12480332330400
12,480,332,330,400 is an even composite number composed of seven prime numbers multiplied together.
12480332330400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 12480332330400:
25 × 3 × 52 × 113 × 23 × 37 × 4591
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 11 × 23 × 37 × 4591)See below for interesting mathematical facts about the number 12480332330400 from the Numbermatics database.
Names of 12480332330400
- Cardinal: 12480332330400 can be written as Twelve trillion, four hundred eighty billion, three hundred thirty-two million, three hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.24803323304 × 1013
Factors of 12480332330400
Divisors of 12480332330400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 25 30 32 33 37 40 44 46 48 50 55 60 66 69 74 75 80 88 92 96 100 110 111 115 120 121 132 138 148 150 160 165 176 184 185 200 220 222 230 240 242 253 264 275 276 296 300 330 345 352 363 368 370 400 407 440 444 460 480 484 506 528 550 552 555 575 592 600 605 660 690 726 736 740 759 800 814 825 851 880 888 920 925 968 1012 1056 1100 1104 1110 1150 1184 1200 1210 1221 1265 1320 1331 1380 1452 1480 1518 1628 1650 1702 1725 1760 1776 1815 1840 1850 1936 2024 2035 2200 2208 2220 2300 2400 2420 2442 2530 2553 2640 2662 2760 2775 2783 2904 2960 3025 3036 3256 3300 3404 3450 3552 3630 3680 3700 3795 3872 3993 4048 4070 4255 4400 4440 4477 4591 4600 4840 4884 5060 5106 5280 5324 5520 5550 5566 5808 5920 6050 6072 6105 6325 6512 6600 6655 6808 6900 7260 7400 7590 7986 8096 8140 8349 8510 8800 8880 8954 9075 9182 9200 9361 9680 9768 10120 10175 10212 10648 11040 11100 11132 11616 12100 12144 12210 12650 12765 13024 13200 13310 13431 13616 13773 13800 13915 14520 14800 15180 15972 16280 16698 17020 17760 17908 18150 18364 18400 18722 18975 19360 19536 19965 20240 20350 20424 21275 21296 22200 22264 22385 22955 24200 24288 24420 25300 25530 26400 26620 26862 27232 27546 27600 27830 28083 29040 29600 30360 30525 30613 31944 32560 33275 33396 34040 35816 36300 36728 37444 37950 39072 39930 40480 40700 40848 41745 42550 42592 44400 44528 44770 45910 46805 48400 48840 49247 50501 50600 51060 53240 53724 55092 55200 55660 56166 58080 60720 61050 61226 63825 63888 65120 66550 66792 67155 68080 68865 69575 71632 72600 73456 74888 75900 79860 81400 81696 83490 85100 88800 89056 89540 91820 91839 93610 96800 97680 98494 99825 101002 101200 102120 102971 105593 106480 107448 110184 111320 111925 112332 114775 121440 122100 122452 127650 127776 133100 133584 134310 136160 137730 139150 140415 143264 145200 146912 147741 149776 151503 151800 153065 159720 162800 166980 169867 170200 179080 183640 183678 187220 195360 196988 199650 202004 202400 204240 205942 208725 211186 212960 214896 220368 222640 223850 224664 229550 234025 244200 244904 246235 252505 255300 266200 267168 268620 275460 278300 280830 290400 295482 299552 303006 303600 306130 308913 316779 319440 325600 333960 335775 339734 340400 344325 358160 367280 367356 374440 393976 399300 404008 408480 411884 417450 422372 429792 440736 445280 447700 449328 459100 459195 468050 488400 489808 492470 505010 509601 510600 514855 527965 532400 537240 550920 555511 556600 561660 590964 606012 607200 612260 617826 633558 638880 667920 671550 679468 680800 688650 702075 716320 734560 734712 738705 748880 757515 765325 787952 798600 808016 823768 834900 844744 849335 895400 898656 918200 918390 936100 976800 979616 984940 1010020 1019202 1021200 1029710 1055930 1064800 1074480 1101840 1111022 1113200 1123320 1132681 1161523 1181928 1212024 1224520 1231175 1235652 1262525 1267116 1335840 1343100 1358936 1377300 1404150 1469424 1477410 1497760 1515030 1530650 1544565 1575904 1583895 1597200 1616032 1647536 1666533 1669800 1689488 1698670 1790800 1836400 1836780 1868537 1872200 1969880 2020040 