137973536064

Names of 137973536064

• Cardinal: 137973536064 can be written as One hundred thirty-seven billion, nine hundred seventy-three million, five hundred thirty-six thousand and sixty-four.

Scientific notation

• Scientific notation: 1.37973536064 × 10¹¹

Factors of 137973536064

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 10701

Divisors of 137973536064

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 28 32 36 38 39 42 48 52 56 57 63 64 72 76 78 84 91 96 104 112 114 117 126 133 144 152 156 168 169 171 182 192 208 224 228 234 247 252 266 273 288 304 312 336 338 342 364 399 416 448 456 468 494 504 507 532 546 576 608 624 672 676 684 728 741 798 819 832 912 936 988 1008 1014 1064 1092 1183 1197 1216 1248 1344 1352 1368 1456 1482 1521 1596 1638 1729 1824 1872 1976 2016 2028 2128 2184 2223 2366 2394 2496 2704 2736 2912 2964 3042 3192 3211 3276 3458 3549 3648 3744 3952 4032 4056 4256 4368 4446 4732 4788 5187 5408 5472 5824 5928 6084 6384 6422 6552 6916 7098 7488 7904 8112 8512 8736 8892 9464 9576 9633 10374 10647 10657 10816 10944 11856 12168 12768 12844 13104 13832 14196 15561 15808 16224 17472 17784 18928 19152 19266 20748 21294 21314 22477 23712 24336 25536 25688 26208 27664 28392 28899 31122 31971 32448 35568 37856 38304 38532 41496 42588 42628 44954 47424 48672 51376 52416 55328 56784 57798 62244 63942 67431 71136 74599 75712 76608 77064 82992 85176 85256 89908 95913 97344 102752 110656 113568 115596 124488 127884 134862 138541 142272 149198 154128 165984 170352 170512 179816 191826 202293 202483 205504 223797 227136 231192 248976 255768 269724 277082 298396 308256 331968 340704 341024 359632 383652 404586 404966 415623 447594 462384 497952 511536 539448 554164 596792 607449 616512 671391 681408 682048 719264 767304 809172 809932 831246 895188 924768 969787 995904 1023072 1078896 1108328 1193584 1214898 1246869 1342782 1417381 1438528 1534608 1618344 1619864 1662492 1790376 1801033 1822347 1849536 1939574 2046144 2157792 2216656 2387168 2429796 2493738 2632279 2685564 2834762 2909361 3069216 3236688 3239728 3324984 3580752 3602066 3644694 3879148 4252143 4315584 4433312 4774336 4859592 4987476 5264558 5371128 5403099 5669524 5818722 6138432 6473376 6479456 6649968 7161504 7204132 7289388 7758296 7896837 8504286 8728083 8866624 9719184 9974952 10529116 10742256 10806198 11339048 11637444 12607231 12756429 12946752 12958912 13299936 14323008 14408264 14578776 15516592 15793674 16209297 17008572 17456166 18425953 19438368 19949904 21058232 21484512 21612396 22678096 23274888 23690511 25214462 25512858 26599872 28816528 29157552 31033184 31587348 32418594 34017144 34219627 34912332 36851906 37821693 38876736 39899808 42116464 42969024 43224792 45356192 46549776 47381022 50428924 51025716 55277859 57633056 58315104 62066368 63174696 64837188 68034288 68439254 69824664 73703812 75643386 79799616 84232928 86449584 90712384 93099552 94762044 100857848 102051432 102658881 110555718 113465079 115266112 116630208 126349392 129674376 136068576 136878508 139649328 147407624 151286772 165833577 168465856 172899168 186199104 189524088 201715696 204102864 205317762 221111436 226930158 239537389 252698784 259348752 272137152 273757016 279298656 294815248 302573544 307976643 331667154 345798336 379048176 403431392 408205728 410635524 442222872 453860316 479074778 505397568 518697504 547514032 558597312 589630496 605147088 615953286 663334308 718612167 758096352 806862784 816411456 821271048 884445744 907720632 958149556 1037395008 1095028064 1179260992 1210294176 1231906572 1326668616 1437224334 1516192704 1642542096 1768891488 1815441264 1916299112 2155836501 2190056128 2420588352 2463813144 2653337232 2874448668 3285084192 3537782976 3630882528 3832598224 4311673002 4927626288 5306674464 5748897336 6570168384 7261765056 7665196448 8623346004 9855252576 10613348928 11497794672 15330392896 17246692008 19710505152 22995589344 34493384016 45991178688 68986768032 137973536064
• Sum of all divisors σ(n): 515221362240
• Sum of proper divisors (its aliquot sum) s(n): 377247826176
• 137973536064 is an abundant number, because the sum of its proper divisors (377247826176) is greater than itself. Its abundance is 239274290112

Bases of 137973536064

• Binary: 10000000011111110111010001010101000000₂
• Hexadecimal: 0x201FDD1540
• Base-36: 1RDTVPS0

Squares and roots of 137973536064

• 137973536064 squared (137973536064²) is 19036696654003908612096
• 137973536064 cubed (137973536064³) is 2626560352330636414887987642630144
• The square root of 137973536064 is 371447.8914518159
• The cube root of 137973536064 is 5167.3189019245

Scales and comparisons

• 137,973,536,064 seconds is equal to 4,387 years, 6 weeks, 5 days, 22 hours, 14 minutes, 24 seconds.
• To count from 1 to 137,973,536,064 would take you about eight thousand, seven hundred seventy-four 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 137973536064 cubic inches would be around 430.6 feet tall.

Recreational maths with 137973536064

• 137973536064 backwards is 460635379731
• The number of decimal digits it has is: 12
• The sum of 137973536064's digits is 54
• More coming soon!