13814074993328640
13,814,074,993,328,640 is an even composite number composed of six prime numbers multiplied together.
What does the number 13814074993328640 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2400 divisors.
13814074993328640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 13814074993328640:
29 × 33 × 5 × 23 × 314 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 23 × 31 × 31 × 31 × 31 × 97 × 97)See below for interesting mathematical facts about the number 13814074993328640 from the Numbermatics database.
Names of 13814074993328640
- Cardinal: 13814074993328640 can be written as Thirteen quadrillion, eight hundred fourteen trillion, seventy-four billion, nine hundred ninety-three million, three hundred twenty-eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.381407499332864 × 1016
Factors of 13814074993328640
Divisors of 13814074993328640
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 31 32 36 40 45 46 48 54 60 62 64 69 72 80 90 92 93 96 97 108 115 120 124 128 135 138 144 155 160 180 184 186 192 194 207 216 230 240 248 256 270 276 279 288 291 310 320 345 360 368 372 384 388 414 432 460 465 480 485 496 512 540 552 558 576 582 620 621 640 690 713 720 736 744 768 776 828 837 864 873 920 930 960 961 970 992 1035 1080 1104 1116 1152 1164 1240 1242 1280 1380 1395 1426 1440 1455 1472 1488 1536 1552 1656 1674 1728 1746 1840 1860 1920 1922 1940 1984 2070 2139 2160 2208 2231 2232 2304 2328 2480 2484 2560 2619 2760 2790 2852 2880 2883 2910 2944 2976 3007 3104 3105 3312 3348 3456 3492 3565 3680 3720 3840 3844 3880 3968 4140 4185 4278 4320 4365 4416 4462 4464 4608 4656 4805 4960 4968 5238 5520 5580 5704 5760 5766 5820 5888 5952 6014 6208 6210 6417 6624 6693 6696 6912 6984 7130 7360 7440 7680 7688 7760 7936 8280 8370 8556 8640 8649 8730 8832 8924 8928 9021 9312 9409 9610 9920 9936 10476 10695 11040 11155 11160 11408 11520 11532 11640 11776 11904 12028 12416 12420 12834 13095 13248 13386 13392 13824 13968 14260 14415 14720 14880 15035 15376 15520 15872 16560 16740 17112 17280 17298 17460 17664 17848 17856 18042 18624 18818 19220 19251 19840 19872 20079 20952 21390 22080 22103 22310 22320 22816 23040 23064 23280 23808 24056 24832 24840 25668 25947 26190 26496 26772 26784 27063 27936 28227 28520 28830 29440 29760 29791 30070 30752 31040 32085 33120 33465 33480 34224 34560 34596 34920 35328 35696 35712 36084 37248 37636 38440 38502 39680 39744 40158 41904 42780 43245 44160 44206 44620 44640 45105 45632 46128 46560 47045 47616 48112 49664 49680 51336 51894 52380 52992 53544 53568 54126 55872 56454 57040 57660 58880 59520 59582 60140 60237 61504 62080 64170 66240 66309 66930 66960 68448 69120 69161 69192 69840 71392 71424 72168 74496 75272 76880 77004 79360 79488 80316 81189 83808 84681 85560 86490 88320 88412 89240 89280 89373 90210 91264 92256 93120 93217 94090 96224 96255 99360 100395 102672 103788 104760 105984 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1796835977280 1798707681423 1856730509856 1876912363224 1937457923328 1977960336960 1998564090470 2063033899840 2063958612480 2085458181360 2152731025920 2224488726784 2225205379080 2296986197760 2320913137320 2346140454030 2373552404352 2395781303040 2398276908564 2421822404160 2475640679808 2502549817632 2637280449280 2780610908480 2785095764784 2874937563648 2966940505440 2997846135705 3094550849760 3095937918720 3128187272040 3164736539136 3197702544752 3229096538880 3300854239744 3336733090176 3481369705980 3560328606528 3593671954560 3597415362846 3713461019712 3753824726448 3874915846656 3955920673920 3997128180940 4126067799680 4170916362720 4448977453568 4450410758160 4593972395520 4641826274640 4692280908060 4747104808704 4791562606080 4796553817128 4843644808320 4951281359616 5005099635264 5274560898560 5396123044269 5561221816960 5570191529568 5933881010880 5995692271410 6189101699520 6191875837440 6256374544080 6395405089504 6458193077760 