131132069510400
131,132,069,510,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 131132069510400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
131132069510400 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 131132069510400:
28 × 34 × 52 × 7 × 313 × 1213
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 31 × 31 × 31 × 1213)See below for interesting mathematical facts about the number 131132069510400 from the Numbermatics database.
Names of 131132069510400
- Cardinal: 131132069510400 can be written as One hundred thirty-one trillion, one hundred thirty-two billion, sixty-nine million, five hundred ten thousand, four hundred.
Scientific notation
- Scientific notation: 1.311320695104 × 1014
Factors of 131132069510400
Divisors of 131132069510400
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 31 32 35 36 40 42 45 48 50 54 56 60 62 63 64 70 72 75 80 81 84 90 93 96 100 105 108 112 120 124 126 128 135 140 144 150 155 160 162 168 175 180 186 189 192 200 210 216 217 224 225 240 248 252 256 270 279 280 288 300 310 315 320 324 336 350 360 372 378 384 400 405 420 432 434 448 450 465 480 496 504 525 540 558 560 567 576 600 620 630 640 648 651 672 675 700 720 744 756 768 775 800 810 837 840 864 868 896 900 930 945 960 961 992 1008 1050 1080 1085 1116 1120 1134 1152 1200 1213 1240 1260 1280 1296 1302 1344 1350 1395 1400 1440 1488 1512 1550 1575 1600 1620 1674 1680 1728 1736 1792 1800 1860 1890 1920 1922 1953 1984 2016 2025 2100 2160 2170 2232 2240 2268 2304 2325 2400 2426 2480 2511 2520 2592 2604 2688 2700 2790 2800 2835 2880 2883 2976 3024 3100 3150 3200 3240 3255 3348 3360 3456 3472 3600 3639 3720 3780 3840 3844 3906 3968 4032 4050 4185 4200 4320 4340 4464 4480 4536 4650 4725 4800 4805 4852 4960 5022 5040 5184 5208 5376 5400 5425 5580 5600 5670 5760 5766 5859 5952 6048 6065 6200 6300 6400 6480 6510 6696 6720 6727 6912 6944 6975 7200 7278 7440 7560 7688 7812 7936 8064 8100 8370 8400 8491 8640 8649 8680 8928 8960 9072 9300 9450 9600 9610 9704 9765 9920 10044 10080 10368 10416 10800 10850 10917 11160 11200 11340 11520 11532 11718 11904 12096 12130 12400 12555 12600 12960 13020 13392 13440 13454 13888 13950 14175 14400 14415 14556 14880 15120 15376 15624 16128 16200 16275 16740 16800 16982 17280 17298 17360 17577 17856 18144 18195 18600 18900 19200 19220 19408 19530 19840 20088 20160 20181 20736 20832 20925 21600 21700 21834 22320 22400 22680 23064 23436 23808 24025 24192 24260 24800 25110 25200 25473 25920 25947 26040 26784 26880 26908 27776 27900 28350 28800 28830 29112 29295 29760 29791 30240 30325 30752 31248 32400 32550 32751 33480 33600 33635 33964 34560 34596 34720 35154 35712 36288 36390 37200 37603 37800 38440 38816 39060 39680 40176 40320 40362 41664 41850 42455 43200 43245 43400 43668 44640 44800 45360 46128 46872 48050 48384 48520 48825 49600 50220 50400 50946 51840 51894 52080 53568 53816 54585 55552 55800 56700 57600 57660 58224 58590 59520 59582 60480 60543 60650 61504 62496 62775 64800 65100 65502 66960 67200 67270 67928 69192 69440 70308 71424 72075 72576 72780 74400 75206 75600 76419 76880 77632 77841 78120 80352 80640 80724 83328 83700 84910 86400 86490 86800 87336 87885 89280 89373 90720 90975 92256 93744 96100 97040 97650 98253 99200 100440 100800 100905 101892 103680 103788 104160 107136 107632 109170 111600 112809 113400 115320 116448 117180 119040 119164 120960 121086 121300 123008 124992 125550 127365 129600 129735 130200 131004 133920 134400 134540 135856 138384 138880 140616 144150 145152 145560 146475 148800 148955 150412 151200 152838 153760 155264 155682 156240 160704 161448 163755 166656 167400 168175 169820 172800 172980 173600 174672 175770 178560 178746 181440 181629 181950 184512 187488 188015 192200 194080 