833935200
• Sum of proper divisors (its aliquot sum) s(n): 324833967072
• 137999968128 is an abundant number, because the sum of its proper divisors (324833967072) is greater than itself. Its abundance is 186833998944

Bases of 137999968128

• Binary: 10000000100001011100000110011110000000₂
• Hexadecimal: 0x2021706780
• Base-36: 1RE9M8W0

Squares and roots of 137999968128

• 137999968128 squared (137999968128²) is 19043991203329015824384
• 137999968128 cubed (137999968128³) is 2628070179089316551262599645233152
• The square root of 137999968128 is 371483.4695218619
• The cube root of 137999968128 is 5167.6488545293

Scales and comparisons

• 137,999,968,128 seconds is equal to 4,387 years, 50 weeks, 3 days, 20 hours, 28 minutes, 48 seconds.
• To count from 1 to 137,999,968,128 would take you about eight thousand, seven hundred seventy-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 137999968128 cubic inches would be around 430.6 feet tall.

Recreational maths with 137999968128

• 137999968128 backwards is 821869999731
• 137999968128 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137999968128's digits is 72
• More coming soon!