2038404 2042400 2059420 2111860 2148960 2203680 2222044 2226400 2246640 2265362 2295975 2323046 2363856 2424048 2449040 2462350 2471304 2525050 2534232 2548005 2574275 2639825 2686200 2717872 2754600 2777555 2808300 2938848 2954820 3030060 3061300 3089130 3167790 3194400 3295072 3333066 3339600 3378976 3397340 3398043 3484569 3581600 3672800 3673560 3693525 3737074 3744400 3787575 3906941 3939760 4040080 4076808 4118840 4223720 4246675 4444088 4493280 4530724 4591950 4646092 4727712 4848096 4898080 4924700 4942608 5050100 5068464 5096010 5148550 5279650 5372400 5435744 5509200 5555110 5605611 5616600 5663405 5807615 5909640 6060120 6110621 6122600 6178260 6335580 6666132 6679200 6794680 6796086 6969138 7347120 7387050 7474148 7488800 7575150 7722825 7813882 7879520 7919475 8080160 8153616 8237680 8332665 8447440 8493350 8888176 9061448 9183900 9292184 9342685 9849400 9885216 10100200 10136928 10192020 10297100 10559300 10744800 11018400 11110220 11211222 11233200 11326810 11615230 11720823 11819280 12120240 12221242 12245200 12356520 12671160 12740025 12776753 13332264 13589360 13592172 13887775 13938276 14694240 14774100 14948296 15150300 15445650 15627764 15838950 16307232 16475360 16665330 16894880 16986700 16990215 17422845 17776352 18122896 18331863 18367800 18584368 18685370 19534705 19698800 20200400 20384040 20553907 20594200 21118600 22220440 22422444 22466400 22653620 23230460 23441646 23638560 24240480 24442484 24490400 24713040 25342320 25480050 25553506 26664528 27178720 27184344 27775550 27876552 28028055 28317025 29038075 29548200 29896592 30300600 30553105 30891300 31255528 31677900 33330660 33973400 33980430 34845690 36245792 36663726 36735600 37168736 37370740 38330259 39069410 39397600 40400800 40768080 41107814 41188400 41663325 42237200 42976351 44440880 44844888 45307240 46460920 46713425 46883292 48884968 49426080 50684640 50960100 51107012 53329056 54368688 55551100 55753104 56056110 56634050 58076150 58604115 59096400 59793184 60601200 61106210 61661721 61782600 62511056 63355800 63883765 66661320 67946800 67960860 69691380 73327452 73471200 74741480 76660518 78138820 81536160 82215628 82376800 83326650 84474400 84951075 85952702 87114225 88881760 89689776 90614480 91659315 92921840 93426850 93766584 97673525 97769936 101920200 102214024 102769535 108737376 111102200 111506208 112112220 113268100 116152300 117208230 118192800 121202400 122212420 123323442 123565200 125022112 126711600 127767530 128929053 133322640 135893600 135921720 139382760 140140275 140544283 146654904 149482960 152765525 153321036 156277640 164431256 166653300 169902150 171905404 174228450 179379552 181228960 183318630 185843680 186853700 187533168 191651295 195347050 195539872 203840400 204428048 205539070 214881755 222204400 224224440 226092977 226536200 232304600 234416460 244424840 246646884 247130400 253423200 255535060 257858106 266645280 271843440 278765520 280280550 281088566 293020575 293309808 298965920 305531050 306642072 308308605 312555280 319418825 328862512 333306600 339804300 343810808 348456900 366637260 373707400 375066336 383302590 390694100 407680800 408856096 411078140 421632849 429763510 444408800 448448880 452185954 453072400 458296575 464609200 468832920 472739861 488849680 493293768 511070120 513847675 515716212 543686880 557531040 560561100 562177132 586041150 586619616 611062100 613284144 616617210 625110560 638837650 644645265 657725024 666613200 678278931 679608600 687621616 696913800 702721415 733274520 747414800 766605180 781388200 822156280 843265698 859527020 896897760 904371908 906144800 916593150 929218400 937665840 945479722 958256475 977699360 986587536 1022140240 1027695350 1031432424 1074408775 1121122200 1124354264 1130464885 1172082300 1222124200 1226568288 1233234420 1277675300 1289290530 1333226400 1356557862 