195300 196506 198400 200880 201600 201810 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1865108800 1888422660 1895191200 1930456800 1949339520 1951370082 1958364240 2001955200 2014317504 2023643048 2088921856 2098247400 2132090100 2162111616 2165932800 2168188980 2200867200 2203159770 2238130560 2252199600 2274229440 2276598429 2312734912 2350037088 2360528325 2402346240 2436674400 2447955300 2517896880 2526921600 2529553810 2573942400 2601826776 2611152320 2643791724 2685756672 2702639520 2710236225 2729075328 2797663200 2842786800 2890918640 2927055123 2937546360 3002932800 3021476256 3032305920 3035464572 3088730880 3133382784 3147371100 3248899200 3252283470 3263940400 3304739655 3357195840 3378299400 3411344160 3469102368 3487276800 3525055632 3603519360 3613648300 3671932950 3730217600 3776845320 3790382400 3794330715 3860913600 3898679040 3902740164 3916728480 4003910400 4028635008 4047286096 4196494800 4264180200 4324223232 4336377960 4401734400 4406319540 4476261120 4504399200 4548458880 4553196858 4625469824 4700074176 4721056650 4873348800 4878425205 4895910600 5035793760 5053843200 5059107620 5147884800 5203653552 5222304640 5287583448 5405279040 5420472450 5458150656 5507899425 5595326400 5685573600 5781837280 5854110246 5875092720 6005865600 6042952512 6070929144 6266765568 6294742200 6323884525 6497798400 6504566940 6527880800 6609479310 6714391680 6756598800 6822688320 6829795287 6938204736 7050111264 7207038720 7227296600 7343865900 7460435200 7553690640 7580764800 7588661430 7721827200 7805480328 7833456960 8057270016 8094572192 8130708675 8392989600 8528360400 8672755920 8812639080 9008798400 9096917760 9106393716 9250939648 9400148352 9442113300 9746697600 9756850410 9791821200 10071587520 10118215240 10407307104 10444609280 10575166896 10810558080 10840944900 11015798850 11190652800 11371147200 11382992145 11563674560 11708220492 11750185440 12011731200 12085905024 12141858288 12589484400 12647769050 13009133880 13055761600 13218958620 13428783360 13513197600 13645376640 13659590574 13876409472 14100222528 14454593200 14635275615 14687731800 15107381280 15161529600 15177322860 15443654400 15610960656 15666913920 16189144384 16261417350 16523698275 16785979200 17056720800 17345511840 17625278160 18017596800 18212787432 18800296704 18884226600 18971653575 19493395200 19513700820 19583642400 20143175040 20236430480 20489385861 20814614208 21150333792 21621116160 21681889800 22031597700 22381305600 22742294400 22765984290 23127349120 23416440984 23500370880 24171810048 24283716576 24392126025 25178968800 25295538100 26018267760 26111523200 26437917240 27026395200 27290753280 27319181148 27752818944 28200445056 28909186400 29270551230 29375463600 30214762560 30354645720 31221921312 31333827840 32378288768 32522834700 33047396550 33571958400 34113441600 34148976435 34691023680 35250556320 36035193600 36425574864 37768453200 37943307150 39027401640 39167284800 40286350080 40472860960 40978771722 41629228416 42300667584 43363779600 44063195400 45484588800 45531968580 46254698240 46832881968 47000741760 48567433152 48784252050 50357937600 50591076200 52036535520 52223046400 52875834480 54052790400 54638362296 56400890112 56914960725 57818372800 58541102460 58750927200 60429525120 60709291440 62443842624 64756577536 65045669400 66094793100 67143916800 68226883200 68297952870 69382047360 70501112640 72851149728 73176378075 75536906400 75886614300 78054803280 78334569600 80945721920 81957543444 83258456832 84601335168 86727559200 88126390800 91063937160 93665763936 94001483520 97134866304 97568504100 100715875200 101182152400 102446929305 104073071040 105751668960 108105580800 109276724592 113829921450 115636745600 117082204920 117501854400 