137301684328640

Names of 137301684328640

• Cardinal: 137301684328640 can be written as One hundred thirty-seven trillion, three hundred one billion, six hundred eighty-four million, three hundred twenty-eight thousand, six hundred forty.

Scientific notation

• Scientific notation: 1.3730168432864 × 10¹⁴

Factors of 137301684328640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 5884501

Divisors of 137301684328640

• Number of divisors d(n): 224
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 71 79 80 104 130 142 158 160 208 260 284 316 320 355 395 416 520 568 632 710 790 832 923 1027 1040 1136 1264 1420 1580 1846 2054 2080 2272 2528 2840 3160 3692 4108 4160 4544 4615 5056 5135 5609 5680 6320 7384 8216 9230 10270 11218 11360 12640 14768 16432 18460 20540 22436 22720 25280 28045 29536 32864 36920 41080 44872 56090 59072 65728 72917 73840 82160 89744 112180 145834 147680 164320 179488 224360 291668 295360 328640 358976 364585 448720 583336 729170 897440 1166672 1458340 1794880 2333344 2916680 4666688 5833360 5884331 11666720 11768662 23333440 23537324 29421655 47074648 58843310 76496303 94149296 117686620 152992606 188298592 235373240 305985212 376597184 382481515 417787501 464862149 470746480 611970424 764963030 835575002 929724298 941492960 1223940848 1529926060 1671150004 1859448596 1882985920 2088937505 2324310745 2447881696 3059852120 3342300008 3718897192 4177875010 4648621490 4895763392 5431237513 6043207937 6119704240 6684600016 7437794384 8355750020 9297242980 10862475026 12086415874 12239408480 13369200032 14875588768 16711500040 18594485960 21724950052 24172831748 24478816960 26738400064 27156187565 29751177536 30216039685 33005212579 33423000080 37188971920 43449900104 48345663496 54312375130 60432079370 66010425158 66846000160 74377943840 86899800208 96691326992 108624750260 120864158740 132020850316 133692000320 148755887680 165026062895 173799600416 193382653984 217249500520 241728317480 264041700632 330052125790 347599200832 386765307968 429067763527 434499001040 483456634960 528083401264 660104251580 858135527054 868998002080 966913269920 1056166802528 1320208503160 1716271054108 1737996004160 1933826539840 2112333605056 2145338817635 2640417006320 3432542108216 4290677635270 5280834012640 6865084216432 8581355270540 10561668025280 13730168432864 17162710541080 27460336865728 34325421082160 68650842164320 137301684328640
• Sum of all divisors σ(n): 361578549749760
• Sum of proper divisors (its aliquot sum) s(n): 224276865421120
• 137301684328640 is an abundant number, because the sum of its proper divisors (224276865421120) is greater than itself. Its abundance is 86975181092480

Bases of 137301684328640

• Binary: 11111001110000000001010000111110001100011000000₂
• Hexadecimal: 0x7CE00A1F18C0
• Base-36: 1CO3ITTOZK

Squares and roots of 137301684328640

• 137301684328640 squared (137301684328640²) is 18851752519481506967524249600
• 137301684328640 cubed (137301684328640³) is 2588377373471493661501215230723495788544000
• The square root of 137301684328640 is 11717580.1396295133
• The cube root of 137301684328640 is 51589.1796123281

Scales and comparisons

• 137,301,684,328,640 seconds is equal to 4,365,768 years, 44 weeks, 4 days, 21 hours, 57 minutes, 20 seconds.
• To count from 1 to 137,301,684,328,640 would take you about ten million, nine hundred fourteen thousand, four hundred twenty-two 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 137301684328640 cubic inches would be around 4299.1 feet tall.

Recreational maths with 137301684328640

• 137301684328640 backwards is 046823486103731
• The number of decimal digits it has is: 15
• The sum of 137301684328640's digits is 56
• More coming soon!