1359217200 1375243232 1393827600 1405442830 1418219583 1466549040 1494829600 1533210360 1541543025 1562776400 1644312560 1686531396 1719054040 1808743816 1833186300 1875331680 1890959444 1916512950 1973175072 2044280480 2055390700 2062864848 2108164245 2148817550 2242244400 2248708528 2260929770 2344164600 2363699305 2444248400 2466468840 2555350600 2578581060 2713115724 2718434400 2787655200 2810885660 2836439166 2933098080 3066420720 3083086050 3125552800 3223226325 3288625120 3373062792 3391394655 3438108080 3513607075 3617487632 3666372600 3781918888 3833025900 4110781400 4125729696 4216328490 4297635100 4484488800 4497417056 4521859540 4688329200 4727398610 4888496800 4932937680 5110701200 5157162120 5200138471 5426231448 5621771320 5652324425 5672878332 6132841440 6166172100 6446452650 6746125584 6782789310 6876216160 7027214150 7091097915 7234975264 7332745200 7563837776 7666051800 8221562800 8432656980 8595270200 9043719080 9376658400 9454797220 9865875360 10221402400 10314324240 10400276942 10540821225 10852462896 11243542640 11304648850 11345756664 11818496525 12332344200 12892905300 13492251168 13565578620 14054428300 14182195830 14665490400 15127675552 15332103600 15600415413 16443125600 16865313960 16956973275 17190540400 18087438160 18909594440 20628648480 20800553884 21081642450 21704925792 22487085280 22609297700 22691513328 23636993050 24664688400 25785810600 26000692355 27131157240 28108856600 28364391660 30664207200 31200830826 33730627920 33913946550 34381080800 35455489575 36174876320 37819188880 41601107768 42163284900 45218595400 45383026656 47273986100 49329376800 51571621200 52001384710 54262314480 56217713200 56728783320 62401661652 67461255840 67827893100 70910979150 75638377760 78002077065 83202215536 84326569800 90437190800 94547972200 103143242400 104002769420 108524628960 112435426400 113457566640 124803323304 130003461775 135655786200 141821958300 156004154130 166404431072 168653139600 180874381600 189095944400 208005538840 226915133280 249606646608 260006923550 271311572400 283643916600 312008308260 337306279200 378191888800 390010385325 416011077680 499213293216 520013847100 542623144800 567287833200 624016616520 780020770650 832022155360 1040027694200 1134575666400 1248033233040 1560041541300 2080055388400 2496066466080 3120083082600 4160110776800 6240166165200 12480332330400
- Sum of all divisors σ(n): 47896086454272
- Sum of proper divisors (its aliquot sum) s(n): 35415754123872
- 12480332330400 is an abundant number, because the sum of its proper divisors (35415754123872) is greater than itself. Its abundance is 22935421793472
Bases of 12480332330400
- Binary: 101101011001110011011100011001110101101000002
- Hexadecimal: 0xB59CDC675A0
- Base-36: 4F9DVMXEO
Squares and roots of 12480332330400
- 12480332330400 squared (124803323304002) is 155758695077227494764160000
- 12480332330400 cubed (124803323304003) is 1943920277913237627700942771198464000000
-
The
square root of 12480332330400 is 3532751.3824779687 -
The
cube root of 12480332330400 is 23195.7658805881
Scales and comparisons
How big is 12480332330400?- 12,480,332,330,400 seconds is equal to 396,835 years, 50 weeks, 20 hours, 40 minutes.
-
To count from 1 to 12,480,332,330,400 would take you about nine hundred ninety-two thousand and eighty-nine 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 12480332330400 cubic inches would be around 1933 feet tall.
Recreational maths with 12480332330400
- 12480332330400 backwards is 00403323308421
- 12480332330400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12480332330400's digits is 33
- More coming soon!
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The information we have on file for 12480332330400 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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