90427064166400
90,427,064,166,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 90427064166400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
90427064166400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 90427064166400:
211 × 52 × 132 × 37 × 41 × 832
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 37 × 41 × 83 × 83)See below for interesting mathematical facts about the number 90427064166400 from the Numbermatics database.
Names of 90427064166400
- Cardinal: 90427064166400 can be written as Ninety trillion, four hundred twenty-seven billion, sixty-four million, one hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 9.04270641664 × 1013
Factors of 90427064166400
Divisors of 90427064166400
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 37 40 41 50 52 64 65 74 80 82 83 100 104 128 130 148 160 164 166 169 185 200 205 208 256 260 296 320 325 328 332 338 370 400 410 415 416 481 512 520 533 592 640 650 656 664 676 740 800 820 830 832 845 925 962 1024 1025 1040 1066 1079 1184 1280 1300 1312 1328 1352 1480 1517 1600 1640 1660 1664 1690 1850 1924 2048 2050 2075 2080 2132 2158 2368 2405 2560 2600 2624 2656 2665 2704 2960 3034 3071 3200 3280 3320 3328 3380 3403 3700 3848 4100 4150 4160 4225 4264 4316 4736 4810 5120 5200 5248 5312 5330 5395 5408 5920 6068 6142 6253 6400 6560 6640 6656 6760 6806 6889 6929 7400 7585 7696 8200 8300 8320 8450 8528 8632 9472 9620 10240 10400 10496 10624 10660 10790 10816 11840 12025 12136 12284 12506 12800 13120 13280 13312 13325 13520 13612 13778 13858 14027 14800 15170 15355 15392 16400 16600 16640 16900 17015 17056 17264 18944 19240 19721 20800 20992 21248 21320 21580 21632 23680 24050 24272 24568 25012 25600 26240 26560 26624 26650 26975 27040 27224 27556 27716 28054 29600 30340 30710 30784 31265 32800 33200 33280 33800 34030 34112 34445 34528 34645 37888 37925 38480 39442 39923 41600 41984 42496 42640 43160 43264 44239 47360 48100 48544 49136 50024 51200 52480 53120 53300 53950 54080 54448 55112 55432 56108 59200 60680 61420 61568 62530 65600 66400 66560 67600 68060 68224 68890 69056 69290 70135 75776 75850 76775 76960 78884 79846 83200 83968 84992 85075 85280 86320 86528 88478 89557 94720 96200 97088 98272 98605 100048 104960 106240 106600 107900 108160 108896 110224 110864 112216 118400 121360 122840 123136 125060 125911 131200 132800 133120 135200 136120 136448 137780 138112 138580 140270 151700 153550 153920 156325 157768 159692 166400 169984 170150 170560 172225 172640 173056 173225 176956 179114 189440 192400 194176 196544 197210 199615 200096 209920 212480 213200 215800 216320 217792 220448 221195 221728 224432 236800 242720 245680 246272 250120 251822 254893 256373 262400 265600 270400 272240 272896 275560 276224 277160 280540 282449 303400 307100 307840 312650 315536 319384 332800 340300 341120 344450 345280 346112 346450 350675 353912 358228 378880 384800 388352 393088 394420 399230 400192 419840 424960 426400 431600 432640 435584 440896 442390 443456 447785 448864 473600 485440 491360 492544 493025 500240 503644 509786 512746 518999 524800 531200 540800 544480 545792 551120 552448 554320 561080 564898 575107 606800 614200 615680 625300 629555 631072 638768 665600 680600 682240 688900 690560 692900 701350 707824 716456 769600 776704 786176 788840 798460 800384 849920 852800 863200 865280 871168 881792 884780 886912 895570 897728 947200 970880 982720 985088 986050 998075 1000480 1007288 1019572 1025492 1037998 1049600 1062400 1081600 1088960 1091584 1102240 1104896 1105975 1108640 1122160 1129796 1150214 1164241 1213600 1228400 1231360 1250600 1259110 1262144 1274465 1277536 1281865 1361200 1364480 1377800 1381120 1385800 1402700 1412245 1415648 1432912 1539200 1553408 1572352 1577680 1596920 1600768 1636843 1705600 1726400 1730560 1742336 1763584 1769560 1773824 1791140 1795456 1894400 1941760 1965440 1972100 1996150 2000960 2014576 2039144 2050984 2075996 2099200 2124800 2163200 2177920 2204480 2209792 2211950 2217280 2238925 2244320 2259592 2300428 2328482 2427200 2456800 2462720 2501200 2518220 2524288 2548930 2555072 2563730 2594995 2722400 2728960 2755600 2762240 2771600 2805400 2824490 2831296 2865824 2875535 3078400 3106816 3144704 3147775 3155360 3193840 3201536 3273686 3313609 3411200 3452800 3484672 3527168 3539120 3547648 3582280 3590912 3671837 3883520 3930880 3944200 3992300 4001920 4029152 4078288 4101968 4151992 4249600 4326400 4355840 4408960 4423900 4434560 4477850 4488640 4519184 4600856 4656964 4854400 4913600 4925440 5002400 5036440 5048576 5097860 5110144 5127460 5189990 5444800 5457920 5511200 5524480 5543200 5610800 5648980 