6673466180352 6962739411960 7120657213056 7187343909120 7194830725692 7426922039424 7507649452896 7911841347840 7994256361880 8252135599360 8341832725440 8900821516320 8993538407115 9283652549280 9384561816120 9494209617408 9593107634256 9687289616640 9902562719232 10010199270528 10792246088538 11122443633920 11140383059136 11867762021760 11991384542820 12378203399040 12512749088160 12790810179008 13346932360704 13925478823920 14241314426112 14374687818240 14389661451384 14853844078848 15015298905792 15823682695680 15988512723760 16504271198720 16683665450880 17801643032640 17987076814230 18567305098560 18769123632240 19186215268512 19374579233280 20020398541056 21584492177076 22244887267840 22280766118272 23735524043520 23982769085640 24756406798080 25025498176320 25581620358016 26980615221345 27850957647840 28482628852224 28779322902768 29707688157696 30030597811584 31977025447520 33367330901760 35603286065280 35974153628460 37134610197120 37538247264480 38372430537024 40040797082112 43168984354152 44561532236544 47471048087040 47965538171280 49512813596160 50050996352640 51163240716032 53961230442690 55701915295680 57558645805536 60061195623168 63954050895040 66734661803520 71206572130560 71948307256920 74269220394240 75076494528960 76744861074048 86337968708304 89123064473088 95931076342560 100101992705280 102326481432064 107922460885380 111403830591360 115117291611072 120122391246336 127908101790080 142413144261120 143896614513840 148538440788480 150152989057920 153489722148096 172675937416608 191862152685120 200203985410560 215844921770760 222807661182720 230234583222144 255816203580160 287793229027680 300305978115840 306979444296192 345351874833216 383724305370240 431689843541520 445615322365440 460469166444288 511632407160320 575586458055360 600611956231680 690703749666432 767448610740480 863379687083040 920938332888576 1151172916110720 1381407499332864 1534897221480960 1726759374166080 2302345832221440 2762814998665728 3453518748332160 4604691664442880 6907037496664320 13814074993328640
- Sum of all divisors σ(n): 53459982262684800
- Sum of proper divisors (its aliquot sum) s(n): 39645907269356160
- 13814074993328640 is an abundant number, because the sum of its proper divisors (39645907269356160) is greater than itself. Its abundance is 25831832276027520
Bases of 13814074993328640
- Binary: 1100010001001111010011111110001110000011000010000000002
- Hexadecimal: 0x3113D3F8E0C200
- Base-36: 3S0OIFY6IO0
Squares and roots of 13814074993328640
- 13814074993328640 squared (138140749933286402) is 190828667921307665260507044249600
- 13814074993328640 cubed (138140749933286403) is 2636121529541951443960043741579956845274988544000
-
The
square root of 13814074993328640 is 117533293.1272183831 -
The
cube root of 13814074993328640 is 239942.5498677403
Scales and comparisons
How big is 13814074993328640?- 13,814,074,993,328,640 seconds is equal to 439,244,855 years, 2 weeks, 3 days, 14 hours, 24 minutes.
-
To count from 1 to 13,814,074,993,328,640 would take you about one billion, three hundred seventeen million, seven hundred thirty-four thousand, five hundred sixty-five 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 13814074993328640 cubic inches would be around 19995.2 feet tall.
Recreational maths with 13814074993328640
- 13814074993328640 backwards is 04682339947041831
- 13814074993328640 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13814074993328640's digits is 72
- More coming soon!
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"Number 13814074993328640 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 13814074993328640 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/13814074993328640/
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The information we have on file for 13814074993328640 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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