13585349801017344
13,585,349,801,017,344 is an even composite number composed of six prime numbers multiplied together.
What does the number 13585349801017344 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
13585349801017344 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13585349801017344:
217 × 3 × 74 × 23 × 372 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 23 × 37 × 37 × 457)See below for interesting mathematical facts about the number 13585349801017344 from the Numbermatics database.
Names of 13585349801017344
- Cardinal: 13585349801017344 can be written as Thirteen quadrillion, five hundred eighty-five trillion, three hundred forty-nine billion, eight hundred one million, seventeen thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.3585349801017344 × 1016
Factors of 13585349801017344
Divisors of 13585349801017344
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 37 42 46 48 49 56 64 69 74 84 92 96 98 111 112 128 138 147 148 161 168 184 192 196 222 224 256 259 276 294 296 322 336 343 368 384 392 444 448 457 483 512 518 552 588 592 644 672 686 736 768 777 784 851 888 896 914 966 1024 1029 1036 1104 1127 1176 1184 1288 1344 1369 1371 1372 1472 1536 1554 1568 1702 1776 1792 1813 1828 1932 2048 2058 2072 2208 2254 2352 2368 2401 2553 2576 2688 2738 2742 2744 2944 3072 3108 3136 3199 3381 3404 3552 3584 3626 3656 3864 4096 4107 4116 4144 4416 4508 4704 4736 4802 5106 5152 5376 5439 5476 5484 5488 5888 5957 6144 6216 6272 6398 6762 6808 7104 7168 7203 7252 7312 7728 7889 8192 8214 8232 8288 8832 9016 9408 9472 9583 9597 9604 10212 10304 10511 10752 10878 10952 10968 10976 11776 11914 12288 12432 12544 12691 12796 13524 13616 14208 14336 14406 14504 14624 15456 15778 16384 16428 16464 16576 16909 17664 17871 18032 18816 18944 19166 19194 19208 20424 20608 21022 21504 21756 21904 21936 21952 22393 23552 23667 23828 24576 24864 25088 25382 25592 27048 27232 28416 28672 28749 28812 29008 29248 30912 31487 31533 31556 32768 32856 32928 33152 33818 35328 35742 36064 37632 37888 38073 38332 38388 38416 40848 41216 41699 42044 43008 43512 43808 43872 43904 44786 47104 47334 47656 49152 49728 50176 50727 50764 51184 54096 54464 55223 56832 57344 57498 57624 58016 58496 61824 62974 63066 63112 65536 65712 65856 66304 67081 67179 67636 70656 71484 72128 73577 75264 75776 76146 76664 76776 76832 81696 82432 83398 84088 86016 87024 87616 87744 87808 88837 89572 94208 94461 94668 95312 98304 99456 100352 101454 101528 102368 108192 108928 110446 113664 114688 114996 115248 116032 116992 118363 123648 125097 125948 126132 126224 131072 131424 131712 132608 134162 134358 135272 141312 142968 144256 147154 150528 151552 152292 153328 153552 153664 156751 163392 164864 165669 166796 168176 172032 174048 175232 175488 175616 177674 179144 188416 188922 189336 190624 196608 198912 200704 201243 202908 203056 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46208672792576 49222281887744 52453088034816 53067772660224 60648883040256 61195269373952 69313009188864 70757030213632 73833422831616 80865177387008 84381054664704 91792904060928 92417345585152 98444563775488 106135545320448 121297766080512 122390538747904 138626018377728 141514060427264 147666845663232 161730354774016 183585808121856 196889127550976 212271090640896 242595532161024 277252036755456 283028120854528 295333691326464 323460709548032 367171616243712 424542181281792 485191064322048 566056241709056 590667382652928 646921419096064 849084362563584 970382128644096 1132112483418112 1698168725127168 1940764257288192 2264224966836224 3396337450254336 4528449933672448 6792674900508672 13585349801017344
- Sum of all divisors σ(n): 45423666075307968
- Sum of proper divisors (its aliquot sum) s(n): 31838316274290624
- 13585349801017344 is an abundant number, because the sum of its proper divisors (31838316274290624) is greater than itself. Its abundance is 18252966473273280
Bases of 13585349801017344
- Binary: 1100000100001111001101101111010000101000000000000000002
- Hexadecimal: 0x3043CDBD0A0000
- Base-36: 3PRLRJG6S5C
Squares and roots of 13585349801017344
- 13585349801017344 squared (135853498010173442) is 184561729216001988214897388814336
- 13585349801017344 cubed (135853498010173443) is 2507335651280029535242382924847858383858731843584
-
The
square root of 13585349801017344 is 116556208.7621991247 -
The
cube root of 13585349801017344 is 238610.8979525239
Scales and comparisons
How big is 13585349801017344?- 13,585,349,801,017,344 seconds is equal to 431,972,101 years, 22 weeks, 1 day, 4 hours, 22 minutes, 24 seconds.
-
To count from 1 to 13,585,349,801,017,344 would take you about one billion, two hundred ninety-five million, nine hundred sixteen thousand, three hundred 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 13585349801017344 cubic inches would be around 19884.2 feet tall.
Recreational maths with 13585349801017344
- 13585349801017344 backwards is 44371010894358531
- The number of decimal digits it has is: 17
- The sum of 13585349801017344's digits is 66
- More coming soon!
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"Number 13585349801017344 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 13585349801017344 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/13585349801017344/
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The information we have on file for 13585349801017344 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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