47242427017968
47,242,427,017,968 is an even composite number composed of five prime numbers multiplied together.
What does the number 47242427017968 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1500 divisors.
47242427017968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred divisors.
Prime factorization of 47242427017968:
24 × 34 × 73 × 134 × 612
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 13 × 13 × 13 × 61 × 61)See below for interesting mathematical facts about the number 47242427017968 from the Numbermatics database.
Names of 47242427017968
- Cardinal: 47242427017968 can be written as Forty-seven trillion, two hundred forty-two billion, four hundred twenty-seven million, seventeen thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.7242427017968 × 1013
Factors of 47242427017968
Divisors of 47242427017968
- Number of divisors d(n): 1500
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 49 52 54 56 61 63 72 78 81 84 91 98 104 108 112 117 122 126 144 147 156 162 168 169 182 183 189 196 208 216 234 244 252 273 294 312 324 336 338 343 351 364 366 378 392 427 432 441 468 488 504 507 546 549 567 588 624 637 648 676 686 702 728 732 756 784 793 819 854 882 936 976 1008 1014 1029 1053 1092 1098 1134 1176 1183 1274 1281 1296 1323 1352 1372 1404 1456 1464 1512 1521 1586 1638 1647 1708 1764 1872 1911 2028 2058 2106 2184 2196 2197 2268 2352 2366 2379 2457 2548 2562 2646 2704 2744 2808 2928 2989 3024 3042 3087 3172 3276 3294 3416 3528 3549 3721 3822 3843 3969 4056 4116 4212 4368 4392 4394 4459 4536 4563 4732 4758 4914 4941 5096 5124 5292 5488 5551 5616 5733 5978 6084 6174 6344 6552 6588 6591 6832 7056 7098 7137 7371 7442 7644 7686 7938 8112 8232 8281 8424 8784 8788 8918 8967 9072 9126 9261 9464 9516 9828 9882 10192 10248 10309 10584 10647 11102 11163 11466 11529 11956 12168 12348 12688 13104 13176 13182 13377 13689 14196 14274 14742 14884 15288 15372 15379 15876 16464 16562 16653 16848 17199 17576 17836 17934 18252 18522 18928 19032 19656 19764 19773 20496 20618 20923 21168 21294 21411 22204 22326 22932 23058 23912 24336 24696 24843 26047 26352 26364 26754 26901 27378 27783 28392 28548 28561 29484 29768 30576 30744 30758 30927 31752 31941 33124 33306 33489 34398 34587 35152 35672 35868 36504 37044 38064 38857 39312 39528 39546 40131 41236 41846 42588 42822 44408 44652 45864 46116 46137 47824 48373 49392 49686 49959 51597 52094 52728 53508 53802 54756 55566 56784 57096 57122 57967 58968 59319 59536 61488 61516 61854 62769 63504 63882 64233 66248 66612 66978 68796 69174 71344 71736 72163 73008 74088 74529 77714 78141 79056 79092 80262 80703 82472 83692 85176 85644 85683 88816 89304 91728 92232 92274 92781 95823 96746 99372 99918 100467 103194 104188 105456 107016 107604 107653 109512 111132 114192 114244 115934 116571 117936 118638 120393 123032 123708 125538 127764 128466 132496 133224 133956 134017 137592 138348 138411 143472 144326 145119 148176 149058 149877 155428 156282 158184 160524 161406 164944 167384 170352 171288 171366 173901 177957 178608 182329 184464 184548 185562 188307 191646 193492 198744 199836 199927 200934 206388 208376 214032 215208 215306 216489 219024 222264 223587 228488 231868 233142 234423 237276 240786 242109 246064 247416 251076 255528 256932 257049 266448 267912 268034 271999 275184 276696 276822 278343 288652 290238 298116 299754 301401 310856 312564 316368 321048 322812 322959 334768 338611 342576 342732 347802 349713 355914 361179 364658 369096 371124 376614 383292 386984 397488 399672 399854 401868 402051 412776 415233 416752 430416 430612 432978 435357 444528 447174 449631 456976 463736 466284 468846 474552 481572 484218 494832 502152 505141 511056 513864 514098 521703 535824 536068 543998 546987 553392 553644 556686 564921 577304 580476 596232 599508 599781 602802 621712 625128 628849 642096 645624 645918 649467 670761 677222 685464 695604 699426 703269 711828 722358 729316 738192 742248 753228 753571 766584 771147 773968 799344 799708 803736 804102 815997 825552 830466 835029 861224 865956 870714 894348 899262 927472 932568 937692 938119 949104 963144 968436 968877 1004304 1010282 1015833 1027728 1028196 1043406 1049139 1072136 1087996 1093974 1107288 1113372 1129842 