13215601653196800
13,215,601,653,196,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13215601653196800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
13215601653196800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13215601653196800:
211 × 3 × 52 × 11 × 13 × 192 × 12912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 19 × 19 × 1291 × 1291)See below for interesting mathematical facts about the number 13215601653196800 from the Numbermatics database.
Names of 13215601653196800
- Cardinal: 13215601653196800 can be written as Thirteen quadrillion, two hundred fifteen trillion, six hundred one billion, six hundred fifty-three million, one hundred ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.32156016531968 × 1016
Factors of 13215601653196800
Divisors of 13215601653196800
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 19 20 22 24 25 26 30 32 33 38 39 40 44 48 50 52 55 57 60 64 65 66 75 76 78 80 88 95 96 100 104 110 114 120 128 130 132 143 150 152 156 160 165 176 190 192 195 200 208 209 220 228 240 247 256 260 264 275 285 286 300 304 312 320 325 330 352 361 380 384 390 400 416 418 429 440 456 475 480 494 512 520 528 550 570 572 600 608 624 627 640 650 660 704 715 722 741 760 768 780 800 825 832 836 858 880 912 950 960 975 988 1024 1040 1045 1056 1083 1100 1140 1144 1200 1216 1235 1248 1254 1280 1291 1300 1320 1408 1425 1430 1444 1482 1520 1536 1560 1600 1650 1664 1672 1716 1760 1805 1824 1900 1920 1950 1976 2048 2080 2090 2112 2145 2166 2200 2280 2288 2400 2432 2470 2496 2508 2560 2582 2600 2640 2717 2816 2850 2860 2888 2964 3040 3072 3120 3135 3200 3300 3328 3344 3432 3520 3575 3610 3648 3705 3800 3840 3873 3900 3952 3971 4160 4180 4224 4290 4332 4400 4560 4576 4693 4800 4864 4940 4992 5016 5120 5164 5200 5225 5280 5415 5434 5632 5700 5720 5776 5928 6080 6144 6175 6240 6270 6400 6455 6600 6656 6688 6864 7040 7150 7220 7296 7410 7600 7680 7746 7800 7904 7942 8151 8320 8360 8448 8580 8664 8800 9025 9120 9152 9386 9600 9728 9880 9984 10032 10240 10328 10400 10450 10560 10725 10830 10868 11264 11400 11440 11552 11856 11913 12160 12350 12480 12540 12800 12910 13200 13312 13376 13585 13728 14079 14080 14201 14300 14440 14592 14820 15200 15360 15492 15600 15675 15808 15884 16302 16640 16720 16783 16896 17160 17328 17600 18050 18240 18304 18525 18772 19200 19365 19456 19760 19855 19968 20064 20656 20800 20900 21120 21450 21660 21736 22528 22800 22880 23104 23465 23712 23826 24320 24529 24700 24960 25080 25600 25820 26400 26624 26752 27075 27170 27456 28158 28160 28402 28600 28880 29184 29640 30400 30720 30984 31200 31350 31616 31768 32275 32604 33280 33440 33566 33792 34320 34656 35200 36100 36480 36608 37050 37544 38400 38730 38912 39520 39710 39936 40128 40755 41312 41600 41800 42240 42603 42900 43320 43472 45600 45760 46208 46930 47424 47652 48640 49058 49400 49920 50160 50349 51200 51623 51640 52800 53504 54150 54340 54912 56316 56320 56804 57200 57760 58368 59280 59565 60800 61968 62400 62700 63232 63536 64550 65208 66560 66880 67132 67584 67925 68640 69312 70395 70400 71005 72200 72960 73216 73587 74100 75088 76800 77460 79040 79420 79872 80256 81510 82624 83200 83600 83915 84480 85206 85800 86640 86944 91200 91520 92416 93860 94848 95304 96825 97280 98116 98800 99275 99840 100320 100698 103246 103280 105600 107008 108300 108680 109824 112632 112640 113608 114400 115520 116736 117325 118560 119130 121600 122645 123936 124800 125400 126464 127072 129100 130416 133120 133760 134264 135850 137280 138624 140790 140800 142010 144400 145920 146432 147174 148200 150176 153600 154869 154920 158080 158840 160512 163020 165248 166400 167200 167830 168960 170412 171600 173280 173888 182400 183040 184613 184832 187720 189696 190608 193650 194560 196232 197600 198550 199680 200640 201396 203775 206492 206560 211200 213015 214016 216600 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616111965184 625738714640 632325437952 635365464096 639794812800 658672331200 661839025100 665605724160 668805751680 679255841550 682447800320 688312586104 704006054400 713392801792 722006209200 724539564320 732166296576 750886457568 762673225600 770139956480 782173393300 787439769600 790406797440 794206830120 810673638400 832007155200 836007189600 843100583936 847153952128 853059750400 860390732630 869447477184 891741002240 905674455400 915207870720 924167947776 930610636800 938608071960 938674739200 962674945600 972808366080 988008496800 992758537650 1001181943424 1023671700480 1032468879156 1053875729920 1058942440160 1070089202688 1086809346480 1109342873600 1114676252800 1144009838400 1155209934720 1159263302912 1173260089950 1216010457600 1220277160960 1232223930368 1251477429280 1264650875904 1270730928192 1279589625600 1290586098945 1317344662400 1323678050200 1337611503360 1358511683100 1376625172208 1408012108800 1444012418400 1449079128640 1464332593152 1501772915136 1525346451200 1540279912960 1564346786600 1580813594880 1588413660240 1621347276800 1664014310400 1672014379200 1694307904256 1706119500800 1720781465260 1738894954368 1783482004480 1811348910800 1830415741440 1848335895552 1877216143920 1925349891200 1976016993600 1985517075300 2002363886848 2047343400960 2064937758312 2107751459840 2117884880320 2140178405376 2150976831575 2173618692960 2229352505600 2288019676800 2310419869440 2318526605824 