40828824053506080
40,828,824,053,506,080 is an even composite number composed of eight prime numbers multiplied together.
What does the number 40828824053506080 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2592 divisors.
40828824053506080 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 40828824053506080:
25 × 32 × 5 × 192 × 31 × 372 × 1063 × 1741
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 19 × 19 × 31 × 37 × 37 × 1063 × 1741)See below for interesting mathematical facts about the number 40828824053506080 from the Numbermatics database.
Names of 40828824053506080
- Cardinal: 40828824053506080 can be written as Forty quadrillion, eight hundred twenty-eight trillion, eight hundred twenty-four billion, fifty-three million, five hundred six thousand and eighty.
Scientific notation
- Scientific notation: 4.082882405350608 × 1016
Factors of 40828824053506080
Divisors of 40828824053506080
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 31 32 36 37 38 40 45 48 57 60 62 72 74 76 80 90 93 95 96 111 114 120 124 144 148 152 155 160 171 180 185 186 190 222 228 240 248 279 285 288 296 304 310 333 342 360 361 370 372 380 444 456 465 480 496 555 558 570 589 592 608 620 666 684 703 720 722 740 744 760 855 888 912 930 992 1063 1083 1110 1116 1140 1147 1178 1184 1240 1332 1368 1369 1395 1406 1440 1444 1480 1488 1520 1665 1710 1741 1767 1776 1805 1824 1860 2109 2126 2166 2220 2232 2280 2294 2356 2480 2664 2736 2738 2790 2812 2888 2945 2960 2976 3040 3189 3249 3330 3420 3441 3482 3515 3534 3552 3610 3720 4107 4218 4252 4332 4440 4464 4560 4588 4712 4960 5223 5301 5315 5328 5415 5472 5476 5580 5624 5735 5776 5890 5920 6327 6378 6498 6660 6840 6845 6882 6964 7030 7068 7220 7440 8214 8436 8504 8664 8705 8835 8880 8928 9120 9176 9424 9567 10323 10446 10545 10602 10630 10656 10830 10952 11160 11191 11248 11470 11552 11780 12321 12654 12756 12996 13320 13357 13680 13690 13764 13928 14060 14136 14440 14880 15669 15945 16245 16428 16872 17008 17205 17328 17410 17670 17760 18352 18848 19134 20197 20535 20646 20892 21090 21204 21260 21660 21793 21904 22320 22382 22496 22940 23560 24642 25308 25512 25992 26011 26115 26505 26640 26714 27360 27380 27528 27856 28120 28272 28880 31338 31635 31890 32490 32856 32953 33079 33573 33744 34016 34410 34656 34820 35340 36704 38268 39331 40071 40394 41070 41292 41784 42180 42408 42439 42520 43320 43586 43808 44640 44764 45880 47120 47835 49284 50616 51024 51615 51984 52022 52230 53010 53280 53428 53971 54760 55056 55712 55955 56240 56544 57760 60591 61605 62676 63270 63780 64417 64980 65379 65712 65906 66158 66785 67146 67488 68820 69640 70680 76536 78033 78345 78662 80142 80788 82140 82584 83568 84360 84816 84878 85040 86640 87172 89528 91760 94240 95670 98568 98859 99237 100719 100985 101232 102048 103230 103968 104044 104460 106020 106856 107942 108965 109520 110112 111910 112480 117993 120213 121182 123210 125352 126540 127317 127560 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339637344160 346027510560 362987411571 364836243888 370793592465 372797882154 374696682912 378247800240 382092012180 385104924104 390856060248 392418823320 392705679185 395513165296 400094309085 403319346190 404305828128 405373604320 411427431840 413000577120 414219869060 426767263024 433243039617 444952310958 456045304860 468370853640 471246815022 480113170902 481029525360 481381155130 483983215428 488570075310 494391456620 497063842872 505382285160 509456016240 519041265840 521141413664 523225097760 533459078780 577657386156 586284090372 593269747944 604979019285 608060406480 611347219488 617141147760 619500865680 621329803590 624494471520 628329086696 633820638240 640150894536 645310953904 651426767080 662751790496 673843046880 706870222533 722071732695 725974823142 729672487776 732855112965 741587184930 745595764308 756495600480 764184024360 766306757761 770209848208 781712120496 784837646640 785411358370 791026330592 800188618170 806638692380 828439738120 853534526048 866486079234 889904621916 912090609720 914624194747 931994705385 936741707280 942493630044 960226341804 962059050720 962762310260 967966430856 977140150620 988782913240 994127685744 1010764570320 1018912032480 1038082531680 1066918157560 1112380777395 1155314772312 1172568180744 1178117037555 1186539495888 1200282927255 1209958038570 1216120812960 1234282295520 1239001731360 1242659607180 1256658173392 1280301789072 1290621907808 1302853534160 1413740445066 1444143465390 1451949646284 1465710225930 1483174369860 1491191528616 1492281580903 1528368048720 1532613515522 1540419696416 1563424240992 1569675293280 1570822716740 1600377236340 1613277384760 1656879476240 1732972158468 1779809243832 1814937057855 1824181219440 1829248389494 1863989410770 1873483414560 1884987260088 1920452683608 1925524620520 1935932861712 1954280301240 1977565826480 1988255371488 2021529140640 2133836315120 2166215198085 2224761554790 2298920273283 2310629544624 2345136361488 2356234075110 2373078991776 2400565854510 2419916077140 2485319214360 2513316346784 2560603578144 2605707068320 2743872584241 2827480890132 2888286930780 2903899292568 2931420451860 2966348739720 2982383057232 2984563161806 3056736097440 3065227031044 3141645433480 