13842377233102080
13,842,377,233,102,080 is an even composite number composed of five prime numbers multiplied together.
What does the number 13842377233102080 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2106 divisors.
13842377233102080 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred six divisors.
Prime factorization of 13842377233102080:
28 × 312 × 5 × 132 × 3472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 347 × 347)See below for interesting mathematical facts about the number 13842377233102080 from the Numbermatics database.
Names of 13842377233102080
- Cardinal: 13842377233102080 can be written as Thirteen quadrillion, eight hundred forty-two trillion, three hundred seventy-seven billion, two hundred thirty-three million, one hundred two thousand and eighty.
Scientific notation
- Scientific notation: 1.384237723310208 × 1016
Factors of 13842377233102080
Divisors of 13842377233102080
- Number of divisors d(n): 2106
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 81 90 96 104 108 117 120 128 130 135 144 156 160 162 169 180 192 195 208 216 234 240 243 256 260 270 288 312 320 324 338 347 351 360 384 390 405 416 432 468 480 486 507 520 540 576 585 624 640 648 676 694 702 720 729 768 780 810 832 845 864 936 960 972 1014 1040 1041 1053 1080 1152 1170 1215 1248 1280 1296 1352 1388 1404 1440 1458 1521 1560 1620 1664 1690 1728 1735 1755 1872 1920 1944 2028 2080 2082 2106 2160 2187 2304 2340 2430 2496 2535 2592 2704 2776 2808 2880 2916 3042 3120 3123 3159 3240 3328 3380 3456 3470 3510 3645 3744 3840 3888 4056 4160 4164 4212 4320 4374 4511 4563 4680 4860 4992 5070 5184 5205 5265 5408 5552 5616 5760 5832 6084 6240 6246 6318 6480 6561 6760 6912 6940 7020 7290 7488 7605 7776 8112 8320 8328 8424 8640 8748 9022 9126 9360 9369 9477 9720 9984 10140 10368 10410 10530 10816 10935 11104 11232 11520 11664 12168 12480 12492 12636 12960 13122 13520 13533 13689 13880 14040 14580 14976 15210 15552 15615 15795 16224 16640 16656 16848 17280 17496 18044 18252 18720 18738 18954 19440 19683 20280 20736 20820 21060 21632 21870 22208 22464 22555 22815 23328 24336 24960 24984 25272 25920 26244 27040 27066 27378 27760 28080 28107 28431 29160 29952 30420 31104 31230 31590 32448 32805 33312 33696 34560 34992 36088 36504 37440 37476 37908 38880 39366 40560 40599 41067 41640 42120 43264 43740 44416 44928 45110 45630 46656 46845 47385 48672 49920 49968 50544 51840 52488 54080 54132 54756 55520 56160 56214 56862 58320 58643 59049 60840 62208 62460 63180 64896 65610 66624 67392 67665 68445 69984 72176 73008 74880 74952 75816 77760 78732 81120 81198 82134 83280 84240 84321 85293 87480 88832 89856 90220 91260 93312 93690 94770 97344 98415 99936 101088 103680 104976 108160 108264 109512 111040 112320 112428 113724 116640 117286 118098 120409 121680 121797 123201 124920 126360 129792 131220 133248 134784 135330 136890 139968 140535 142155 144352 146016 149760 149904 151632 155520 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922825148873472 1064798248700160 1153531436091840 1384237723310208 1538041914789120 1730297154137760 2307062872183680 2768475446620416 3460594308275520 4614125744367360 6921188616551040 13842377233102080
- Sum of all divisors σ(n): 54010922958125406
- Sum of proper divisors (its aliquot sum) s(n): 40168545725023326
- 13842377233102080 is an abundant number, because the sum of its proper divisors (40168545725023326) is greater than itself. Its abundance is 26326168491921246
Bases of 13842377233102080
- Binary: 1100010010110110010001100110011101001101110101000000002
- Hexadecimal: 0x312D9199D37500
- Base-36: 3SAPOB90000
Squares and roots of 13842377233102080
- 13842377233102080 squared (138423772331020802) is 191611407463502796024899700326400
- 13842377233102080 cubed (138423772331020803) is 2652357384275437074600788878324903790260518912000
-
The
square root of 13842377233102080 is 117653632.4687940947 -
The
cube root of 13842377233102080 is 240106.3026372705
Scales and comparisons
How big is 13842377233102080?- 13,842,377,233,102,080 seconds is equal to 440,144,778 years, 37 weeks, 6 days, 4 hours, 48 minutes.
-
To count from 1 to 13,842,377,233,102,080 would take you about one billion, three hundred twenty million, four hundred thirty-four thousand, three hundred thirty-six 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 13842377233102080 cubic inches would be around 20008.9 feet tall.
Recreational maths with 13842377233102080
- 13842377233102080 backwards is 08020133277324831
- 13842377233102080 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13842377233102080's digits is 54
- More coming soon!
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"Number 13842377233102080 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 13842377233102080 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/13842377233102080/
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The information we have on file for 13842377233102080 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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