13931628110400
13,931,628,110,400 is an even composite number composed of eight prime numbers multiplied together.
13931628110400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 13931628110400:
26 × 3 × 52 × 7 × 113 × 13 × 31 × 773
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 11 × 11 × 13 × 31 × 773)See below for interesting mathematical facts about the number 13931628110400 from the Numbermatics database.
Names of 13931628110400
- Cardinal: 13931628110400 can be written as Thirteen trillion, nine hundred thirty-one billion, six hundred twenty-eight million, one hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 1.39316281104 × 1013
Factors of 13931628110400
Divisors of 13931628110400
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 25 26 28 30 31 32 33 35 39 40 42 44 48 50 52 55 56 60 62 64 65 66 70 75 77 78 80 84 88 91 93 96 100 104 105 110 112 120 121 124 130 132 140 143 150 154 155 156 160 165 168 175 176 182 186 192 195 200 208 210 217 220 224 231 240 242 248 260 264 273 275 280 286 300 308 310 312 320 325 330 336 341 350 352 363 364 372 385 390 400 403 416 420 429 434 440 448 455 462 465 480 484 496 520 525 528 546 550 560 572 600 605 616 620 624 650 651 660 672 682 700 704 715 726 728 744 770 773 775 780 800 806 825 832 840 847 858 868 880 910 924 930 960 968 975 992 1001 1023 1040 1050 1056 1085 1092 1100 1120 1144 1155 1200 1209 1210 1232 1240 1248 1300 1302 1320 1331 1344 1364 1365 1400 1430 1452 1456 1488 1540 1546 1550 1560 1573 1600 1612 1650 1680 1694 1705 1716 1736 1760 1815 1820 1848 1860 1925 1936 1950 1984 2002 2015 2046 2080 2100 2112 2145 2170 2184 2200 2240 2275 2288 2310 2319 2325 2387 2400 2418 2420 2464 2480 2496 2541 2600 2604 2640 2662 2728 2730 2800 2821 2860 2904 2912 2976 3003 3025 3080 3092 3100 3120 3146 3224 3255 3300 3360 3388 3410 3432 3472 3520 3575 3630 3640 3696 3720 3751 3850 3865 3872 3900 3993 4004 4030 4092 4160 4200 4235 4290 4340 4368 4400 4433 4550 4576 4620 4638 4650 4719 4774 4800 4836 4840 4928 4960 5005 5082 5115 5200 5208 5280 5324 5411 5425 5456 5460 5600 5642 5720 5775 5808 5824 5952 6006 6045 6050 6160 6184 6200 6240 6292 6448 6510 6600 6655 6720 6776 6820 6825 6864 6944 7150 7161 7260 7280 7392 7440 7502 7700 7730 7744 7800 7865 7986 8008 8060 8184 8400 8463 8470 8503 8525 8580 8680 8736 8800 8866 9075 9100 9152 9240 9276 9300 9317 9438 9548 9672 9680 9920 10010 10049 10075 10164 10230 10400 10416 10560 10648 10725 10822 10850 10912 10920 11011 11200 11253 11284 11440 11550 11595 11616 11935 12012 12090 12100 12320 12368 12400 12480 12584 12705 12896 13020 13200 13299 13310 13552 13640 13650 13728 13888 14105 14300 14322 14520 14560 14784 14880 15004 15015 15400 15460 15600 15730 15972 16016 16120 16233 16275 16368 16800 16926 16940 17006 17050 17160 17303 17360 17472 17600 17732 18150 18200 18480 18552 18600 18634 18755 18876 19096 19325 19344 19360 19965 20020 20098 20150 20328 20460 20800 20832 21175 21296 21450 21644 21700 21824 21840 22022 22165 22506 22568 22880 23100 23190 23232 23595 23870 23963 24024 24180 24200 24640 24736 24800 25025 25168 25410 25509 25575 25792 26040 26257 26400 26598 26620 27055 27104 27280 27300 27456 27951 28210 28600 28644 29040 29120 29760 30008 30030 30147 30225 30800 30920 31031 31200 31460 31944 32032 32240 32466 32550 32736 33033 33275 33600 33852 33880 34012 34100 34320 34606 34720 35464 35805 36300 36400 36960 37104 37200 37268 37510 37752 38192 38650 38688 38720 39325 39930 40040 40196 40300 40656 40920 41261 41664 42315 42350 42515 42592 42900 43288 43400 43680 44044 44330 45012 45136 45760 46200 46380 46585 47190 