106996148143032712704
106,996,148,143,032,712,704 is an even composite number composed of five prime numbers multiplied together.
106996148143032712704 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 106996148143032712704:
29 × 3 × 72 × 18413 × 77206931897
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 18413 × 77206931897)See below for interesting mathematical facts about the number 106996148143032712704 from the Numbermatics database.
Names of 106996148143032712704
- Cardinal: 106996148143032712704 can be written as One hundred six quintillion, nine hundred ninety-six quadrillion, one hundred forty-eight trillion, one hundred forty-three billion, thirty-two million, seven hundred twelve thousand, seven hundred four.
Scientific notation
- Scientific notation: 1.06996148143032712704 × 1020
Factors of 106996148143032712704
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 77206950322
Divisors of 106996148143032712704
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1176 1344 1536 1568 1792 2352 2688 3136 3584 4704 5376 6272 9408 10752 12544 18413 18816 25088 36826 37632 55239 73652 75264 110478 128891 147304 220956 257782 294608 386673 441912 515564 589216 773346 883824 902237 1031128 1178432 1546692 1767648 1804474 2062256 2356864 2706711 3093384 3535296 3608948 4124512 4713728 5413422 6186768 7070592 7217896 8249024 9427456 10826844 12373536 14141184 14435792 16498048 21653688 24747072 28282368 28871584 32996096 43307376 49494144 57743168 65992192 86614752 98988288 115486336 173229504 197976576 230972672 346459008 461945344 692918016 1385836032 77206931897 154413863794 231620795691 308827727588 463241591382 540448523279 617655455176 926483182764 1080897046558 1235310910352 1621345569837 1852966365528 2161794093116 2470621820704 3242691139674 3705932731056 3783139662953 4323588186232 4941243641408 6485382279348 7411865462112 7566279325906 8647176372464 9882487282816 11349418988859 12970764558696 14823730924224 15132558651812 17294352744928 19764974565632 22698837977718 25941529117392 29647461848448 30265117303624 34588705489856 39529949131264 45397675955436 51883058234784 59294923696896 60530234607248 69177410979712 90795351910872 103766116469568 118589847393792 121060469214496 138354821959424 181590703821744 207532232939136 242120938428992 276709643918848 363181407643488 415064465878272 484241876857984 726362815286976 830128931756544 968483753715968 1421611237019461 1452725630573952 1936967507431936 2843222474038922 2905451261147904 4264833711058383 5686444948077844 5810902522295808 8529667422116766 9951278659136227 11372889896155688 17059334844233532 19902557318272454 22745779792311376 29853835977408681 34118669688467064 39805114636544908 45491559584622752 59707671954817362 68237339376934128 69658950613953589 79610229273089816 90983119169245504 119415343909634724 136474678753868256 139317901227907178 159220458546179632 181966238338491008 208976851841860767 238830687819269448 272949357507736512 278635802455814356 318440917092359264 363932476676982016 417953703683721534 477661375638538896 545898715015473024 557271604911628712 636881834184718528 727864953353964032 835907407367443068 955322751277077792 1091797430030946048 1114543209823257424 1273763668369437056 1671814814734886136 1910645502554155584 2183594860061892096 2229086419646514848 2547527336738874112 3343629629469772272 3821291005108311168 4458172839293029696 5095054673477748224 6687259258939544544 7642582010216622336 8916345678586059392 13374518517879089088 15285164020433244672 17832691357172118784 26749037035758178176 35665382714344237568 53498074071516356352 106996148143032712704
- Sum of all divisors σ(n): 331600299425285500368
- Sum of proper divisors (its aliquot sum) s(n): 224604151282252787664
- 106996148143032712704 is an abundant number, because the sum of its proper divisors (224604151282252787664) is greater than itself. Its abundance is 117608003139220074960
Bases of 106996148143032712704
- Binary: 10111001100110111101010110111011000101000001000100100111110000000002
- Hexadecimal: 0x5CCDEADD8A0893E00
- Base-36: MKWMX1R3MALMO
Squares and roots of 106996148143032712704
- 106996148143032712704 squared (1069961481430327127042) is 11448175717445802615095685287465002991616
- 106996148143032712704 cubed (1069961481430327127043) is 1224910705031300906961899543314701052103369720522311848689664
-
The
square root of 106996148143032712704 is 10343894244.5789106541 -
The
cube root of 106996148143032712704 is 4747402.4304424167
Scales and comparisons
How big is 106996148143032712704?- 106,996,148,143,032,712,704 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 106,996,148,143,032,712,704 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 106996148143032712704 cubic inches would be around 395616.9 feet tall.
Recreational maths with 106996148143032712704
- 106996148143032712704 backwards is 407217230341841699601
- The number of decimal digits it has is: 21
- The sum of 106996148143032712704's digits is 78
- More coming soon!
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