13581924672076992

Names of 13581924672076992

• Cardinal: 13581924672076992 can be written as Thirteen quadrillion, five hundred eighty-one trillion, nine hundred twenty-four billion, six hundred seventy-two million, seventy-six thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 1.3581924672076992 × 10¹⁶

Factors of 13581924672076992

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 7469030895

Divisors of 13581924672076992

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 41 42 44 48 56 63 64 66 72 77 82 84 88 96 99 112 123 126 132 144 154 164 168 176 192 198 224 231 246 252 264 287 288 308 328 336 352 369 396 448 451 462 492 504 528 574 576 616 656 672 693 704 738 792 861 902 924 984 1008 1056 1148 1232 1312 1344 1353 1386 1476 1584 1722 1804 1848 1968 2016 2112 2296 2464 2583 2624 2706 2772 2952 3157 3168 3444 3608 3696 3936 4032 4059 4592 4928 5166 5412 5544 5904 6314 6336 6888 7216 7392 7872 8118 9184 9471 10332 10824 11088 11808 12628 13776 14432 14784 16236 18368 18942 20664 21648 22176 23616 25256 27552 28413 28864 32472 37884 41328 43296 44352 50512 55104 56826 64944 75768 82656 86592 101024 113652 129888 151536 165312 202048 227304 259776 303072 454608 606144 909216 1818432 7469030831 14938061662 22407092493 29876123324 44814184986 52283215817 59752246648 67221277479 82159339141 89628369972 104566431634 119504493296 134442554958 156849647451 164318678282 179256739944 209132863268 239008986592 246478017423 268885109916 306230264071 313699294902 328637356564 358513479888 418265726536 470548942353 478017973184 492956034846 537770219832 575115373987 612460528142 627398589804 657274713128 717026959776 739434052269 836531453072 918690792213 941097884706 985912069692 1075540439664 1150230747974 1224921056284 1254797179608 1314549426256 1434053919552 1478868104538 1673062906144 1725346121961 1837381584426 1882195769412 1971824139384 2143611848497 2151080879328 2300461495948 2449842112568 2509594359216 2629098852512 2756072376639 2957736209076 3346125812288 3368532904781 3450692243922 3674763168852 3764391538824 3943648278768 4287223696994 4302161758656 4600922991896 4899684225136 5019188718432 5176038365883 5258197705024 5512144753278 5915472418152 6430835545491 6737065809562 6901384487844 7349526337704 7528783077648 7887296557536 8574447393988 9201845983792 9799368450272 10038377436864 10105598714343 10352076731766 11024289506556 11830944836304 12861671090982 13474131619124 13802768975688 14699052675408 15057566155296 15774593115072 17148894787976 18403691967584 19292506636473 19598736900544 20211197428686 20704153463532 22048579013112 23579730333467 23661889672608 25723342181964 26948263238248 27605537951376 29398105350816 30115132310592 30316796143029 34297789575952 36807383935168 38585013272946 40422394857372 41408306927064 44097158026224 47159460666934 47323779345216 51446684363928 53896526476496 55211075902752 58796210701632 60633592286058 68595579151904 70739191000401 77170026545892 80844789714744 82816613854128 88194316052448 94318921333868 102893368727856 107793052952992 110422151805504 121267184572116 137191158303808 141478382000802 154340053091784 161689579429488 165633227708256 176388632104896 188637842667736 205786737455712 212217573001203 215586105905984 242534369144232 282956764001604 308680106183568 323379158858976 331266455416512 377275685335472 411573474911424 424435146002406 485068738288464 565913528003208 617360212367136 646758317717952 754551370670944 848870292004812 970137476576928 1131827056006416 1234720424734272 1509102741341888 1697740584009624 1940274953153856 2263654112012832 3395481168019248 4527308224025664 6790962336038496 13581924672076992
• Sum of all divisors σ(n): 49720083451444224
• Sum of proper divisors (its aliquot sum) s(n): 36138158779367232
• 13581924672076992 is an abundant number, because the sum of its proper divisors (36138158779367232) is greater than itself. Its abundance is 22556234107290240

Bases of 13581924672076992

• Binary: 110000010000001011000001000011011100011111110011000000₂
• Hexadecimal: 0x3040B04371FCC0
• Base-36: 3PQE222UNK0

Squares and roots of 13581924672076992

• 13581924672076992 squared (13581924672076992²) is 184468677797973706672699175768064
• 13581924672076992 cubed (13581924672076992³) is 2505439686209720330706245555822477446215742783488
• The square root of 13581924672076992 is 116541514.8008510829
• The cube root of 13581924672076992 is 238590.8434625255

Scales and comparisons

• 13,581,924,672,076,992 seconds is equal to 431,863,192 years, 47 weeks, 6 days, 2 hours, 43 minutes, 12 seconds.
• To count from 1 to 13,581,924,672,076,992 would take you about one billion, two hundred ninety-five million, five hundred eighty-nine thousand, five hundred seventy-eight 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 13581924672076992 cubic inches would be around 19882.6 feet tall.

Recreational maths with 13581924672076992

• 13581924672076992 backwards is 29967027642918531
• The number of decimal digits it has is: 17
• The sum of 13581924672076992's digits is 81
• More coming soon!