13215144398976000
13,215,144,398,976,000 is an even composite number composed of six prime numbers multiplied together.
13215144398976000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 13215144398976000:
210 × 32 × 53 × 133 × 1512 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 151 × 151 × 229)See below for interesting mathematical facts about the number 13215144398976000 from the Numbermatics database.
Names of 13215144398976000
- Cardinal: 13215144398976000 can be written as Thirteen quadrillion, two hundred fifteen trillion, one hundred forty-four billion, three hundred ninety-eight million, nine hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.3215144398976 × 1016
Factors of 13215144398976000
Divisors of 13215144398976000
- Number of divisors d(n): 3168
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 144 150 151 156 160 169 180 192 195 200 208 225 229 234 240 250 256 260 288 300 302 312 320 325 338 360 375 384 390 400 416 450 453 458 468 480 500 507 512 520 576 585 600 604 624 640 650 676 687 720 750 755 768 780 800 832 845 900 906 916 936 960 975 1000 1014 1024 1040 1125 1145 1152 1170 1200 1208 1248 1280 1300 1352 1359 1374 1440 1500 1510 1521 1536 1560 1600 1625 1664 1690 1800 1812 1832 1872 1920 1950 1963 2000 2028 2061 2080 2197 2250 2265 2290 2304 2340 2400 2416 2496 2535 2560 2600 2704 2718 2748 2880 2925 2977 3000 3020 3042 3072 3120 3200 3250 3328 3380 3435 3600 3624 3664 3744 3775 3840 3900 3926 4000 4056 4122 4160 4225 4394 4500 4530 4580 4608 4680 4800 4832 4875 4992 5070 5120 5200 5408 5436 5496 5725 5760 5850 5889 5954 6000 6040 6084 6240 6400 6500 6591 6656 6760 6795 6870 7200 7248 7328 7488 7550 7605 7680 7800 7852 8000 8112 8244 8320 8450 8788 8931 9000 9060 9160 9216 9360 9600 9664 9750 9815 9984 10140 10305 10400 10816 10872 10985 10992 11325 11450 11520 11700 11778 11908 12000 12080 12168 12480 12675 12800 13000 13182 13312 13520 13590 13740 14400 14496 14625 14656 14885 14976 15100 15210 15360 15600 15704 16000 16224 16488 16640 16900 17175 17576 17667 17862 18000 18120 18320 18720 18875 19200 19328 19500 19630 19773 19968 20280 20610 20800 21125 21632 21744 21970 21984 22650 22801 22900 23040 23400 23556 23816 24000 24160 24336 24960 25350 25519 25600 26000 26364 26793 27040 27180 27480 28625 28800 28992 29250 29312 29445 29770 29952 30200 30420 31200 31408 32000 32448 32955 32976 33280 33800 33975 34350 34579 35152 35334 35724 36000 36240 36640 37440 37750 38025 38400 38656 38701 39000 39260 39546 39936 40560 41220 41600 42250 43264 43488 43940 43968 44655 45300 45602 45800 46080 46800 47112 47632 48000 48320 48672 49075 49920 50700 51038 51525 52000 52728 53586 54080 54360 54925 54960 56625 57250 57600 57984 58500 58624 58890 59540 59904 60400 60840 62400 62816 63375 64000 64896 65910 65952 66560 67600 67950 68403 68700 69158 70304 70668 71448 72000 72480 73280 74425 74880 75500 76050 76557 76800 77312 77402 78000 78520 79092 81120 82440 83200 84500 85875 86528 86976 87880 87936 88335 89310 90600 91204 91600 93600 94224 95264 96000 96640 97344 98150 98865 99840 101400 102076 103050 103737 104000 105456 107172 108160 108720 109850 109920 113250 114005 114500 115200 115968 116103 117000 117248 117780 119080 119808 120800 121680 124800 125632 126750 127595 128000 129792 131820 131904 133965 135200 135900 136806 137400 138316 140608 141336 142896 144000 144960 146560 147225 148850 149760 151000 152100 153114 154624 154804 156000 157040 158184 162240 164775 164880 166400 169000 169875 171750 172895 173056 173952 175760 175872 176670 178620 181200 182408 183200 187200 188448 190125 190528 192000 193280 193505 194688 196300 197730 199680 202800 204152 205209 206100 207474 208000 210912 214344 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5162165780850 5213074713600 5294529006000 5469844536000 5506310166240 5647497606400 5735739756500 5770805414400 5834500838400 5873397510656 6015086208000 6353434807200 6412006016000 6516343392000 6607572199488 6732116352000 6776997127680 6882887707800 7059372008000 7213506768000 7293126048000 7341746888320 7819612070400 7941793509000 8132396553216 8259465249360 8471246409600 8603609634750 