2346520179900 2432020915200 2440554321920 2502954858560 2529301751808 2541461856384 2559179251200 2581172197890 2634689324800 2647356100400 2675223006720 2717023366200 2753250344416 2816024217600 2888024836800 2898158257280 3003545830272 3050692902400 3080559825920 3128693573200 3161627189760 3176827320480 3328028620800 3344028758400 3388615808512 3412239001600 3441562930520 3477789908736 3566964008960 3622697821600 3660831482880 3696671791104 3754432287840 3850699782400 3952033987200 3971034150600 4004727773696 4129875516624 4215502919680 4235769760640 4301953663150 4347237385920 4458705011200 4576039353600 4620839738880 4637053211648 4693040359800 4864041830400 5005909717120 5082923712768 5118358502400 5162344395780 5269378649600 5294712200800 5350446013440 5434046732400 5506500688832 5776049673600 5796316514560 6007091660544 6101385804800 6161119651840 6257387146400 6323254379520 6353654640960 6452930494725 6688057516800 6777231617024 6883125861040 6955579817472 7245395643200 7321662965760 7508864575680 7701399564800 7904067974400 7942068301200 8009455547392 8259751033248 8471539521280 8603907326300 8694474771840 8917410022400 9152078707200 9241679477760 9274106423296 9386080719600 10011819434240 10165847425536 10236717004800 10324688791560 10538757299200 10589424401600 10700892026880 10868093464800 11013001377664 11552099347200 11592633029120 12014183321088 12202771609600 12514774292800 12646508759040 12707309281920 12905860989450 13376115033600 13554463234048 13766251722080 13911159634944 14490791286400 15017729151360 15402799129600 15808135948800 15884136602400 16018911094784 16519502066496 16943079042560 17207814652600 17388949543680 17834820044800 18304157414400 18483358955520 18772161439200 20023638868480 20331694851072 20649377583120 21077514598400 21178848803200 21736186929600 22026002755328 23104198694400 23185266058240 24028366642176 25029548585600 25414618563840 25811721978900 26752230067200 27532503444160 27822319269888 28981582572800 30035458302720 30805598259200 31616271897600 31768273204800 33039004132992 33886158085120 34415629305200 34777899087360 36608314828800 37544322878400 40047277736960 40663389702144 41298755166240 42357697606400 43472373859200 44052005510656 46208397388800 46370532116480 48056733284352 50059097171200 50829237127680 51623443957800 53504460134400 55065006888320 57963165145600 60070916605440 63232543795200 63536546409600 66078008265984 67772316170240 68831258610400 69555798174720 75088645756800 80094555473920 82597510332480 84715395212800 86944747718400 88104011021312 92416794777600 100118194342400 101658474255360 103246887915600 110130013776640 115926330291200 120141833210880 127073092819200 132156016531968 137662517220800 139111596349440 150177291513600 165195020664960 169430790425600 173889495436800 176208022042624 200236388684800 203316948510720 206493775831200 220260027553280 231852660582400 240283666421760 254146185638400 264312033063936 275325034441600 300354583027200 330390041329920 338861580851200 347778990873600 400472777369600 412987551662400 440520055106560 508292371276800 528624066127872 550650068883200 600709166054400 660780082659840 695557981747200 825975103324800 881040110213120 1016584742553600 1101300137766400 1201418332108800 1321560165319680 1651950206649600 2202600275532800 2643120330639360 3303900413299200 4405200551065600 6607800826598400 13215601653196800
- Sum of all divisors σ(n): 54212428822799520
- Sum of proper divisors (its aliquot sum) s(n): 40996827169602720
- 13215601653196800 is an abundant number, because the sum of its proper divisors (40996827169602720) is greater than itself. Its abundance is 27781225516405920
Bases of 13215601653196800
- Binary: 1011101111001110000101000010100000100000101000000000002
- Hexadecimal: 0x2EF3850A082800
- Base-36: 3M4JFL3L91C
Squares and roots of 13215601653196800
- 13215601653196800 squared (132156016531968002) is 174652127055977993219659530240000
- 13215601653196800 cubed (132156016531968003) is 2308132939055320329329971749002576482271232000000
-
The
square root of 13215601653196800 is 114959130.3603015257 -
The
cube root of 13215601653196800 is 236426.2242378771
Scales and comparisons
How big is 13215601653196800?- 13,215,601,653,196,800 seconds is equal to 420,215,254 years, 1 week, 4 days, 13 hours, 20 minutes.
-
To count from 1 to 13,215,601,653,196,800 would take you about one billion, two hundred sixty million, six hundred forty-five thousand, seven hundred sixty-two 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 13215601653196800 cubic inches would be around 19702.2 feet tall.
Recreational maths with 13215601653196800
- 13215601653196800 backwards is 00869135610651231
- 13215601653196800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13215601653196800's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 13215601653196800 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 13215601653196800 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/13215601653196800/
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Numbermatics. 2024. "Number 13215601653196800 - Facts about the integer". https://numbermatics.com/n/13215601653196800/
The information we have on file for 13215601653196800 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!
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