5662592 5731648 5751070 5821205 6156800 6289408 6295550 6310720 6372325 6387680 6403072 6409325 6547372 6627218 6822400 6905600 6969344 7054336 7061225 7078240 7095296 7164560 7181824 7343674 7767040 7861760 7888400 7984600 8003840 8058304 8156576 8184215 8203936 8303984 8652800 8711680 8817920 8847800 8869120 8955700 8977280 9038368 9201712 9313928 9708800 9827200 10004800 10072880 10097152 10195720 10220288 10254920 10379980 10450613 10889600 11022400 11048960 11086400 11221600 11297960 11325184 11463296 11502140 11642410 12313600 12591100 12621440 12744650 12775360 12806144 12818650 12974975 13094744 13254436 13644800 13811200 14108672 14122450 14156480 14190592 14329120 14363648 14377675 14687348 15534080 15723520 15776800 15969200 16007680 16116608 16313152 16368430 16407872 16568045 16607968 17423360 17635840 17695600 17738240 17911400 17954560 18076736 18359185 18403424 18627856 19417600 19654400 20009600 20145760 20194304 20391440 20440576 20509840 20759960 20901226 21278959 21779200 22044800 22172800 22443200 22595920 22650368 22926592 23004280 23284820 24627200 25182200 25242880 25489300 25550720 25637300 25949950 26189488 26508872 27289600 27622400 28244900 28312960 28658240 28727296 28755350 29106025 29374696 31447040 31553600 31938400 32015360 32233216 32626304 32736860 32815744 33136090 33215936 34846720 35271680 35391200 35476480 35822800 35909120 36153472 36718370 36806848 37255712 38835200 39308800 40019200 40291520 40388608 40782880 40881152 40921075 41019680 41519920 41802452 42557918 43076917 43558400 44089600 44345600 44886400 45191840 45300736 45853184 46008560 46569640 47733881 50364400 50485760 50978600 51101440 51274600 51899900 52253065 52378976 53017744 55244800 56489800 56625920 57316480 57510700 58212050 58749392 63107200 63876800 64030720 64466432 65252608 65473720 65631488 66272180 66431872 70543360 70782400 70952960 71645600 71818240 72306944 73436740 73613696 74511424 77670400 78617600 80038400 80583040 81565760 81762304 81842150 82039360 82840225 83039840 83604904 85115836 86153834 87116800 88179200 88691200 89772800 90383680 90601472 91706368 91795925 92017120 93139280 95467762 100728800 100971520 101957200 102202880 102549200 103799800 104506130 104757952 106035488 106394795 112979600 113251840 114632960 115021400 116424100 117498784 126214400 127753600 128932864 130505216 130947440 131262976 132544360 132863744 135857969 141564800 143291200 143636480 144613888 146873480 147227392 149022848 157235200 160076800 161166080 163131520 163684300 164078720 165680450 166079680 167209808 170231672 172307668 174233600 176358400 177382400 179545600 180767360 183412736 183591850 184034240 186278560 190935524 201457600 201943040 203914400 204405760 205098400 207599600 209012260 209515904 212070976 212789590 215384585 225959200 226503680 229265920 230042800 232848200 234997568 238669405 252428800 255507200 257865728 261010432 261265325 261894880 262525952 265088720 265727488 271715938 283129600 286582400 289227776 293746960 294454784 298045696 320153600 322332160 326263040 327368600 328157440 331360900 332159360 334419616 340463344 344615336 352716800 354764800 359091200 361534720 367183700 368068480 372557120 381871048 402915200 407828800 408811520 410196800 415199200 418024520 419031808 424141952 425579180 430769170 451918400 453007360 458531840 460085600 465696400 469995136 477338810 504857600 511014400 522020864 522530650 523789760 525051904 530177440 531454976 531973975 543431876 566259200 573164800 578455552 587493920 588909568 596091392 644664320 652526080 654737200 656314880 662721800 664318720 668839232 679289845 680926688 689230672 718182400 723069440 734367400 736136960 745114240 763742096 805830400 815657600 820393600 830398400 836049040 838063616 848283904 851158360 861538340 903836800 917063680 920171200 931392800 939990272 954677620 1009715200 1022028800 1045061300 1047579520 1060354880 1062909952 1063947950 1076922925 1086863752 1132518400 1146329600 1174987840 1177819136 1192182784 1193347025 1289328640 1305052160 1309474400 1312629760 1325443600 1328637440 1337678464 1358579690 1361853376 1378461344 1446138880 1468734800 1472273920 1490228480 1527484192 1611660800 1631315200 1640787200 1660796800 1672098080 1676127232 1696567808 1702316720 1723076680 1766153597 1807673600 1840342400 1862785600 1879980544 1909355240 2044057600 2090122600 2095159040 2120709760 2127895900 2153845850 2173727504 2265036800 2292659200 2349975680 2384365568 2386694050 2610104320 2618948800 2625259520 2650887200 2657274880 2675356928 2717159380 2723706752 2756922688 2892277760 2937469600 2944547840 