137975627776000

Names of 137975627776000

• Cardinal: 137975627776000 can be written as One hundred thirty-seven trillion, nine hundred seventy-five billion, six hundred twenty-seven million, seven hundred seventy-six thousand.

Scientific notation

• Scientific notation: 1.37975627776 × 10¹⁴

Factors of 137975627776000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 81

Divisors of 137975627776000

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 67 70 80 100 112 125 128 134 140 160 175 200 224 250 256 268 280 320 335 350 400 448 469 500 512 536 560 640 670 700 800 875 896 938 1000 1024 1072 1120 1280 1340 1400 1600 1675 1750 1792 1876 2000 2048 2144 2240 2345 2560 2680 2800 3200 3350 3500 3584 3752 4000 4096 4288 4480 4489 4690 5120 5360 5600 6400 6700 7000 7168 7504 8000 8192 8375 8576 8960 8978 9380 10240 10720 11200 11725 12800 13400 14000 14336 15008 16000 16384 16750 17152 17920 17956 18760 20480 21440 22400 22445 23450 25600 26800 28000 28672 30016 31423 32000 32768 33500 34304 35840 35912 37520 40960 42880 44800 44890 46900 51200 53600 56000 57344 58625 60032 62846 64000 65536 67000 68608 71680 71824 75040 81920 85760 89600 89780 93800 102400 107200 112000 112225 114688 117250 120064 125692 128000 131072 134000 137216 143360 143648 150080 157115 163840 171520 179200 179560 187600 204800 214400 224000 224450 229376 234500 240128 251384 256000 262144 268000 274432 286720 287296 300160 300763 314230 327680 343040 358400 359120 375200 409600 428800 448000 448900 458752 469000 480256 502768 512000 524288 536000 548864 561125 573440 574592 600320 601526 628460 655360 686080 716800 718240 750400 785575 819200 857600 896000 897800 917504 938000 960512 1005536 1024000 1072000 1097728 1122250 1146880 1149184 1200640 1203052 1256920 1310720 1372160 1433600 1436480 1500800 1503815 1571150 1638400 1715200 1792000 1795600 1835008 1876000 1921024 2011072 2048000 2105341 2144000 2195456 2244500 2293760 2298368 2401280 2406104 2513840 2621440 2744320 2867200 2872960 3001600 3007630 3142300 3276800 3430400 3584000 3591200 3670016 3752000 3842048 3927875 4022144 4096000 4210682 4288000 4390912 4489000 4587520 4596736 4802560 4812208 5027680 5488640 5734400 5745920 6003200 6015260 6284600 6553600 6860800 7168000 7182400 7504000 7519075 7684096 7855750 8044288 8192000 8421364 8576000 8781824 8978000 9175040 9193472 9605120 9624416 10055360 10526705 10977280 11468800 11491840 12006400 12030520 12569200 13107200 13721600 14336000 14364800 15008000 15038150 15368192 15711500 16088576 16384000 16842728 17152000 17563648 17956000 18350080 18386944 19210240 19248832 20110720 21053410 21954560 22937600 22983680 24012800 24061040 25138400 27443200 28672000 28729600 30016000 30076300 30736384 31423000 32177152 32768000 33685456 34304000 35127296 35912000 36773888 37595375 38420480 38497664 40221440 42106820 43909120 45875200 45967360 48025600 48122080 50276800 52633525 54886400 57344000 57459200 60032000 60152600 61472768 62846000 64354304 65536000 67370912 68608000 71824000 73547776 75190750 76840960 76995328 80442880 84213640 87818240 91750400 91934720 96051200 96244160 100553600 105267050 109772800 114688000 114918400 120064000 120305200 122945536 125692000 128708608 134741824 137216000 143648000 147095552 150381500 153681920 153990656 160885760 168427280 175636480 183869440 192102400 192488320 201107200 210534100 219545600 229376000 229836800 240128000 240610400 245891072 251384000 257417216 263167625 269483648 274432000 287296000 294191104 300763000 307363840 307981312 321771520 336854560 367738880 384204800 384976640 402214400 421068200 439091200 458752000 459673600 480256000 481220800 502768000 514834432 526335250 538967296 548864000 574592000 588382208 601526000 614727680 615962624 643543040 673709120 735477760 768409600 769953280 804428800 842136400 878182400 919347200 960512000 962441600 1005536000 1029668864 1052670500 1077934592 1097728000 1149184000 1176764416 1203052000 1229455360 1231925248 1287086080 1347418240 1470955520 1536819200 1539906560 1608857600 1684272800 1838694400 1921024000 1924883200 2011072000 2059337728 2105341000 2155869184 2195456000 2298368000 2353528832 2406104000 2463850496 2574172160 2694836480 2941911040 3073638400 3079813120 3217715200 3368545600 3677388800 3842048000 3849766400 4022144000 4118675456 4210682000 4311738368 4390912000 4596736000 4812208000 4927700992 5148344320 5389672960 5883822080 6147276800 6159626240 6435430400 6737091200 7354777600 7684096000 7699532800 8044288000 8237350912 8421364000 8623476736 9193472000 9624416000 9855401984 10296688640 10779345920 11767644160 12319252480 12870860800 13474182400 14709555200 15368192000 15399065600 16088576000 16474701824 16842728000 17246953472 18386944000 19248832000 19710803968 20593377280 21558691840 24638504960 25741721600 26948364800 29419110400 30736384000 30798131200 32177152000 33685456000 34493906944 36773888000 38497664000 39421607936 41186754560 43117383680 49277009920 51483443200 53896729600 58838220800 61596262400 64354304000 67370912000 68987813888 73547776000 76995328000 78843215872 82373509120 86234767360 98554019840 102966886400 107793459200 123192524800 128708608000 134741824000 137975627776 147095552000 153990656000 157686431744 172469534720 197108039680 205933772800 215586918400 246385049600 257417216000 269483648000 275951255552 294191104000 307981312000 344939069440 394216079360 411867545600 431173836800 492770099200 514834432000 538967296000 551902511104 615962624000 689878138880 788432158720 862347673600 985540198400 1029668864000 1077934592000 1103805022208 1231925248000 1379756277760 1724695347200 1971080396800 2059337728000 2155869184000 2463850496000 2759512555520 3449390694400 3942160793600 4311738368000 4927700992000 5519025111040 6898781388800 8623476736000 9855401984000 13797562777600 17246953472000 19710803968000 27595125555200 34493906944000 68987813888000 137975627776000
• Sum of all divisors σ(n): 399548346912000
• Sum of proper divisors (its aliquot sum) s(n): 261572719136000
• 137975627776000 is an abundant number, because the sum of its proper divisors (261572719136000) is greater than itself. Its abundance is 123597091360000

Bases of 137975627776000

• Binary: 11111010111110011110100010010000000000000000000₂
• Hexadecimal: 0x7D7CF4480000
• Base-36: 1CWP4MCP34

Squares and roots of 137975627776000

• 137975627776000 squared (137975627776000²) is 19037273860181302706176000000
• 137975627776000 cubed (137975627776000³) is 2626679812002150090062121272344576000000000
• The square root of 137975627776000 is 11746302.7279225185
• The cube root of 137975627776000 is 51673.4501439169

Scales and comparisons

• 137,975,627,776,000 seconds is equal to 4,387,198 years, 9 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
• To count from 1 to 137,975,627,776,000 would take you about ten million, nine hundred sixty-seven thousand, nine hundred ninety-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 137975627776000 cubic inches would be around 4306.1 feet tall.

Recreational maths with 137975627776000

• 137975627776000 backwards is 000677726579731
• 137975627776000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137975627776000's digits is 67
• More coming soon!