47740 47926 48048 48360 48400 48763 49472 49600 50050 50245 50336 50820 51018 51150 51909 52080 52514 52800 53196 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20731589450 21108527440 21400350400 21433274016 22326327100 22470367920 22616279400 23027484480 23219380184 24355993200 24877907340 25330232928 25515802400 26385659300 26536434496 26791592520 28087959900 28784355600 29024225230 29960490560 30155039200 30618962880 31097384175 31662791160 32100525600 32474657600 33170543120 33489490650 34569796800 34829070276 35722123360 36186047040 37450613200 38273703600 38379140800 39578488950 39804651744 40855214400 41463178900 42217054880 42866548032 43536337845 44652654200 44940735840 45232558800 46438760368 48711986400 49755814680 50660465856 51031604800 52771318600 53583185040 56175919800 57568711200 58048450460 60310078400 62194768350 63325582320 64201051200 66341086240 66978981300 69658140552 71444246720 72560563075 74901226400 76547407200 79156977900 79609303488 82926357800 84434109760 87072675690 89305308400 89881471680 90465117600 92877520736 97423972800 99511629360 105542637200 107166370080 112351839600 115137422400 116096900920 124389536700 126651164640 132682172480 133957962600 139316281104 145121126150 149802452800 153094814400 158313955800 165852715600 174145351380 178610616800 180930235200 185755041472 199023258720 211085274400 214332740160 217681689225 224703679200 232193801840 248779073400 253302329280 267915925200 278632562208 290242252300 316627911600 331705431200 348290702760 357221233600 398046517440 422170548800 435363378450 449407358400 464387603680 497558146800 535831850400 557265124416 580484504600 633255823200 663410862400 696581405520 870726756900 928775207360 995116293600 1071663700800 1160969009200 1266511646400 1393162811040 1741453513800 1990232587200 2321938018400 2786325622080 3482907027600 4643876036800 6965814055200 13931628110400
- Sum of all divisors σ(n): 63955138609152
- Sum of proper divisors (its aliquot sum) s(n): 50023510498752
- 13931628110400 is an abundant number, because the sum of its proper divisors (50023510498752) is greater than itself. Its abundance is 36091882388352
Bases of 13931628110400
- Binary: 110010101011101101011011111010100010010000002
- Hexadecimal: 0xCABB5BEA240
- Base-36: 4XS3NO85C
Squares and roots of 13931628110400
- 13931628110400 squared (139316281104002) is 194090261806487474588160000
- 13931628110400 cubed (139316281104003) is 2703993347338156386057915519012864000000
-
The
square root of 13931628110400 is 3732509.6262970307 -
The
cube root of 13931628110400 is 24062.1238402149
Scales and comparisons
How big is 13931628110400?- 13,931,628,110,400 seconds is equal to 442,982 years, 35 weeks, 2 days, 17 hours, 20 minutes.
-
To count from 1 to 13,931,628,110,400 would take you about one million, one hundred seven thousand, four hundred fifty-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 13931628110400 cubic inches would be around 2005.2 feet tall.
Recreational maths with 13931628110400
- 13931628110400 backwards is 00401182613931
- 13931628110400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13931628110400's digits is 39
- More coming soon!
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"Number 13931628110400 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 13931628110400 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/13931628110400/
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The information we have on file for 13931628110400 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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