13131137606400
13,131,137,606,400 is an even composite number composed of seven prime numbers multiplied together.
13131137606400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, nine hundred sixteen divisors.
Prime factorization of 13131137606400:
28 × 32 × 52 × 112 × 17 × 192 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 17 × 19 × 19 × 307)See below for interesting mathematical facts about the number 13131137606400 from the Numbermatics database.
Names of 13131137606400
- Cardinal: 13131137606400 can be written as Thirteen trillion, one hundred thirty-one billion, one hundred thirty-seven million, six hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.31311376064 × 1013
Factors of 13131137606400
Divisors of 13131137606400
- Number of divisors d(n): 2916
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 19 20 22 24 25 30 32 33 34 36 38 40 44 45 48 50 51 55 57 60 64 66 68 72 75 76 80 85 88 90 95 96 99 100 102 110 114 120 121 128 132 136 144 150 152 153 160 165 170 171 176 180 187 190 192 198 200 204 209 220 225 228 240 242 255 256 264 272 275 285 288 300 304 306 307 320 323 330 340 342 352 360 361 363 374 380 384 396 400 408 418 425 440 450 456 475 480 484 495 510 528 544 550 561 570 576 600 605 608 612 614 627 640 646 660 680 684 704 720 722 726 748 760 765 768 792 800 816 825 836 850 855 880 900 912 921 935 950 960 968 969 990 1020 1045 1056 1083 1088 1089 1100 1122 1140 1152 1200 1210 1216 1224 1228 1254 1275 1280 1292 1320 1360 1368 1408 1425 1440 1444 1452 1496 1520 1530 1535 1584 1600 1615 1632 1650 1672 1683 1700 1710 1760 1800 1805 1815 1824 1842 1870 1881 1900 1920 1936 1938 1980 2040 2057 2090 2112 2166 2176 2178 2200 2244 2280 2299 2304 2400 2420 2432 2448 2456 2475 2508 2550 2584 2640 2720 2736 2763 2805 2816 2850 2880 2888 2904 2907 2992 3025 3040 3060 3070 3135 3168 3200 3230 3249 3264 3300 3344 3366 3377 3400 3420 3520 3553 3600 3610 3630 3648 3684 3740 3762 3800 3825 3840 3872 3876 3960 3971 4080 4114 4180 4224 4275 4332 4352 4356 4400 4488 4560 4598 4605 4675 4800 4840 4845 4864 4896 4912 4950 5016 5100 5168 5219 5225 5280 5415 5440 5445 5472 5526 5610 5700 5760 5776 5808 5814 5833 5984 6050 6080 6120 6137 6140 6171 6270 6336 6400 6460 6498 6528 6600 6688 6732 6754 6800 6840 6897 7040 7106 7200 7220 7260 7296 7368 7480 7524 7600 7650 7675 7744 7752 7920 7942 8075 8160 8228 8360 8415 8448 8550 8664 8712 8800 8976 9025 9075 9120 9196 9210 9350 9405 9600 9680 9690 9792 9824 9900 10032 10131 10200 10285 10336 10438 10450 10560 10659 10830 10880 10890 10944 11052 11220 11400 11495 11520 11552 11616 11628 11666 11913 11968 12100 12160 12240 12274 12280 12342 12540 12672 12920 12996 13056 13200 13376 13464 13508 13600 13680 13794 13815 14025 14080 14212 14400 14440 14520 14535 14592 14736 14960 15048 15200 15300 15350 15488 15504 15657 15675 15840 15884 16150 16245 16320 16456 16720 16830 16885 17100 17328 17424 17499 17600 17765 17952 18050 18150 18240 18392 18411 18420 18513 18700 18810 19200 19360 19380 19584 19648 19800 19855 20064 20262 20400 20570 20672 20691 20876 20900 21120 21318 21660 21760 21780 21888 22104 22440 22800 22990 23025 23104 23232 23256 23332 23826 23936 24200 24225 24320 24480 24548 24560 24684 25080 25344 25840 25992 26095 26400 26752 26928 27016 27075 27200 27225 27360 27588 27630 28050 28424 28800 28880 29040 29070 29165 29472 29920 30096 30393 30400 30600 30685 30700 30855 30976 31008 31314 31350 31680 31768 31977 32300 32490 32640 32912 33440 33660 33770 34200 34485 34656 34848 34998 35200 35530 35739 35904 36100 36300 36480 36784 36822 36840 37026 37147 37400 37620 38720 38760 39083 39168 39296 39600 39710 40128 40524 40800 41140 41344 41382 41752 41800 42075 42240 42636 43320 43560 43681 43776 44208 44880 45600 45980 46050 46208 46464 46512 46664 46971 47025 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2540854800 2574732864 2617850400 2652755072 2673277200 2682013400 2699658225 2710245120 2713044960 2735653668 2808799488 2851495680 2855836800 2879635440 2925832800 2984349456 3014494400 3017265075 3031195200 3071611136 3108697350 3141420480 3191817600 3218416080 3306758400 3315943840 3387806400 3391306200 3419567085 3432977152 3455562528 3490467200 3510999360 3564369600 3599544300 3617393280 3637434240 3647538224 3695788800 3730436820 3839513920 3862099296 3888403200 3901110400 3926775600 3979132608 4023020100 4041593600 4065367680 4103480502 4144929800 4188560640 4277243520 4291221440 4319453160 4340871936 4388749200 4517075200 4521741600 4546792800 4559422780 4607416704 