2980456960 3054968384 3223321600 3262630400 3281574400 3321593600 3344196160 3352254464 3393135616 3396449225 3404633440 3446153360 3532307194 3615347200 3680684800 3725571200 3759961088 3818710480 4180245200 4190318080 4241419520 4255791800 4307691700 4347455008 4585318400 4699951360 4773388100 5237897600 5301774400 5314549760 5350713856 5434318760 5447413504 5513845376 5874939200 5889095680 5960913920 6109936768 6446643200 6525260800 6563148800 6643187200 6688392320 6786271232 6792898450 6809266880 6892306720 7064614388 7230694400 7361369600 7451142400 7519922176 7637420960 8360490400 8380636160 8482839040 8511583600 8615383400 8694910016 8830767985 9399902720 9546776200 10475795200 10603548800 10701427712 10868637520 10894827008 11027690752 11749878400 11921827840 12219873536 13050521600 13126297600 13286374400 13376784640 13585796900 13618533760 13784613440 14129228776 14461388800 14722739200 14902284800 15274841920 16720980800 16761272320 16965678080 17023167200 17230766800 17389820032 17661535970 18799805440 19093552400 20951590400 21207097600 21402855424 21737275040 21789654016 22055381504 23499756800 24439747072 26572748800 26753569280 27171593800 27237067520 27569226880 28258457552 29445478400 29804569600 30549683840 33441961600 33931356160 34046334400 34461533600 34779640064 35323071940 37599610880 38187104800 41903180800 42414195200 43474550080 43579308032 44110763008 44153839925 46999513600 48879494144 53507138560 54343187600 54474135040 55138453760 56516915104 59609139200 61099367680 66883923200 68092668800 68923067200 69559280128 70646143880 76374209600 83806361600 84828390400 86949100160 88221526016 88307679850 93999027200 97758988288 107014277120 108686375200 108948270080 110276907520 113033830208 122198735360 133767846400 136185337600 137846134400 139118560256 141292287760 152748419200 169656780800 173898200320 176615359700 187998054400 217372750400 217896540160 220553815040 226067660416 244397470720 267535692800 272370675200 275692268800 278237120512 282584575520 305496838400 347796400640 353230719400 434745500800 441107630080 452135320832 488794941440 535071385600 544741350400 551384537600 565169151040 610993676800 695592801280 706461438800 869491001600 904270641664 1089482700800 1102769075200 1130338302080 1221987353600 1391185602560 1412922877600 1738982003200 1808541283328 2205538150400 2260676604160 2443974707200 2825845755200 3477964006400 3617082566656 4521353208320 5651691510400 6955928012800 9042706416640 11303383020800 18085412833280 22606766041600 45213532083200 90427064166400
- Sum of all divisors σ(n): 258534938368980
- Sum of proper divisors (its aliquot sum) s(n): 168107874202580
- 90427064166400 is an abundant number, because the sum of its proper divisors (168107874202580) is greater than itself. Its abundance is 77680810036180
Bases of 90427064166400
- Binary: 101001000111110001100010000100110101000000000002
- Hexadecimal: 0x523E3109A800
- Base-36: W1XMB8W74
Squares and roots of 90427064166400
- 90427064166400 squared (904270641664002) is 8177053933754222926888960000
- 90427064166400 cubed (904270641664003) is 739426980759706651456758001847762944000000
-
The
square root of 90427064166400 is 9509314.6002432793 -
The
cube root of 90427064166400 is 44884.8188792169
Scales and comparisons
How big is 90427064166400?- 90,427,064,166,400 seconds is equal to 2,875,300 years, 48 weeks, 2 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 90,427,064,166,400 would take you about seven million, one hundred eighty-eight thousand, two hundred fifty-two 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 90427064166400 cubic inches would be around 3740.4 feet tall.
Recreational maths with 90427064166400
- 90427064166400 backwards is 00466146072409
- The number of decimal digits it has is: 14
- The sum of 90427064166400's digits is 49
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 90427064166400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 90427064166400 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/90427064166400/
Chicago style:
Numbermatics. 2024. "Number 90427064166400 - Facts about the integer". https://numbermatics.com/n/90427064166400/
The information we have on file for 90427064166400 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 90427064166400, math, Factors of 90427064166400, curriculum, school, college, exams, university, Prime factorization of 90427064166400, STEM, science, technology, engineering, physics, economics, calculator, ninety trillion, four hundred twenty-seven billion, sixty-four million, one hundred sixty-six thousand, four hundred.