131220342824747904
131,220,342,824,747,904 is an even composite number composed of five prime numbers multiplied together.
What does the number 131220342824747904 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
131220342824747904 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 131220342824747904:
27 × 32 × 72 × 133 × 10193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 13 × 13 × 1019 × 1019 × 1019)See below for interesting mathematical facts about the number 131220342824747904 from the Numbermatics database.
Names of 131220342824747904
- Cardinal: 131220342824747904 can be written as One hundred thirty-one quadrillion, two hundred twenty trillion, three hundred forty-two billion, eight hundred twenty-four million, seven hundred forty-seven thousand, nine hundred four.
Scientific notation
- Scientific notation: 1.31220342824747904 × 1017
Factors of 131220342824747904
Divisors of 131220342824747904
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 56 63 64 72 78 84 91 96 98 104 112 117 126 128 144 147 156 168 169 182 192 196 208 224 234 252 273 288 294 312 336 338 364 384 392 416 441 448 468 504 507 546 576 588 624 637 672 676 728 784 819 832 882 896 936 1008 1014 1019 1092 1152 1176 1183 1248 1274 1344 1352 1456 1521 1568 1638 1664 1764 1872 1911 2016 2028 2038 2184 2197 2352 2366 2496 2548 2688 2704 2912 3042 3057 3136 3276 3528 3549 3744 3822 4032 4056 4076 4368 4394 4704 4732 4992 5096 5408 5733 5824 6084 6114 6272 6552 6591 7056 7098 7133 7488 7644 8064 8112 8152 8281 8736 8788 9171 9408 9464 10192 10647 10816 11466 11648 12168 12228 13104 13182 13247 14112 14196 14266 14976 15288 15379 16224 16304 16562 17472 17576 18342 18816 18928 19773 20384 21294 21399 21632 22932 24336 24456 24843 26208 26364 26494 28224 28392 28532 30576 30758 32448 32608 33124 34944 35152 36684 37856 39546 39741 40768 42588 42798 45864 46137 48672 48912 49686 49931 52416 52728 52988 56448 56784 57064 61152 61516 64197 64896 65216 66248 70304 73368 74529 75712 79092 79482 81536 85176 85596 91728 92274 92729 97344 97824 99372 99862 104832 105456 105976 107653 113568 114128 119223 122304 123032 128394 130432 132496 138411 140608 146736 149058 149793 151424 158184 158964 170352 171192 172211 183456 184548 185458 194688 195648 198744 199724 210912 211952 215306 227136 228256 238446 244608 246064 256788 264992 276822 278187 281216 293472 298116 299586 316368 317928 322959 340704 342384 344422 366912 369096 370916 391296 397488 399448 421824 423904 430612 449379 454272 456512 476892 492128 513576 516633 529984 553644 556374 586944 596232 599172 632736 635856 645918 649103 681408 684768 688844 733824 738192 741832 794976 798896 834561 843648 847808 861224 898758 913024 953784 968877 984256 1027152 1033266 1038361 1059968 1107288 1112748 1173888 1192464 1198344 1205477 1265472 1271712 1291836 1298206 1362816 1369536 1377688 1476384 1483664 1549899 1589952 1597792 1669122 1695616 1722448 1797516 1907568 1937754 1947309 1968512 2054304 2066532 2076722 2214576 2225496 2238743 2384928 2396688 2410954 2530944 2543424 2583672 2596412 2739072 2755376 2952768 2967328 3099798 3115083 3179904 3195584 3338244 3444896 3595032 3616431 3815136 3875508 3894618 4108608 4133064 4153444 4429152 4450992 4477486 4769856 4793376 4821908 5086848 5167344 5192824 5510752 5841927 5905536 5934656 6199596 6230166 6391168 6676488 6716229 6889792 7190064 7232862 7268527 7630272 7751016 7789236 8217216 8266128 8306888 8438339 8858304 8901984 8954972 9345249 9539712 9586752 9643816 10334688 10385648 10849293 11021504 11683854 11869312 12399192 12460332 13352976 13432458 13498693 13779584 14380128 14465724 14537054 15260544 15502032 15578472 15671201 16532256 16613776 16876678 17716608 17803968 17909944 18690498 19173504 19287632 20148687 20669376 20771296 21698586 21805581 22043008 23367708 24798384 24920664 25315017 26705952 26864916 26997386 28760256 28931448 29074108 31004064 31156944 31342402 33064512 33227552 33753356 35607936 35819888 37380996 38575264 40297374 40496079 41338752 41542592 43397172 43611162 46735416 47013603 49596768 49841328 50630034 50879689 53411904 53729832 53994772 57520512 57862896 58148216 62008128 62313888 62684804 65416743 66129024 66455104 67506712 71639776 74761992 75945051 77150528 80594748 80992158 83085184 86794344 87222324 93470832 94027206 94490851 99193536 99682656 101260068 101759378 106823808 107459664 107989544 109698407 115725792 116296432 121488237 124016256 124627776 125369608 130833486 132910208 135013424 141040809 143279552 149523984 151890102 152639067 154301056 161189496 161984316 173588688 174444648 175483009 186941664 188054412 188981702 198387072 199365312 202520136 203518756 214919328 215979088 219396814 231451584 232592864 242976474 249255552 250739216 261666972 270026848 282081618 283472553 286559104 299047968 303780204 305278134 322378992 323968632 329095221 347177376 348889296 350966018 373883328 