1154608 1160952 1192464 1199016 1199562 1205604 1206153 1245699 1250256 1257698 1276303 1291248 1291836 1298934 1306071 1341522 1354444 1370928 1391208 1398852 1399489 1406538 1423656 1444716 1458632 1484496 1506456 1507142 1515423 1533168 1542294 1565109 1599416 1607472 1608204 1631994 1640961 1660932 1670058 1694763 1722448 1731912 1741428 1742221 1788696 1798524 1799343 1865136 1875384 1876238 1886547 1926288 1936872 1937754 1948401 2020564 2031666 2056392 2086812 2098278 2109807 2144272 2175992 2187948 2214576 2226744 2259684 2260713 2313441 2321904 2370277 2398032 2399124 2411208 2412306 2447991 2491398 2515396 2552606 2583672 2597868 2612142 2683044 2708888 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95471649 97564376 98100444 99551634 100763208 101316852 101873538 103380543 105069328 105646632 106275481 108514224 109110456 109709964 109759923 113358609 113773296 114450518 117503568 117557076 118149192 118202994 118852461 122078502 123254404 125439912 127295532 127994958 129552696 130800592 132735512 135089136 135831384 137840724 137903493 139518288 141119901 146279952 146346564 147150666 149327451 151144812 151975278 156742768 157603992 158469948 162771336 163665684 169727376 170659944 170737658 171675777 173686032 176255352 176335614 177304491 183787632 183871324 184881606 188159868 190943298 191992437 195128752 196200888 199103268 201526416 202633704 203747076 206761086 211293264 212550962 215695207 218220912 219419928 219519846 220725999 226717218 228901036 235114152 236298384 236405988 237704922 244157004 246508808 250879824 254591064 255989916 256106487 259105392 264503421 265471024 271662768 275681448 275806986 277322409 282239802 286414947 292693128 294301332 298654902 302289624 303950556 315207984 316939896 318826443 325542672 327331368 329279769 341319888 341475316 343351554 352510704 352671228 354608982 356557383 367742648 369763212 376319736 381886596 383984874 392401776 398206536 400576813 405267408 407494152 413522172 413710479 425101924 431390414 438839856 439039692 441451998 447982353 453434436 457802072 470228304 472811976 475409844 488314008 493017616 509182128 511979832 512212974 515027331 529006842 531913473 551362896 551613972 554644818 564479604 572829894 585386256 588602664 597309804 597581803 604579248 607901112 633879792 637652886 647085621 654662736 658559538 662177997 682950632 686703108 705342456 709217964 713114766 735485296 739526424 743928367 752639472 763773192 767969748 768319461 793510263 796413072 801153626 814988304 827044344 827420958 831967227 850203848 862780828 878079384 882903996 895964706 906868872 915604144 945623952 950819688 956479329 976628016 987839307 1023959664 1024425948 1030054662 1058013684 1063826946 1103227944 1109289636 1128959208 1145659788 1177205328 1194619608 1195163606 1201730439 1215802224 1241131437 1275305772 1294171242 1317119076 1324355994 1343947059 1365901264 1373406216 1410684912 1418435928 1426229532 1479052848 1487856734 1527546384 1535939496 1536638922 1545081993 1587020526 1602307252 1654088688 1654841916 1663934454 1700407696 1725561656 1756158768 1765807992 1791929412 1792745409 1813737744 1901639376 1912958658 1941256863 1975678614 2048851896 2060109324 2116027368 2127653892 2206455888 2218579272 2231785101 2257918416 2291319576 2304958383 2389239216 2390327212 2403460878 2482262874 2495901681 2550611544 2588342484 2634238152 2648711988 2687894118 2746812432 2804037691 2836871856 2852459064 2869437987 2975713468 3071878992 3073277844 3090163986 3174041052 3204614504 3309683832 3327868908 3451123312 3531615984 3583858824 3585490818 3605191317 3723394311 3825917316 3882513726 3951357228 4097703792 4120218648 4232054736 4255307784 4437158544 4463570202 4582639152 4609916766 4635245979 4780654424 4806921756 4964525748 4991803362 5101223088 5176684968 5207498569 5268476304 5297423976 5375788236 5378236227 5608075382 5704918128 5738875974 5823770589 5951426936 6146555688 6180327972 6348082104 6409229008 6619367664 6655737816 6695355303 6914875149 7167717648 7170981636 7210382634 7446788622 7651834632 7765027452 7902714456 8240437296 8412113073 8510615568 8608313961 8927140404 9219833532 9270491958 9561308848 9613843512 9929051496 9983606724 