106109384918110464

Names of 106109384918110464

• Cardinal: 106109384918110464 can be written as One hundred six quadrillion, one hundred nine trillion, three hundred eighty-four billion, nine hundred eighteen million, one hundred ten thousand, four hundred sixty-four.

Scientific notation

• Scientific notation: 1.06109384918110464 × 10¹⁷

Factors of 106109384918110464

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 232451

Divisors of 106109384918110464

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1201 1408 2112 2402 2816 3603 4224 4804 7206 8448 9608 13211 14412 19216 26422 28824 38432 39633 52844 57648 61681 76864 79266 105688 115296 123362 153728 158532 169553 185043 211376 230592 246724 307456 317064 339106 370086 422752 461184 493448 508659 634128 678212 678491 740172 845504 922368 986896 1017318 1268256 1356424 1356982 1480344 1691008 1865083 1973792 2034636 2035473 2536512 2712848 2713964 2960688 3382016 3730166 3947584 4069272 4070946 5073024 5425696 5427928 5595249 5921376 7460332 7895168 8138544 8141892 10146048 10851392 10855856 11190498 11842752 14920664 15790336 16277088 16283784 21702784 21711712 22380996 23685504 29841328 32554176 32567568 43405568 43423424 44761992 47371008 59682656 65108352 65135136 74078881 86846848 89523984 119365312 130216704 130270272 148157762 173693696 179047968 203633153 222236643 238730624 260540544 296315524 358095936 407266306 444473286 477461248 521081088 592631048 610899459 716191872 814532612 814867691 888946572 1185262096 1221798918 1432383744 1629065224 1629735382 1777893144 2239964683 2370524192 2443597836 2444603073 3258130448 3259470764 3555786288 4479929366 4741048384 4887195672 4889206146 6516260896 6518941528 6719894049 7111572576 8959858732 9482096768 9774391344 9778412292 10458198593 13032521792 13037883056 13439788098 14223145152 17919717464 18964193536 19548782688 19556824584 20916397186 26065043584 26075766112 26879576196 28446290304 31374595779 35839434928 39097565376 39113649168 41832794372 52130087168 52151532224 53759152392 56892580608 62749191558 71678869856 78195130752 78227298336 83665588744 104303064448 107518304784 115040184523 125498383116 143357739712 156390261504 156454596672 167331177488 208606128896 215036609568 230080369046 250996766232 286715479424 312909193344 334662354976 345120553569 430073219136 460160738092 501993532464 573430958848 625818386688 669324709952 690241107138 860146438272 920321476184 1003987064928 1338649419904 1380482214276 1720292876544 1840642952368 2007974129856 2677298839808 2760964428552 3681285904736 4015948259712 5521928857104 7362571809472 8031896519424 11043857714208 12560296510193 14725143618944 22087715428416 25120593020386 29450287237888 37680889530579 44175430856832 50241186040772 75361779061158 88350861713664 100482372081544 138163261612123 150723558122316 200964744163088 276326523224246 301447116244632 401929488326176 414489784836369 552653046448492 602894232489264 803858976652352 828979569672738 1105306092896984 1205788464978528 1607717953304704 1657959139345476 2210612185793968 2411576929957056 3215435906609408 3315918278690952 4421224371587936 4823153859914112 6631836557381904 8842448743175872 9646307719828224 13263673114763808 17684897486351744 26527346229527616 35369794972703488 53054692459055232 106109384918110464
• Sum of all divisors σ(n): 308342288919063168
• Sum of proper divisors (its aliquot sum) s(n): 202232904000952704
• 106109384918110464 is an abundant number, because the sum of its proper divisors (202232904000952704) is greater than itself. Its abundance is 96123519082842240

Bases of 106109384918110464

• Binary: 101111000111110011110110001100011011000010001000100000000₂
• Hexadecimal: 0x178F9EC63611100
• Base-36: T0SMYHH40LC

Squares and roots of 106109384918110464

• 106109384918110464 squared (106109384918110464²) is 11259201567699728400915176106295296
• 106109384918110464 cubed (106109384918110464³) is 1194706953017643253178739427728722740250151531577344
• The square root of 106109384918110464 is 325744355.1592421133
• The cube root of 106109384918110464 is 473425.0848601947

Scales and comparisons

• 106,109,384,918,110,464 seconds is equal to 3,373,950,222 years, 26 weeks, 6 days, 15 hours, 34 minutes, 24 seconds.
• To count from 1 to 106,109,384,918,110,464 would take you about ten billion, one hundred twenty-one million, eight hundred fifty thousand, six hundred sixty-seven 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 106109384918110464 cubic inches would be around 39452.1 feet tall.

Recreational maths with 106109384918110464

• 106109384918110464 backwards is 464011819483901601
• 106109384918110464 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 106109384918110464's digits is 66
• More coming soon!