100993438951310720

Names of 100993438951310720

• Cardinal: 100993438951310720 can be written as One hundred quadrillion, nine hundred ninety-three trillion, four hundred thirty-eight billion, nine hundred fifty-one million, three hundred ten thousand, seven hundred twenty.

Scientific notation

• Scientific notation: 1.0099343895131072 × 10¹⁷

Factors of 100993438951310720

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 13870286804

Divisors of 100993438951310720

• Number of divisors d(n): 128
• Complete list of divisors:
  1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 367 496 620 640 734 992 1240 1468 1835 1984 2480 2936 3670 3968 4960 5872 7340 9920 11377 11744 14680 19840 22754 23488 29360 45508 46976 56885 58720 91016 113770 117440 182032 227540 234880 364064 455080 728128 910160 1456256 1820320 3640640 7281280 13870286399 27740572798 55481145596 69351431995 110962291192 138702863990 221924582384 277405727980 429978878369 443849164768 554811455960 859957756738 887698329536 1109622911920 1719915513476 1775396659072 2149894391845 2219245823840 3439831026952 4299788783690 4438491647680 5090395108433 6879662053904 8599577567380 8876983295360 10180790216866 13759324107808 17199155134760 20361580433732 25451975542165 27518648215616 34398310269520 40723160867464 50903951084330 55037296431232 68796620539040 81446321734928 101807902168660 137593241078080 157802248361423 162892643469856 203615804337320 275186482156160 315604496722846 325785286939712 407231608674640 631208993445692 651570573879424 789011241807115 814463217349280 1262417986891384 1578022483614230 1628926434698560 2524835973782768 3156044967228460 3257852869397120 5049671947565536 6312089934456920 10099343895131072 12624179868913840 20198687790262144 25248359737827680 50496719475655360 100993438951310720
• Sum of all divisors σ(n): 249904833748992000
• Sum of proper divisors (its aliquot sum) s(n): 148911394797681280
• 100993438951310720 is an abundant number, because the sum of its proper divisors (148911394797681280) is greater than itself. Its abundance is 47917955846370560

Bases of 100993438951310720

• Binary: 101100110110011001111111101100101010101101000010110000000₂
• Hexadecimal: 0x166CCFF65568580
• Base-36: RMF6PCQAF7K

Squares and roots of 100993438951310720

• 100993438951310720 squared (100993438951310720²) is 10199674711212125343102805986918400
• 100993438951310720 cubed (100993438951310720³) is 1030100225270029578975880996943249638894853685248000
• The square root of 100993438951310720 is 317794649.0287568073
• The cube root of 100993438951310720 is 465690.8664477847

Scales and comparisons

• 100,993,438,951,310,720 seconds is equal to 3,211,278,965 years, 22 weeks, 3 days, 22 hours, 45 minutes, 20 seconds.
• To count from 1 to 100,993,438,951,310,720 would take you about nine billion, six hundred thirty-three million, eight hundred thirty-six thousand, eight hundred ninety-six 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 100993438951310720 cubic inches would be around 38807.6 feet tall.

Recreational maths with 100993438951310720

• 100993438951310720 backwards is 027013159834399001
• The number of decimal digits it has is: 18
• The sum of 100993438951310720's digits is 65
• More coming soon!