137204243072678940

Names of 137204243072678940

• Cardinal: 137204243072678940 can be written as One hundred thirty-seven quadrillion, two hundred four trillion, two hundred forty-three billion, seventy-two million, six hundred seventy-eight thousand, nine hundred forty.

Scientific notation

• Scientific notation: 1.3720424307267894 × 10¹⁷

Factors of 137204243072678940

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 1823

Divisors of 137204243072678940

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 653 670 804 1005 1093 1306 1340 1959 2010 2186 2612 3265 3279 3918 4020 4372 4489 5465 6530 6558 7836 8978 9795 10930 13060 13116 13467 16395 17956 19590 21860 22445 26934 32790 39180 43751 44890 53868 65580 67335 73231 87502 89780 131253 134670 146462 175004 218755 219693 262506 269340 292924 366155 426409 437510 439386 525012 656265 713729 732310 852818 875020 878772 1098465 1194649 1279227 1312530 1427458 1464620 1705636 2132045 2141187 2196930 2389298 2558454 2625060 2854916 2931317 3568645 3583947 4264090 4282374 4393860 4778596 4906477 5116908 5862634 5973245 6396135 7137290 7167894 8528180 8564748 8793951 9812954 10705935 11725268 11946490 12792270 14274580 14335788 14656585 14719431 17587902 17919735 19625908 21411870 23892980 24532385 25584540 28569403 29313170 29438862 35175804 35839470 42823740 43969755 47819843 49064770 57138806 58626340 58877724 71678940 73597155 80041483 85708209 87939510 95639686 98129540 114277612 142847015 143459529 147194310 160082966 171416418 175879020 191279372 239099215 240124449 285694030 286919058 294388620 320165932 342832836 400207415 428541045 466065037 478198430 480248898 571388060 573838116 717297645 780105797 800414830 857082090 932130074 956396860 960497796 1200622245 1398195111 1434595290 1560211594 1600829660 1714164180 1864260148 1914150001 2330325185 2340317391 2401244490 2796390222 2869190580 3120423188 3203929481 3828300002 3900528985 4660650370 4680634782 4802488980 5362779361 5592780444 5742450003 6407858962 6990975555 7656600004 7801057970 9321300740 9361269564 9570750005 9611788443 10725558722 11484900006 11701586955 12815717924 13981951110 15602115940 16019647405 16088338083 19141500010 19223576886 21451117444 22969800012 23403173910 26813896805 27963902220 28712250015 31226357479 32039294810 32176676166 38283000020 38447153772 46806347820 48058942215 52267088399 53627793610 57424500030 62452714958 64078589620 64353352332 80441690415 93679072437 96117884430 104534176798 107255587220 114849000060 124905429916 156131787395 156801265197 160883380830 187358144874 192235768860 209068353596 261335441995 312263574790 313602530394 321766761660 374716289748 468395362185 509409085441 522670883990 624527149580 627205060788 784006325985 936790724370 1018818170882 1045341767980 1528227256323 1568012651970 1873581448740 2037636341764 2092165951093 2547045427205 3056454512646 3136025303940 3501894922733 4184331902186 5094090854410 6112909025292 6276497853279 7003789845466 7641136281615 8368663804372 10188181708820 10460829755465 10505684768199 12552995706558 14007579690932 15282272563230 17509474613665 20921659510930 21011369536398 25105991413116 30564545126460 31382489266395 34130408724547 35018949227330 41843319021860 42022739072796 52528423840995 62764978532790 68260817449094 70037898454660 102391226173641 105056847681990 125529957065580 136521634898188 170652043622735 204782452347282 210113695363980 341304087245470 409564904694564 511956130868205 682608174490940 1023912261736410 2047824523472820 2286737384544649 4573474769089298 6860212153633947 9146949538178596 11433686922723245 13720424307267894 22867373845446490 27440848614535788 34301060768169735 45734747690892980 68602121536339470 137204243072678940
• Sum of all divisors σ(n): 390947197272342984
• Sum of proper divisors (its aliquot sum) s(n): 253742954199664044
• 137204243072678940 is an abundant number, because the sum of its proper divisors (253742954199664044) is greater than itself. Its abundance is 116538711126985104

Bases of 137204243072678940

• Binary: 111100111011100101000100000111010000001011111110000011100₂
• Hexadecimal: 0x1E772883A05FC1C
• Base-36: 11IYUF48W8PO

Squares and roots of 137204243072678940

• 137204243072678940 squared (137204243072678940²) is 18825004317146766894767068319523600
• 137204243072678940 cubed (137204243072678940³) is 2582870468174035430959627112448279731005356552984000
• The square root of 137204243072678940 is 370410911.1145066417
• The cube root of 137204243072678940 is 515769.7266301511

Scales and comparisons

• 137,204,243,072,678,940 seconds is equal to 4,362,670,529 years, 6 weeks, 2 days, 10 hours, 49 minutes.
• To count from 1 to 137,204,243,072,678,940 would take you about thirteen billion, eighty-eight million, eleven thousand, five hundred eighty-seven 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 137204243072678940 cubic inches would be around 42980.8 feet tall.

Recreational maths with 137204243072678940

• 137204243072678940 backwards is 049876270342402731
• The number of decimal digits it has is: 18
• The sum of 137204243072678940's digits is 69
• More coming soon!