4663046025 4681332480 4752492800 4799392400 4827624120 4973915760 5081709600 5149465728 5235700800 5305510144 5346554400 5364026800 5399316450 5426089920 5471307336 5699278475 5711673600 5759270880 5851665600 5968698912 6028988800 6034530150 6062390400 6217394700 6282840960 6383635200 6436832160 6631887680 6775612800 6782612400 6839134170 6911125056 6980934400 7021998720 7128739200 7199088600 7234786560 7274868480 7295076448 7460873640 7679027840 7724198592 7802220800 7853551200 7958265216 8046040200 8130735360 8206961004 8289859600 8554487040 8582442880 8638906320 8777498400 9043483200 9093585600 9118845560 9214833408 9326092050 9598784800 9655248240 9947831520 10163419200 10258701255 10298931456 10471401600 10693108800 10728053600 10798632900 10852179840 10942614672 11398556950 11518541760 11703331200 11937397824 12057977600 12069060300 12124780800 12434789400 12565681920 12873664320 13263775360 13551225600 13565224800 13678268340 13822250112 14043997440 14257478400 14398177200 14590152896 14921747280 15358055680 15448397184 15707102400 15916530432 16092080400 16413922008 16579719200 17097835425 17164885760 17277812640 17554996800 18086966400 18187171200 18237691120 18652184100 19197569600 19310496480 19895663040 20326838400 20517402510 20942803200 21386217600 21456107200 21597265800 21704359680 21885229344 22797113900 23037083520 23406662400 23874795648 24138120600 24869578800 25747328640 26527550720 27130449600 27356536680 27644500224 28796354400 29180305792 29843494560 30896794368 31414204800 32184160800 32827844016 33159438400 34195670850 34555625280 35109993600 36173932800 36374342400 36475382240 37304368200 38395139200 38620992960 39791326080 40653676800 41034805020 42772435200 42912214400 43194531600 43770458688 45594227800 46074167040 47749591296 48276241200 49739157600 51293506275 51494657280 54260899200 54713073360 57592708800 58360611584 59686989120 62828409600 64368321600 65655688032 66318876800 68391341700 69111250560 70219987200 72950764480 74608736400 76790278400 77241985920 79582652160 82069610040 85824428800 86389063200 87540917376 91188455600 96552482400 99478315200 102587012550 108521798400 109426146720 115185417600 119373978240 128736643200 131311376064 132637753600 136782683400 138222501120 145901528960 149217472800 154483971840 164139220080 172778126400 175081834752 182376911200 193104964800 198956630400 205174025100 218852293440 230370835200 238747956480 257473286400 262622752128 273565366800 291803057920 298434945600 328278440160 345556252800 364753822400 386209929600 397913260800 410348050200 437704586880 525245504256 547130733600 596869891200 656556880320 691112505600 729507644800 772419859200 820696100400 875409173760 1094261467200 1193739782400 1313113760640 1459015289600 1641392200800 2188522934400 2626227521280 3282784401600 4377045868800 6565568803200 13131137606400
- Sum of all divisors σ(n): 57852986687496
- Sum of proper divisors (its aliquot sum) s(n): 44721849081096
- 13131137606400 is an abundant number, because the sum of its proper divisors (44721849081096) is greater than itself. Its abundance is 31590711474696
Bases of 13131137606400
- Binary: 101111110001010101001100101011100011000000002
- Hexadecimal: 0xBF154CAE300
- Base-36: 4NKD0AM80
Squares and roots of 13131137606400
- 13131137606400 squared (131311376064002) is 172426774838212321320960000
- 13131137606400 cubed (131311376064003) is 2264159707428315088245498380550144000000
-
The
square root of 13131137606400 is 3623691.1577009429 -
The
cube root of 13131137606400 is 23592.1461982815
Scales and comparisons
How big is 13131137606400?- 13,131,137,606,400 seconds is equal to 417,529 years, 29 weeks, 8 hours.
-
To count from 1 to 13,131,137,606,400 would take you about one million, forty-three thousand, eight hundred twenty-three 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 13131137606400 cubic inches would be around 1966 feet tall.
Recreational maths with 13131137606400
- 13131137606400 backwards is 00460673113131
- 13131137606400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13131137606400's digits is 36
- More coming soon!
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"Number 13131137606400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 13131137606400 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/13131137606400/
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The information we have on file for 13131137606400 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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