8688457856000 8751751257600 8810096265984 9177183610400 9618009024000 9724168064000 9774515088000 10165495691520 10324331561700 10589058012000 10939689072000 11012620332480 11294995212800 11471479513000 11541610828800 11746795021312 12706869614400 12905414452125 13032686784000 13215144398976 13553994255360 13765775415600 14118744016000 14427013536000 14586252096000 14683493776640 15639224140800 15883587018000 16518930498720 16942492819200 17207219269500 17503502515200 17620192531968 18354367220800 19236018048000 19549030176000 20330991383040 20648663123400 21178116024000 21879378144000 22025240664960 22589990425600 22942959026000 25413739228800 25810828904250 26065373568000 26430288797952 27531550831200 28237488032000 28854027072000 29172504192000 29366987553280 31767174036000 33037860997440 33884985638400 34414438539000 35240385063936 36708734441600 39098060352000 40661982766080 41297326246800 42356232048000 43758756288000 44050481329920 45885918052000 50827478457600 51621657808500 52860577595904 55063101662400 56474976064000 57708054144000 58733975106560 63534348072000 66075721994880 67769971276800 68828877078000 73417468883200 78196120704000 82594652493600 84712464096000 87517512576000 88100962659840 91771836104000 101654956915200 103243315617000 105721155191808 110126203324800 112949952128000 127068696144000 132151443989760 137657754156000 146834937766400 165189304987200 169424928192000 176201925319680 183543672208000 203309913830400 206486631234000 220252406649600 254137392288000 264302887979520 275315508312000 293669875532800 330378609974400 338849856384000 367087344416000 412973262468000 440504813299200 508274784576000 528605775959040 550631016624000 660757219948800 734174688832000 825946524936000 881009626598400 1016549569152000 1101262033248000 1321514439897600 1468349377664000 1651893049872000 2202524066496000 2643028879795200 3303786099744000 4405048132992000 6607572199488000 13215144398976000
- Sum of all divisors σ(n): 52159094475415200
- Sum of proper divisors (its aliquot sum) s(n): 38943950076439200
- 13215144398976000 is an abundant number, because the sum of its proper divisors (38943950076439200) is greater than itself. Its abundance is 25728805677463200
Bases of 13215144398976000
- Binary: 1011101111001100011010100100111000111001110100000000002
- Hexadecimal: 0x2EF31A938E7400
- Base-36: 3M4DLIY8E80
Squares and roots of 13215144398976000
- 13215144398976000 squared (132151443989760002) is 174640041485786744269848576000000
- 13215144398976000 cubed (132151443989760003) is 2307893366077830970650475871842049458176000000000
-
The
square root of 13215144398976000 is 114957141.5744841839 -
The
cube root of 13215144398976000 is 236423.4974573485
Scales and comparisons
How big is 13215144398976000?- 13,215,144,398,976,000 seconds is equal to 420,200,714 years, 39 weeks, 4 days, 8 hours.
-
To count from 1 to 13,215,144,398,976,000 would take you about one billion, two hundred sixty million, six hundred two thousand, one hundred forty-four 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 13215144398976000 cubic inches would be around 19702 feet tall.
Recreational maths with 13215144398976000
- 13215144398976000 backwards is 00067989344151231
- The number of decimal digits it has is: 17
- The sum of 13215144398976000's digits is 63
- More coming soon!
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"Number 13215144398976000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 13215144398976000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/13215144398976000/
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Numbermatics. 2024. "Number 13215144398976000 - Facts about the integer". https://numbermatics.com/n/13215144398976000/
The information we have on file for 13215144398976000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 13215144398976000, math, Factors of 13215144398976000, curriculum, school, college, exams, university, Prime factorization of 13215144398976000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, two hundred fifteen trillion, one hundred forty-four billion, three hundred ninety-eight million, nine hundred seventy-six thousand.