120859050240 121418582880 124887685248 130091338800 132189586200 136453766400 136595905740 138764094720 141002225280 145702299456 146352756150 151073812800 151773228600 156109606560 156669139200 161891443840 163915086888 169202670336 170744882175 173455118400 176252781600 182127874320 187331527872 194269732608 195137008200 201431750400 202364304800 204893858610 208146142080 211503337920 218553449184 227659842900 231273491200 234164409840 235003708800 242837165760 249775370496 260182677600 264379172400 273191811480 282004450560 291404598912 292705512300 302147625600 303546457200 312219213120 323782887680 327830173776 341489764350 346910236800 352505563200 364255748640 374663055744 390274016400 404728609600 409787717220 416292284160 423006675840 437106898368 455319685800 468328819680 470007417600 485674331520 512234646525 520365355200 528758344800 546383622960 582809197824 585411024600 604295251200 607092914400 624438426240 655660347552 682979528700 693820473600 705011126400 728511497280 749326111488 780548032800 809457219200 819575434440 846013351680 874213796736 910639371600 936657639360 971348663040 1024469293050 1040730710400 1057516689600 1092767245920 1170822049200 1214185828800 1248876852480 1311320695104 1365959057400 1410022252800 1457022994560 1561096065600 1618914438400 1639150868880 1748427593472 1821278743200 1873315278720 2048938586100 2081461420800 2115033379200 2185534491840 2341644098400 2428371657600 2622641390208 2731918114800 2914045989120 3122192131200 3278301737760 3642557486400 3746630557440 4097877172200 4230066758400 4371068983680 4683288196800 4856743315200 5245282780416 5463836229600 6244384262400 6556603475520 7285114972800 8195754344400 8742137967360 9366576393600 10927672459200 13113206951040 14570229945600 16391508688800 18733152787200 21855344918400 26226413902080 32783017377600 43710689836800 65566034755200 131132069510400
- Sum of all divisors σ(n): 573062101900288
- Sum of proper divisors (its aliquot sum) s(n): 441930032389888
- 131132069510400 is an abundant number, because the sum of its proper divisors (441930032389888) is greater than itself. Its abundance is 310797962879488
Bases of 131132069510400
- Binary: 111011101000011100100000110101111111101000000002
- Hexadecimal: 0x7743906BFD00
- Base-36: 1AHD8OGG00
Squares and roots of 131132069510400
- 131132069510400 squared (1311320695104002) is 17195619654080377295708160000
- 131132069510400 cubed (1311320695104003) is 2254897191753268438529460412712484864000000
-
The
square root of 131132069510400 is 11451291.1721953869 -
The
cube root of 131132069510400 is 50804.5924390993
Scales and comparisons
How big is 131132069510400?- 131,132,069,510,400 seconds is equal to 4,169,594 years, 10 weeks.
-
To count from 1 to 131,132,069,510,400 would take you about ten million, four hundred twenty-three thousand, nine hundred eighty-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 131132069510400 cubic inches would be around 4233.7 feet tall.
Recreational maths with 131132069510400
- 131132069510400 backwards is 004015960231131
- 131132069510400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131132069510400's digits is 36
- More coming soon!
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"Number 131132069510400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 131132069510400 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/131132069510400/
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Numbermatics. 2024. "Number 131132069510400 - Facts about the integer". https://numbermatics.com/n/131132069510400/
The information we have on file for 131132069510400 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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