13801132893284800
13,801,132,893,284,800 is an even composite number composed of nine prime numbers multiplied together.
What does the number 13801132893284800 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2688 divisors.
13801132893284800 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 13801132893284800:
26 × 52 × 7 × 29 × 37 × 43 × 113 × 127 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 29 × 37 × 43 × 113 × 127 × 1861)See below for interesting mathematical facts about the number 13801132893284800 from the Numbermatics database.
Names of 13801132893284800
- Cardinal: 13801132893284800 can be written as Thirteen quadrillion, eight hundred one trillion, one hundred thirty-two billion, eight hundred ninety-three million, two hundred eighty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.38011328932848 × 1016
Factors of 13801132893284800
Divisors of 13801132893284800
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 32 35 37 40 43 50 56 58 64 70 74 80 86 100 112 113 116 127 140 145 148 160 172 175 185 200 203 215 224 226 232 254 259 280 290 296 301 320 344 350 370 400 406 430 448 452 464 508 518 560 565 580 592 602 635 688 700 725 740 791 800 812 860 889 904 925 928 1015 1016 1036 1073 1075 1120 1130 1160 1184 1204 1247 1270 1295 1376 1400 1450 1480 1505 1582 1591 1600 1624 1720 1778 1808 1850 1856 1861 2030 2032 2072 2146 2150 2240 2260 2320 2368 2408 2494 2540 2590 2752 2800 2825 2900 2960 3010 3164 3175 3182 3248 3277 3440 3556 3616 3683 3700 3722 3955 4060 4064 4144 4181 4292 4300 4445 4520 4640 4699 4816 4859 4988 5075 5080 5180 5365 5461 5600 5650 5800 5920 6020 6235 6328 6350 6364 6475 6496 6554 6880 7112 7232 7366 7400 7444 7511 7525 7910 7955 8120 8128 8288 8362 8584 8600 8729 8890 9040 9280 9305 9398 9632 9718 9976 10150 10160 10360 10730 10922 11137 11200 11300 11600 11840 12040 12470 12656 12700 12728 12950 12992 13027 13108 13760 14224 14351 14732 14800 14888 15022 15050 15820 15910 16240 16385 16576 16724 17168 17200 17458 17780 18080 18415 18610 18796 19264 19436 19775 19952 20300 20320 20720 20905 21460 21844 22225 22274 22600 22939 23200 23495 24080 24295 24940 25312 25400 25456 25781 25900 26054 26216 26825 27305 28448 28702 29267 29464 29600 29776 30044 30100 31175 31640 31820 32480 32770 32893 33448 34013 34336 34400 34916 35560 36160 36830 37220 37555 37592 38227 38872 39550 39775 39904 40600 40640 41440 41810 42920 43645 43688 44450 44548 45200 45878 46139 46400 46525 46990 48160 48590 49880 50624 50800 50912 51562 51800 52108 52432 53650 53969 54610 55685 56896 57404 58534 58928 59200 59552 60088 60200 62350 63280 63640 64960 65135 65540 65786 66896 68026 68672 68800 68857 69832 71120 71755 73660 74440 75110 75184 76454 77744 79100 79550 79808 80023 81200 81925 82880 83620 85840 87290 87376 88900 89096 90400 91756 92075 92278 93050 93980 96320 97180 99760 100457 101600 101824 103124 103600 104216 104525 104864 107300 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5828181120475 5948764178140 6106695970480 6161220041645 6419131578272 6431096408800 6660778423400 6791896108900 6798587632160 7415976836800 7435955222675 7460071834208 7633369963100 7762166981600 8023914472840 8498234540200 8625708058303 8674502132800 8723851386400 9170187968960 9325089792760 9518022685024 9857952066632 10029893091050 10657245477440 10867033774240 11067468238400 11462734961200 11656362240950 11897528356280 12213391940960 12322440083290 12838263156544 12862192817600 13321556846800 13583792217800 13597175264320 14871910445350 14920143668416 15266739926200 15524333963200 16047828945680 16996469080400 17251416116606 17447702772800 18650179585520 19036045370048 19715904133264 20059786182100 21734067548480 22925469922400 23312724481900 23795056712560 24426783881920 24644880166580 26643113693600 27167584435600 29743820890700 30533479852400 30806100208225 32095657891360 33992938160800 34502832233212 37300359171040 39431808266528 40119572364200 43128540291515 45850939844800 46625448963800 47590113425120 49289760333160 53286227387200 54335168871200 59487641781400 61066959704800 61612200416450 64191315782720 67985876321600 69005664466424 74600718342080 78863616533056 80239144728400 86257080583030 93250897927600 95180226850240 98579520666320 108670337742400 118975283562800 122133919409600 123224400832900 138011328932848 160478289456800 172514161166060 186501795855200 197159041332640 215642701457575 237950567125600 246448801665800 276022657865696 320956578913600 345028322332120 373003591710400 394318082665280 431285402915150 475901134251200 492897603331600 552045315731392 690056644664240 862570805830300 985795206663200 1380113289328480 1725141611660600 1971590413326400 2760226578656960 3450283223321200 6900566446642400 13801132893284800
- Sum of all divisors σ(n): 42924715682365440
- Sum of proper divisors (its aliquot sum) s(n): 29123582789080640
- 13801132893284800 is an abundant number, because the sum of its proper divisors (29123582789080640) is greater than itself. Its abundance is 15322449895795840
Bases of 13801132893284800
- Binary: 1100010000100000001110101001111001101000101001110000002
- Hexadecimal: 0x31080EA79A29C0
- Base-36: 3RW3CX9YX8G
Squares and roots of 13801132893284800
- 13801132893284800 squared (138011328932848002) is 190471269138107674744933911040000
- 13801132893284800 cubed (138011328932848003) is 2628719297727639807148585850532637016584192000000
-
The
square root of 13801132893284800 is 117478223.0597858507 -
The
cube root of 13801132893284800 is 239867.5941728461
Scales and comparisons
How big is 13801132893284800?- 13,801,132,893,284,800 seconds is equal to 438,833,336 years, 15 weeks, 4 days, 26 minutes, 40 seconds.
-
To count from 1 to 13,801,132,893,284,800 would take you about one billion, three hundred sixteen million, five hundred thousand and 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 13801132893284800 cubic inches would be around 19989 feet tall.
Recreational maths with 13801132893284800
- 13801132893284800 backwards is 00848239823110831
- The number of decimal digits it has is: 17
- The sum of 13801132893284800's digits is 61
- More coming soon!
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Cite this page
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"Number 13801132893284800 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 13801132893284800 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13801132893284800/
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Numbermatics. 2024. "Number 13801132893284800 - Facts about the integer". https://numbermatics.com/n/13801132893284800/
The information we have on file for 13801132893284800 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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