107146248768

Names of 107146248768

• Cardinal: 107146248768 can be written as One hundred seven billion, one hundred forty-six million, two hundred forty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.07146248768 × 10¹¹

Factors of 107146248768

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 185

Divisors of 107146248768

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 167 169 192 208 216 234 288 312 334 338 351 416 432 468 501 507 576 624 668 676 702 832 864 936 1002 1014 1248 1336 1352 1404 1503 1521 1728 1872 2004 2028 2171 2197 2496 2672 2704 2808 3006 3042 3744 4008 4056 4342 4394 4509 4563 5344 5408 5616 6012 6084 6513 6591 7488 8016 8112 8684 8788 9018 9126 10688 10816 11232 12024 12168 13026 13182 16032 16224 17368 17576 18036 18252 19539 19773 22464 24048 24336 26052 26364 28223 28561 32064 32448 34736 35152 36072 36504 39078 39546 48096 48672 52104 52728 56446 57122 58617 59319 69472 70304 72144 73008 78156 79092 84669 85683 96192 97344 104208 105456 112892 114244 117234 118638 138944 140608 144288 146016 156312 158184 169338 171366 208416 210912 225784 228488 234468 237276 254007 257049 288576 292032 312624 316368 338676 342732 366899 371293 416832 421824 451568 456976 468936 474552 508014 514098 625248 632736 677352 685464 733798 742586 762021 771147 903136 913952 937872 949104 1016028 1028196 1100697 1113879 1250496 1265472 1354704 1370928 1467596 1485172 1524042 1542294 1806272 1827904 1875744 1898208 2032056 2056392 2201394 2227758 2709408 2741856 2935192 2970344 3048084 3084588 3302091 3341637 3751488 3796416 4064112 4112784 4402788 4455516 4769687 5418816 5483712 5870384 5940688 6096168 6169176 6604182 6683274 8128224 8225568 8805576 8911032 9539374 9906273 10024911 11740768 11881376 12192336 12338352 13208364 13366548 14309061 16256448 16451136 17611152 17822064 19078748 19812546 20049822 23481536 23762752 24384672 24676704 26416728 26733096 28618122 35222304 35644128 38157496 39625092 40099644 42927183 48769344 49353408 52833456 53466192 57236244 62005931 70444608 71288256 76314992 79250184 80199288 85854366 105666912 106932384 114472488 124011862 128781549 152629984 158500368 160398576 171708732 186017793 211333824 213864768 228944976 248023724 257563098 305259968 317000736 320797152 343417464 372035586 457889952 496047448 515126196 558053379 634001472 641594304 686834928 744071172 915779904 992094896 1030252392 1116106758 1373669856 1488142344 1674160137 1984189792 2060504784 2232213516 2747339712 2976284688 3348320274 3968379584 4121009568 4464427032 5952569376 6696640548 8242019136 8928854064 11905138752 13393281096 17857708128 26786562192 35715416256 53573124384 107146248768
• Sum of all divisors σ(n): 343282584960
• Sum of proper divisors (its aliquot sum) s(n): 236136336192
• 107146248768 is an abundant number, because the sum of its proper divisors (236136336192) is greater than itself. Its abundance is 128990087424

Bases of 107146248768

• Binary: 1100011110010011010100000001001000000₂
• Hexadecimal: 0x18F26A0240
• Base-36: 1D803YO0

Squares and roots of 107146248768

• 107146248768 squared (107146248768²) is 11480318625054141517824
• 107146248768 cubed (107146248768³) is 1230073075335954764537447410040832
• The square root of 107146248768 is 327332.0161059715
• The cube root of 107146248768 is 4749.6213735949

Scales and comparisons

• 107,146,248,768 seconds is equal to 3,406 years, 47 weeks, 5 days, 14 hours, 52 minutes, 48 seconds.
• To count from 1 to 107,146,248,768 would take you about six thousand, eight hundred thirteen 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 107146248768 cubic inches would be around 395.8 feet tall.

Recreational maths with 107146248768

• 107146248768 backwards is 867842641701
• 107146248768 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 107146248768's digits is 54
• More coming soon!