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1244313674184 1251720303197 1314016771392 1320496144032 1341392120796 1348006480366 1415094984576 1422072770496 1430537489368 1533019566624 1540578834704 1609354675539 1650944148672 1659084898912 1733151189042 1760661525376 1788522827728 1866470511276 1980744216048 2012088181194 2022009720549 2044026088832 2133109155744 2145806234052 2299529349936 2310868252056 2324623420223 2476416223008 2488627348368 2503440606394 2628033542784 2640992288064 2682784241592 2696012960732 2844145540992 2861074978736 3066039133248 3081157669408 3218709351078 3301888297344 3318169797824 3466302378084 3577045655456 3732941022552 3755160909591 3961488432096 4024176362388 4044019441098 4266218311488 4291612468104 4599058699872 4621736504112 4649246840446 4952832446016 4977254696736 5006881212788 5281984576128 5365568483184 5392025921464 5722149957472 6066029161647 6132078266496 6162315338816 6437418702156 6636339595648 6932604756168 6973870260669 7154091310912 7465882045104 7510321819182 7922976864192 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64704311057568 65089455766244 68665799489664 70096336979032 74387949447136 78858379101411 80110099404608 83686443128028 86272414743424 90123861830184 97056466586352 97634183649366 102998699234496 105144505468548 110921676098688 111581924170704 113906547590927 120165149106912 128773643596416 129408622115136 130178911532488 140192673958064 146451275474049 148775898894272 157716758202822 160220198809216 167372886256056 180247723660368 194112933172704 195268367298732 205997398468992 210289010937096 223163848341408 227813095181854 240330298213824 258817244230272 260357823064976 280385347916128 292902550948098 297551797788544 315433516405644 334745772512112 341719642772781 360495447320736 388225866345408 390536734597464 420578021874192 446327696682816 455626190363708 480660596427648 520715646129952 560770695832256 585805101896196 630867032811288 669491545024224 683439285545562 720990894641472 776451732690816 781073469194928 841156043748384 892655393365632 911252380727416 1025158928318343 1041431292259904 1121541391664512 1171610203792392 1261734065622576 1338983090048448 1366878571091124 1441981789282944 1562146938389856 1682312087496768 1822504761454832 2050317856636686 2082862584519808 2343220407584784 2523468131245152 2677966180096896 2733757142182248 3124293876779712 3364624174993536 3645009522909664 4100635713273372 4686440815169568 5046936262490304 5467514284364496 6248587753559424 7290019045819328 8201271426546744 9372881630339136 10093872524980608 10935028568728992 14580038091638656 16402542853093488 18745763260678272 21870057137457984 32805085706186976 43740114274915968 65610171412373952 131220342824747904
- Sum of all divisors σ(n): 476304081995196000
- Sum of proper divisors (its aliquot sum) s(n): 345083739170448096
- 131220342824747904 is an abundant number, because the sum of its proper divisors (345083739170448096) is greater than itself. Its abundance is 213863396345700192
Bases of 131220342824747904
- Binary: 1110100100011000000110100111000010101111111000011100000002
- Hexadecimal: 0x1D23034E15FC380
- Base-36: ZW1Q9AL04G0
Squares and roots of 131220342824747904
- 131220342824747904 squared (1312203428247479042) is 17218778371044368733535441152393216
- 131220342824747904 cubed (1312203428247479043) is 2259454000871796333348004861124401522151521479819264
-
The
square root of 131220342824747904 is 362243485.5518424695 -
The
cube root of 131220342824747904 is 508159.8981336957
Scales and comparisons
How big is 131220342824747904?- 131,220,342,824,747,904 seconds is equal to 4,172,401,010 years, 34 weeks, 1 day, 38 minutes, 24 seconds.
-
To count from 1 to 131,220,342,824,747,904 would take you about twelve billion, five hundred seventeen million, two hundred three thousand and thirty-one 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 131220342824747904 cubic inches would be around 42346.7 feet tall.
Recreational maths with 131220342824747904
- 131220342824747904 backwards is 409747428243022131
- 131220342824747904 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 131220342824747904's digits is 63
- More coming soon!
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"Number 131220342824747904 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 131220342824747904 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/131220342824747904/
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The information we have on file for 131220342824747904 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!
Keywords: Divisors of 131220342824747904, math, Factors of 131220342824747904, curriculum, school, college, exams, university, Prime factorization of 131220342824747904, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one quadrillion, two hundred twenty trillion, three hundred forty-two billion, eight hundred twenty-four million, seven hundred forty-seven thousand, nine hundred four.