13985207416162400
13,985,207,416,162,400 is an even composite number composed of nine prime numbers multiplied together.
What does the number 13985207416162400 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2304 divisors.
13985207416162400 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13985207416162400:
25 × 52 × 11 × 37 × 41 × 47 × 53 × 67 × 6277
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 37 × 41 × 47 × 53 × 67 × 6277)See below for interesting mathematical facts about the number 13985207416162400 from the Numbermatics database.
Names of 13985207416162400
- Cardinal: 13985207416162400 can be written as Thirteen quadrillion, nine hundred eighty-five trillion, two hundred seven billion, four hundred sixteen million, one hundred sixty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.39852074161624 × 1016
Factors of 13985207416162400
Divisors of 13985207416162400
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 37 40 41 44 47 50 53 55 67 74 80 82 88 94 100 106 110 134 148 160 164 176 185 188 200 205 212 220 235 265 268 275 296 328 335 352 370 376 400 407 410 424 440 451 470 517 530 536 550 583 592 656 670 737 740 752 800 814 820 848 880 902 925 940 1025 1034 1060 1072 1100 1166 1175 1184 1312 1325 1340 1474 1480 1504 1517 1628 1640 1675 1696 1739 1760 1804 1850 1880 1927 1961 2035 2050 2068 2120 2144 2173 2200 2255 2332 2350 2479 2491 2585 2650 2680 2747 2915 2948 2960 3034 3149 3256 3280 3350 3478 3551 3608 3685 3700 3760 3854 3922 4070 4100 4136 4240 4346 4400 4510 4664 4700 4958 4982 5170 5300 5360 5494 5830 5896 5920 6068 6277 6298 6512 6560 6700 6956 7102 7216 7370 7400 7520 7585 7708 7844 8140 8200 8272 8480 8692 8695 8800 9020 9328 9400 9635 9805 9916 9964 10175 10340 10600 10720 10865 10988 11275 11660 11792 12136 12395 12455 12554 12596 12925 13024 13400 13735 13912 14204 14432 14575 14740 14800 15170 15416 15688 15745 16280 16400 16544 16687 17384 17390 17755 18040 18425 18656 18800 19129 19270 19610 19832 19928 20350 20680 21197 21200 21571 21730 21976 22550 23320 23584 23903 24272 24790 24910 25108 25192 25850 26800 27269 27401 27470 27824 28408 29150 29480 29600 30217 30340 30832 31376 31385 31490 32560 32800 33374 34639 34768 34780 35510 36080 36850 37600 37925 38258 38540 39061 39220 39664 39856 40700 41360 42394 42400 43142 43460 43475 43952 45100 46640 47806 48175 48544 49025 49580 49820 50216 50384 51700 53600 54325 54538 54802 54940 55648 56816 58300 58960 60434 60680 61664 61975 62275 62752 62770 62980 65120 66748 68675 69047 69278 69536 69560 71020 71299 72160 73700 75850 76516 77080 78122 78440 78725 79328 79712 80401 81400 82720 83435 84788 86284 86920 86950 87904 88775 90200 92167 93280 95612 95645 96350 98050 99160 99640 100432 100768 101639 102131 103400 105985 107855 108650 109076 109604 109880 113632 116513 116600 117920 119515 120868 121360 123950 124550 125540 125960 129109 131387 133496 136345 137005 137350 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2998543614100 3100932908240 3178456230946 3217949244400 3298397975510 3381336415900 3411026199064 3436168898320 3565835649200 3628751275600 3719470057490 3779785788152 3795171619040 3876166135300 3938385642400 4021048710800 4174688780944 4263782748830 4295211122900 4441158277600 4609494863600 4724732235190 4743964523800 4797669782560 5091083879200 5218360976180 5277436760816 5410138265440 5614294426400 5641471325600 5951152091984 5997087228200 6201865816480 6356912461892 6435898488800 6522951220225 6596795951020 6762672831800 6822052398128 6872337796640 7131671298400 7257502551200 7438940114980 7559571576304 7752332270600 7946140577365 8042097421600 8245994938775 8349377561888 8527565497660 8590422245800 9218989727200 9298675143725 9449464470380 9487929047600 10436721952360 10554873521632 10659456872075 11811830587975 11902304183968 11994174456400 12713824923784 13045902440450 13193591902040 13525345663600 13644104796256 14877880229960 15119143152608 15504664541200 15892281154730 16491989877550 17055130995320 17180844491600 17481509270203 18597350287450 18898928940760 18975858095200 20873443904720 21318913744150 23623661175950 23988348912800 25427649847568 26091804880900 26387183804080 27050691327200 29755760459920 31009329082400 31784562309460 32983979755100 34110261990640 34361688983200 34963018540406 37194700574900 37797857881520 39730702886825 41746887809440 42637827488300 47247322351900 50855299695136 52183609761800 52774367608160 59511520919840 63569124618920 65967959510200 68220523981280 69926037080812 74389401149800 75595715763040 79461405773650 85275654976600 87407546351015 94494644703800 104367219523600 127138249237840 131935919020400 139852074161624 148778802299600 158922811547300 170551309953200 174815092702030 188989289407600 208734439047200 254276498475680 263871838040800 279704148323248 297557604599200 317845623094600 341102619906400 349630185404060 377978578815200 437037731755075 559408296646496 635691246189200 699260370808120 874075463510150 1271382492378400 1398520741616240 1748150927020300 2797041483232480 3496301854040600 6992603708081200 13985207416162400
- Sum of all divisors σ(n): 41388682082807808
- Sum of proper divisors (its aliquot sum) s(n): 27403474666645408
- 13985207416162400 is an abundant number, because the sum of its proper divisors (27403474666645408) is greater than itself. Its abundance is 13418267250483008
Bases of 13985207416162400
- Binary: 1100011010111101111000110110000010011010001000011000002
- Hexadecimal: 0x31AF78D8268860
- Base-36: 3TPCBLC87KW
Squares and roots of 13985207416162400
- 13985207416162400 squared (139852074161624002) is 195586026473083792424743173760000
- 13985207416162400 cubed (139852074161624003) is 2735311147929106948907151663453506895578624000000
-
The
square root of 13985207416162400 is 118259069.0651774073 -
The
cube root of 13985207416162400 is 240929.3102371623
Scales and comparisons
How big is 13985207416162400?- 13,985,207,416,162,400 seconds is equal to 444,686,336 years, 38 weeks, 5 days, 22 hours, 53 minutes, 20 seconds.
-
To count from 1 to 13,985,207,416,162,400 would take you about one billion, three hundred thirty-four million, fifty-nine thousand and ten 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 13985207416162400 cubic inches would be around 20077.4 feet tall.
Recreational maths with 13985207416162400
- 13985207416162400 backwards is 00426161470258931
- The number of decimal digits it has is: 17
- The sum of 13985207416162400's digits is 59
- More coming soon!
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"Number 13985207416162400 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 13985207416162400 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/13985207416162400/
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The information we have on file for 13985207416162400 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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