10353369936 10414997138 10594847952 10751576472 10756472454 10815573951 11216150764 11477751948 11647541178 11902853872 12293111376 12360655944 12696164208 13311475632 13390710606 13829750298 14341963272 14420765268 14893577244 15303669264 15530054904 15622495707 15805428912 16134708681 16824226146 17216627922 17471311767 17854280808 18439667064 18540983916 19227687024 19858102992 19967213448 20086065909 20829994276 21503152944 21512944908 21631147902 22432301528 22955503896 23295082356 24721311888 25236339219 26781421212 27659500596 28683926544 28841530536 29787154488 31060109808 31244991414 32269417362 32446721853 33648452292 34433255844 34942623534 35708561616 36452489983 36879334128 37081967832 39934426896 40172131818 41659988552 43025889816 43262295804 44864603056 45911007792 46590164712 46867487121 48404126043 50472678438 53562842424 55319001192 57683061072 59574308976 60258197727 62489982828 64538834724 64893443706 67296904584 68866511688 69885247068 72904979966 74163935664 75709017657 80344263636 83319977104 86051779632 86524591608 93180329424 93734974242 96808252086 100945356876 107125684848 109357469949 110638002384 120516395454 124979965656 129077669448 129786887412 134593809168 137733023376 139770494136 140602461363 145809959932 151418035314 160688527272 173049183216 187469948484 193616504172 201890713752 218714939898 227127052971 241032790908 249959931312 258155338896 259573774824 279540988272 281204922726 291619919864 302836070628 321377054544 328072409847 374939896968 387233008344 403781427504 421807384089 437429879796 454254105942 482065581816 519147549648 562409845452 583239839728 605672141256 656144819694 749879793936 774466016688 843614768178 874859759592 908508211884 964131163632 984217229541 1124819690904 1211344282512 1312289639388 1687229536356 1749719519184 1817016423768 1968434459082 2249639381808 2624579278776 2952651688623 3374459072712 3634032847536 3936868918164 5249158557552 5905303377246 6748918145424 7873737836328 11810606754492 15747475672656 23621213508984 47242427017968
- Sum of all divisors σ(n): 175621524421200
- Sum of proper divisors (its aliquot sum) s(n): 128379097403232
- 47242427017968 is an abundant number, because the sum of its proper divisors (128379097403232) is greater than itself. Its abundance is 81136670385264
Bases of 47242427017968
- Binary: 10101011110111011111000001010010101010111100002
- Hexadecimal: 0x2AF77C14AAF0
- Base-36: GQUVDA700
Squares and roots of 47242427017968
- 47242427017968 squared (472424270179682) is 2231846910548032856994849024
- 47242427017968 cubed (472424270179683) is 105437864786842797528907648766824695263232
-
The
square root of 47242427017968 is 6873312.6669727459 -
The
cube root of 47242427017968 is 36150.2024346645
Scales and comparisons
How big is 47242427017968?- 47,242,427,017,968 seconds is equal to 1,502,163 years, 2 weeks, 3 days, 17 hours, 52 minutes, 48 seconds.
-
To count from 1 to 47,242,427,017,968 would take you about three million, seven hundred fifty-five thousand, four hundred seven 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 47242427017968 cubic inches would be around 3012.5 feet tall.
Recreational maths with 47242427017968
- 47242427017968 backwards is 86971072424274
- 47242427017968 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 47242427017968's digits is 63
- More coming soon!
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"Number 47242427017968 - Facts about the integer". Numbermatics.com. 2024. Web. 14 November 2024.
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Numbermatics. (2024). Number 47242427017968 - Facts about the integer. Retrieved 14 November 2024, from https://numbermatics.com/n/47242427017968/
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The information we have on file for 47242427017968 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 47242427017968, math, Factors of 47242427017968, curriculum, school, college, exams, university, Prime factorization of 47242427017968, STEM, science, technology, engineering, physics, economics, calculator, forty-seven trillion, two hundred forty-two billion, four hundred twenty-seven million, seventeen thousand, nine hundred sixty-eight.