137621978208

Names of 137621978208

• Cardinal: 137621978208 can be written as One hundred thirty-seven billion, six hundred twenty-one million, nine hundred seventy-eight thousand, two hundred eight.

Scientific notation

• Scientific notation: 1.37621978208 × 10¹¹

Factors of 137621978208

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 29

Divisors of 137621978208

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 66 72 78 81 88 96 99 104 108 117 132 143 144 156 162 169 176 198 208 216 234 264 286 288 297 312 324 338 351 352 396 416 429 432 468 507 528 572 594 624 648 676 702 792 858 864 891 936 1014 1053 1056 1144 1188 1248 1287 1296 1352 1404 1521 1584 1716 1782 1859 1872 2028 2106 2197 2288 2376 2574 2592 2704 2808 3042 3168 3432 3564 3718 3744 3861 4056 4212 4394 4563 4576 4752 5148 5408 5577 5616 6084 6591 6864 7128 7436 7722 8112 8424 8788 9126 9504 10296 11154 11232 11583 12168 13182 13689 13728 14256 14872 15444 16224 16731 16848 17576 18252 19773 20592 22308 23166 24167 24336 26364 27378 28512 28561 29744 30888 33462 33696 35152 36504 39546 41184 44616 46332 48334 48672 50193 52728 54756 57122 59319 59488 61776 66924 70304 72501 73008 79092 85683 89232 92664 96668 100386 105456 109512 114244 118638 123552 133848 145002 146016 150579 158184 171366 177957 178464 185328 193336 200772 210912 217503 219024 228488 237276 257049 267696 290004 301158 314171 316368 342732 355914 370656 371293 386672 401544 435006 438048 456976 474552 514098 535392 580008 602316 628342 632736 652509 685464 711828 742586 771147 773344 803088 870012 913952 942513 949104 1028196 1113879 1160016 1204632 1256684 1305018 1370928 1423656 1485172 1542294 1606176 1740024 1885026 1898208 1957527 2056392 2227758 2313441 2320032 2409264 2513368 2610036 2741856 2827539 2847312 2970344 3084588 3341637 3480048 3770052 3915054 4084223 4112784 4455516 4626882 4818528 4826809 5026736 5220072 5655078 5694624 5940688 6169176 6683274 6960096 7540104 7830108 8168446 8225568 8482617 8911032 9253764 9653618 10024911 10053472 10440144 11310156 11881376 12252669 12338352 13366548 14480427 15080208 15660216 16336892 16965234 17822064 18507528 19307236 20049822 20880288 22620312 24505338 24676704 25447851 26733096 28960854 30074733 30160416 31320432 32673784 33930468 35644128 36758007 37015056 38614472 40099644 43441281 45240624 49010676 50895702 53094899 53466192 57921708 60149466 62640864 65347568 67860936 73516014 74030112 77228944 80199288 86882562 90481248 98021352 101791404 106189798 106932384 110274021 115843416 120298932 130323843 130695136 135721872 147032028 154457888 159284697 160398576 173765124 196042704 203582808 212379596 220548042 231686832 240597864 260647686 271443744 294064056 318569394 320797152 330822063 347530248 390971529 392085408 407165616 424759192 441096084 463373664 477854091 481195728 521295372 588128112 637138788 661644126 695060496 781943058 814331232 849518384 882192168 955708182 962391456 1042590744 1176256224 1274277576 1323288252 1390120992 1433562273 1563886116 1699036768 1764384336 1911416364 2085181488 2548555152 2646576504 2867124546 3127772232 3528768672 3822832728 4170362976 4300686819 5097110304 5293153008 5734249092 6255544464 7645665456 8601373638 10586306016 11468498184 12511088928 15291330912 17202747276 22936996368 34405494552 45873992736 68810989104 137621978208
• Sum of all divisors σ(n): 478331937468
• Sum of proper divisors (its aliquot sum) s(n): 340709959260
• 137621978208 is an abundant number, because the sum of its proper divisors (340709959260) is greater than itself. Its abundance is 203087981052

Bases of 137621978208

• Binary: 10000000001010111010001011110001100000₂
• Hexadecimal: 0x200AE8BC60
• Base-36: 1R80KM00

Squares and roots of 137621978208

• 137621978208 squared (137621978208²) is 18939808885883226891264
• 137621978208 cubed (137621978208³) is 2606533965756706210062253793574912
• The square root of 137621978208 is 370974.3632759547
• The cube root of 137621978208 is 5162.9263768349
• Being both a perfect square and a perfect cube, 137621978208 is also a perfect sixth number.

Scales and comparisons

• 137,621,978,208 seconds is equal to 4,375 years, 49 weeks, 3 days, 23 hours, 16 minutes, 48 seconds.
• To count from 1 to 137,621,978,208 would take you about eight thousand, seven 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 137621978208 cubic inches would be around 430.2 feet tall.

Recreational maths with 137621978208

• 137621978208 backwards is 802879126731
• 137621978208 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137621978208's digits is 54
• More coming soon!