3200754472680 3226554769520 3313758952480 3465944316936 3534351112665 3559618487664 3629874115710 3648362438880 3658496778988 3727978821540 3769974520176 3831533788805 3840905367216 3851049241040 3871865723424 3908560602480 3955131652960 4267672630240 4332430396170 4449523109580 4476844742709 4573120973735 4597840546566 4621259089248 4690272722976 4712468150220 4801131709020 4839832154280 4970638428720 5487745168482 5654961780264 5776573861560 5807798585136 5862840903720 5932697479440 5964766114464 5969126323612 6130454062088 6283290866960 6401508945360 6453109539040 6896760819849 6931888633872 7068702225330 7119236975328 7259748231420 7316993557976 7455957643080 7461407904515 7539949040352 7663067577610 7681810734432 7702098482080 7817121204960 8231617752723 8664860792340 8899046219160 8953689485418 9146241947470 9195681093132 9424936300440 9602263418040 9679664308560 9941276857440 10975490336964 11309923560528 11494601366415 11553147723120 11615597170272 11725681807440 11865394958880 11938252647224 12260908124176 12566581733920 12803017890720 13430534228127 13719362921205 13793521639698 13863777267744 14137404450660 14519496462840 14633987115952 14911915286160 14922815809030 15326135155220 16463235505446 17329721584680 17798092438320 17907378970836 18292483894940 18391362186264 18849872600880 19204526836080 19359328617120 21950980673928 22384223713545 22619847121056 22989202732830 23106295446240 23451363614880 23876505294448 24521816248352 26861068456254 27438725842410 27587043279396 28274808901320 28353350037157 29038992925680 29267974231904 29823830572320 29845631618060 30652270310440 32926471010892 34483804099245 34659443169360 35596184876640 35814757941672 36584967789880 36782724372528 37699745201760 38409053672160 41158088763615 43901961347856 44768447427090 45978405465660 47753010588896 53722136912508 54877451684820 55174086558792 56549617802640 56706700074314 58077985851360 59691263236120 61304540620880 65852942021784 67152671140635 68967608198490 69318886338720 71629515883344 73169935579760 73565448745056 82316177527230 85060050111471 87803922695712 89536894854180 91956810931320 107444273825016 109754903369640 110348173117584 113099235605280 113413400148628 119382526472240 122609081241760 131705884043568 134305342281270 137935216396980 141766750185785 143259031766688 146339871159520 164632355054460 170120100222942 179073789708360 183913621862640 214888547650032 219509806739280 220696346235168 226826800297256 238765052944480 255180150334413 263411768087136 268610684562540 275870432793960 283533500371570 329264710108920 340240200445884 358147579416720 367827243725280 425300250557355 429777095300064 439019613478560 453653600594512 510360300668826 537221369125080 551740865587920 567067000743140 658529420217840 680480400891768 716295158833440 850600501114710 907307201189024 1020720601337652 1074442738250160 1103481731175840 1134134001486280 1275900751672065 1317058840435680 1360960801783536 1701201002229420 2041441202675304 2148885476500320 2268268002972560 2551801503344130 2721921603567072 3402402004458840 4082882405350608 4536536005945120 5103603006688260 6804804008917680 8165764810701216 10207206013376520 13609608017835360 20414412026753040 40828824053506080
- Sum of all divisors σ(n): 156240630266692608
- Sum of proper divisors (its aliquot sum) s(n): 115411806213186528
- 40828824053506080 is an abundant number, because the sum of its proper divisors (115411806213186528) is greater than itself. Its abundance is 74582982159680448
Bases of 40828824053506080
- Binary: 100100010000110110011001011000100100111001100000001000002
- Hexadecimal: 0x910D99624E6020
- Base-36: B60LYU0GJS0
Squares and roots of 40828824053506080
- 40828824053506080 squared (408288240535060802) is 1666992873592156649362740596966400
- 40828824053506080 cubed (408288240535060803) is 68061358734342665671112869044530826914131955712000
-
The
square root of 40828824053506080 is 202061436.3343636137 -
The
cube root of 40828824053506080 is 344341.1750961461
Scales and comparisons
How big is 40828824053506080?- 40,828,824,053,506,080 seconds is equal to 1,298,230,313 years, 2 weeks, 6 days, 14 hours, 48 minutes.
-
To count from 1 to 40,828,824,053,506,080 would take you about three billion, eight hundred ninety-four million, six hundred ninety thousand, nine hundred thirty-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 40828824053506080 cubic inches would be around 28695.1 feet tall.
Recreational maths with 40828824053506080
- 40828824053506080 backwards is 08060535042882804
- The number of decimal digits it has is: 17
- The sum of 40828824053506080's digits is 63
- More coming soon!
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"Number 40828824053506080 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
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Numbermatics. (2024). Number 40828824053506080 - Facts about the integer. Retrieved 28 June 2024, from https://numbermatics.com/n/40828824053506080/
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The information we have on file for 40828824053506080 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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