137931040000000

Names of 137931040000000

• Cardinal: 137931040000000 can be written as One hundred thirty-seven trillion, nine hundred thirty-one billion, forty million.

Scientific notation

• Scientific notation: 1.3793104 × 10¹⁴

Factors of 137931040000000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 5121

Divisors of 137931040000000

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 169 200 208 250 256 260 320 325 338 400 416 500 512 520 625 640 650 676 800 832 845 1000 1024 1040 1250 1280 1300 1352 1600 1625 1664 1690 2000 2048 2080 2500 2560 2600 2704 3125 3200 3250 3328 3380 4000 4160 4225 5000 5101 5120 5200 5408 6250 6400 6500 6656 6760 8000 8125 8320 8450 10000 10202 10240 10400 10816 12500 12800 13000 13312 13520 15625 16000 16250 16640 16900 20000 20404 20800 21125 21632 25000 25505 25600 26000 26624 27040 31250 32000 32500 33280 33800 40000 40625 40808 41600 42250 43264 50000 51010 51200 52000 54080 62500 64000 65000 66313 66560 67600 78125 80000 81250 81616 83200 84500 86528 100000 102020 104000 105625 108160 125000 127525 128000 130000 132626 133120 135200 156250 160000 162500 163232 166400 169000 173056 200000 203125 204040 208000 211250 216320 250000 255050 256000 260000 265252 270400 312500 320000 325000 326464 331565 332800 338000 346112 400000 406250 408080 416000 422500 432640 500000 510100 520000 528125 530504 540800 625000 637625 640000 650000 652928 663130 665600 676000 800000 812500 816160 832000 845000 862069 865280 1000000 1015625 1020200 1040000 1056250 1061008 1081600 1250000 1275250 1280000 1300000 1305856 1326260 1352000 1600000 1625000 1632320 1657825 1664000 1690000 1724138 1730560 2000000 2031250 2040400 2080000 2112500 2122016 2163200 2500000 2550500 2600000 2611712 2640625 2652520 2704000 3188125 3200000 3250000 3264640 3315650 3328000 3380000 3448276 4000000 4062500 4080800 4160000 4225000 4244032 4310345 4326400 5000000 5101000 5200000 5223424 5281250 5305040 5408000 6376250 6400000 6500000 6529280 6631300 6760000 6896552 8000000 8125000 8161600 8289125 8320000 8450000 8488064 8620690 8652800 10000000 10202000 10400000 10446848 10562500 10610080 10816000 12752500 13000000 13058560 13203125 13262600 13520000 13793104 15940625 16000000 16250000 16323200 16578250 16640000 16900000 16976128 17241380 20000000 20404000 20800000 21125000 21220160 21551725 21632000 25505000 26000000 26117120 26406250 26525200 27040000 27586208 31881250 32000000 32500000 32646400 33156500 33800000 33952256 34482760 40000000 40808000 41445625 41600000 42250000 42440320 43103450 43264000 51010000 52000000 52234240 52812500 53050400 54080000 55172416 63762500 65000000 65292800 66313000 67600000 67904512 68965520 79703125 80000000 81616000 82891250 83200000 84500000 84880640 86206900 102020000 104000000 105625000 106100800 107758625 108160000 110344832 127525000 130000000 130585600 132626000 135200000 135809024 137931040 159406250 160000000 163232000 165782500 169000000 169761280 172413800 204040000 207228125 208000000 211250000 212201600 215517250 216320000 220689664 255050000 260000000 261171200 265252000 270400000 275862080 318812500 326464000 331565000 338000000 339522560 344827600 398515625 408080000 414456250 416000000 422500000 424403200 431034500 441379328 510100000 520000000 530504000 538793125 540800000 551724160 637625000 652928000 663130000 676000000 679045120 689655200 797031250 816160000 828912500 845000000 848806400 862069000 882758656 1020200000 1036140625 1040000000 1061008000 1077586250 1081600000 1103448320 1275250000 1305856000 1326260000 1352000000 1379310400 1594062500 1632320000 1657825000 1690000000 1697612800 1724138000 1765517312 2040400000 2072281250 2080000000 2122016000 2155172500 2206896640 2550500000 2652520000 2693965625 2704000000 2758620800 3188125000 3264640000 3315650000 3380000000 3395225600 3448276000 4080800000 4144562500 4244032000 4310345000 4413793280 5101000000 5180703125 5305040000 5387931250 5408000000 5517241600 6376250000 6529280000 6631300000 6760000000 6896552000 8161600000 8289125000 8488064000 8620690000 8827586560 10202000000 10361406250 10610080000 10775862500 11034483200 12752500000 13262600000 13469828125 13520000000 13793104000 16323200000 16578250000 16976128000 17241380000 20404000000 20722812500 21220160000 21551725000 22068966400 25505000000 26525200000 26939656250 27040000000 27586208000 32646400000 33156500000 34482760000 40808000000 41445625000 42440320000 43103450000 44137932800 51010000000 53050400000 53879312500 55172416000 66313000000 67349140625 68965520000 81616000000 82891250000 84880640000 86206900000 102020000000 106100800000 107758625000 110344832000 132626000000 134698281250 137931040000 163232000000 165782500000 172413800000 204040000000 212201600000 215517250000 220689664000 265252000000 269396562500 275862080000 331565000000 344827600000 408080000000 424403200000 431034500000 530504000000 538793125000 551724160000 663130000000 689655200000 816160000000 862069000000 1061008000000 1077586250000 1103448320000 1326260000000 1379310400000 1724138000000 2122016000000 2155172500000 2652520000000 2758620800000 3448276000000 4310345000000 5305040000000 5517241600000 6896552000000 8620690000000 10610080000000 13793104000000 17241380000000 27586208000000 34482760000000 68965520000000 137931040000000
• Sum of all divisors σ(n): 373374265839120
• Sum of proper divisors (its aliquot sum) s(n): 235443225839120
• 137931040000000 is an abundant number, because the sum of its proper divisors (235443225839120) is greater than itself. Its abundance is 97512185839120

Bases of 137931040000000

• Binary: 11111010111001010010010101001001000100000000000₂
• Hexadecimal: 0x7D7292A48800
• Base-36: 1CW4N7XWXS

Squares and roots of 137931040000000

• 137931040000000 squared (137931040000000²) is 19024971795481600000000000000
• 137931040000000 cubed (137931040000000³) is 2624134145721444388864000000000000000000000
• The square root of 137931040000000 is 11744404.6251821551
• The cube root of 137931040000000 is 51667.8833335877

Scales and comparisons

• 137,931,040,000,000 seconds is equal to 4,385,780 years, 22 weeks, 1 hour, 46 minutes, 40 seconds.
• To count from 1 to 137,931,040,000,000 would take you about ten million, nine hundred sixty-four thousand, four 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 137931040000000 cubic inches would be around 4305.7 feet tall.

Recreational maths with 137931040000000

• 137931040000000 backwards is 000000040139731
• The number of decimal digits it has is: 15
• The sum of 137931040000000's digits is 28
• More coming soon!