107398459971685008

Names of 107398459971685008

• Cardinal: 107398459971685008 can be written as One hundred seven quadrillion, three hundred ninety-eight trillion, four hundred fifty-nine billion, nine hundred seventy-one million, six hundred eighty-five thousand and eight.

Scientific notation

• Scientific notation: 1.07398459971685008 × 10¹⁷

Factors of 107398459971685008

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 445

Divisors of 107398459971685008

• Number of divisors d(n): 270
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 433 441 504 588 784 866 882 1008 1176 1299 1732 1764 2352 2598 3031 3464 3528 3897 5196 6062 6928 7056 7794 9093 10392 12124 15588 18186 20784 21217 24248 27279 31176 36372 42434 48496 54558 62352 63651 72744 84868 109116 127302 145488 169736 187489 190953 218232 254604 339472 374978 381906 436464 509208 562467 749956 763812 1018416 1124934 1312423 1499912 1527624 1687401 2249868 2624846 2999824 3055248 3374802 3937269 4499736 5249692 6749604 7874538 8999472 9186961 10499384 11811807 13499208 15749076 18373922 20998768 23623614 26998416 27560883 31498152 36747844 47247228 55121766 62996304 73495688 81182737 82682649 94494456 110243532 146991376 162365474 165365298 188988912 220487064 243548211 324730948 330730596 440974128 487096422 568279159 649461896 661461192 730644633 974192844 1136558318 1298923792 1322922384 1461289266 1704837477 1948385688 2273116636 2922578532 3409674954 3896771376 3977954113 4546233272 5114512431 5845157064 6819349908 7955908226 9092466544 10229024862 11690314128 11933862339 13638699816 15911816452 20458049724 23867724678 27277399632 31823632904 35152125121 35801587017 40916099448 47735449356 63647265808 70304250242 71603174034 81832198896 95470898712 105456375363 140608500484 143206348068 190941797424 210912750726 246064875847 281217000968 286412696136 316369126089 421825501452 492129751694 562434001936 572825392272 632738252178 738194627541 843651002904 984259503388 1265476504356 1476389255082 1687302005808 1722454130929 1968519006776 2214583882623 2530953008712 2952778510164 3444908261858 3937038013552 4429167765246 5061906017424 5167362392787 5905557020328 6889816523716 8858335530492 10334724785574 11811114040656 13779633047432 15220870177393 15502087178361 17716671060984 20669449571148 27559266094864 30441740354786 31004174356722 35433342121968 41338899142296 45662610532179 60883480709572 62008348713444 82677798284592 91325221064358 106546091241751 121766961419144 124016697426888 136987831596537 182650442128716 213092182483502 243533922838288 248033394853776 273975663193074 319638273725253 365300884257432 426184364967004 547951326386148 639276547450506 730601768514864 745822638692257 852368729934008 958914821175759 1095902652772296 1278553094901012 1491645277384514 1704737459868016 1917829642351518 2191805305544592 2237467916076771 2557106189802024 2983290554769028 3835659284703036 4474935832153542 5114212379604048 5966581109538056 6712403748230313 7671318569406072 8949871664307084 11933162219076112 13424807496460626 15342637138812144 17899743328614168 26849614992921252 35799486657228336 53699229985842504 107398459971685008
• Sum of all divisors σ(n): 350447957476479954
• Sum of proper divisors (its aliquot sum) s(n): 243049497504794946
• 107398459971685008 is an abundant number, because the sum of its proper divisors (243049497504794946) is greater than itself. Its abundance is 135651037533109938

Bases of 107398459971685008

• Binary: 101111101100011100101010010010000000010010100101010010000₂
• Hexadecimal: 0x17D8E5490094A90
• Base-36: TDHKRE12TG0

Squares and roots of 107398459971685008

• 107398459971685008 squared (107398459971685008²) is 11534429204289626929377098771960064
• 107398459971685008 cubed (107398459971685008³) is 1238779933193134055545602015188104938390180963520512
• The square root of 107398459971685008 is 327717042.5407946463
• The cube root of 107398459971685008 is 475334.5159378789

Scales and comparisons

• 107,398,459,971,685,008 seconds is equal to 3,414,938,821 years, 44 weeks, 1 day, 18 hours, 16 minutes, 48 seconds.
• To count from 1 to 107,398,459,971,685,008 would take you about ten billion, two hundred forty-four million, eight hundred sixteen thousand, four hundred sixty-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 107398459971685008 cubic inches would be around 39611.2 feet tall.

Recreational maths with 107398459971685008

• 107398459971685008 backwards is 800586179954893701
• The number of decimal digits it has is: 18
• The sum of 107398459971685008's digits is 90
• More coming soon!