10142351939200
10,142,351,939,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 10142351939200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
10142351939200 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 10142351939200:
27 × 52 × 132 × 17 × 19 × 31 × 1873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 17 × 19 × 31 × 1873)See below for interesting mathematical facts about the number 10142351939200 from the Numbermatics database.
Names of 10142351939200
- Cardinal: 10142351939200 can be written as Ten trillion, one hundred forty-two billion, three hundred fifty-one million, nine hundred thirty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.01423519392 × 1013
Factors of 10142351939200
Divisors of 10142351939200
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 19 20 25 26 31 32 34 38 40 50 52 62 64 65 68 76 80 85 95 100 104 124 128 130 136 152 155 160 169 170 190 200 208 221 247 248 260 272 304 310 320 323 325 338 340 380 400 403 416 425 442 475 494 496 520 527 544 589 608 620 640 646 650 676 680 760 775 800 806 832 845 850 884 950 988 992 1040 1054 1088 1105 1178 1216 1235 1240 1292 1300 1352 1360 1520 1550 1600 1612 1615 1664 1690 1700 1768 1873 1900 1976 1984 2015 2080 2108 2176 2210 2356 2432 2470 2480 2584 2600 2635 2704 2720 2873 2945 3040 3100 3200 3211 3224 3230 3380 3400 3536 3746 3800 3952 3968 4030 4160 4199 4216 4225 4420 4712 4940 4960 5168 5200 5239 5270 5408 5440 5525 5746 5890 6080 6175 6200 6422 6448 6460 6760 6800 6851 7072 7492 7600 7657 7904 8060 8075 8320 8398 8432 8450 8840 9365 9424 9880 9920 10013 10075 10336 10400 10478 10540 10816 10880 11050 11492 11780 12160 12350 12400 12844 12896 12920 13175 13520 13600 13702 14144 14365 14725 14984 15200 15314 15808 16055 16120 16150 16796 16864 16900 17680 18730 18848 19760 19840 20026 20150 20672 20800 20956 20995 21080 21632 22100 22984 23560 24349 24700 24800 25688 25792 25840 26195 26350 27040 27200 27404 28288 28730 29450 29968 30400 30628 31616 31841 32110 32240 32300 33592 33728 33800 34255 35360 35587 37460 37696 38285 39520 40052 40300 41344 41600 41912 41990 42160 44200 45968 46825 47120 48698 49400 49600 50065 51376 51584 51680 52390 52700 54080 54400 54587 54808 57460 58063 58900 59936 60800 61256 63682 64220 64480 64600 67184 67456 67600 68510 70720 71174 71825 74920 75392 76570 79040 80104 80275 80600 83824 83980 84320 88400 89063 91936 93650 94240 97396 98800 99200 99541 100130 102752 103360 104780 104975 105400 108160 109174 109616 114920 116126 117800 119872 121745 122512 127364 128440 128960 129200 130169 130975 134368 135200 137020 141440 142348 143650 149840 153140 158080 159205 160208 160550 161200 167648 167960 168640 171275 176800 177935 178126 183872 187300 188480 191425 194792 197600 199082 200260 205504 206720 209560 209950 210800 218348 219232 229840 232252 235600 239744 243490 245024 250325 254728 256880 257920 258400 260338 261950 268736 270400 272935 274040 284696 287300 290315 299680 306280 316537 318410 320416 321100 322400 335296 335920 337280 342550 353600 355870 356252 367744 374600 376960 382850 389584 395200 398164 400520 411008 413933 419120 419900 421600 436696 438464 445315 459680 462631 464504 471200 486980 490048 497705 500650 509456 513760 516800 520676 523900 537472 540800 545870 548080 569392 574600 580630 599360 604979 608725 612560 633074 636820 640832 642200 644800 650845 670592 671840 685100 707200 711740 712504 749200 754819 765700 779168 790400 796025 796328 801040 827866 838240 839800 843200 873392 876928 889675 890630 919360 925262 929008 942400 973960 980096 987071 995410 1001300 1018912 1027520 1033600 1041352 1047800 1091740 1096160 1103197 1138784 1149200 1161260 1198720 1209958 1217450 1225120 1266148 1273640 1281664 1284400 1289600 1301690 1343680 1364675 1370200 1423480 1425008 1451575 1498400 1509638 1531400 1558336 1582685 1592050 1592656 1602080 1655732 1676480 1679600 1686400 1692197 1746784 1779350 1781260 1838720 1850524 1858016 1884800 1947920 1974142 1990820 2002600 2037824 2055040 2069665 2082704 2095600 2183480 2192320 2206394 2226575 2277568 2298400 2313155 2322520 2419916 2434900 2450240 2488525 2532296 2547280 2568800 2603380 2687360 2729350 2740400 2846960 2850016 2903150 2996800 3019276 3024895 3062800 3116672 3165370 3184100 3185312 3204160 3254225 3311464 3352960 3359200 3384394 3493568 3558700 3562520 3701048 3716032 3774095 3895840 3948284 3981640 4005200 4075648 4139330 4165408 4191200 4366960 4384640 4412788 4453150 4555136 4596800 4626310 4645040 4839832 4869800 4900480 4935355 4977050 5064592 5094560 5137600 5206760 5381129 5458700 5480800 5515985 5693920 5700032 5806300 5993600 6014203 6038552 6049790 6125600 6330740 6368200 6370624 6408320 6508450 6622928 6718400 6768788 6987136 7117400 7125040 7402096 7432064 7548190 7791680 7864727 7896568 7913425 7963280 8010400 8278660 8330816 8382400 8460985 8733920 8825576 8906300 9193600 9252620 9290080 9679664 9739600 9812647 9870710 9954100 10129184 10189120 10275200 10348325 10413520 10762258 10917400 10961600 11031970 11387840 11400064 11565775 11612600 12028406 12077104 12099580 12251200 12661480 12736400 12741248 12831923 13016900 13245856 13436800 13537576 14234800 14250080 14341561 14804192 15096380 15124475 15583360 15729454 15793136 15826850 15926560 16020800 16557320 16661632 16764800 16921970 17467840 17651152 17812600 18505240 18580160 18754349 18870475 19359328 19479200 19625294 19741420 19908200 20258368 20378240 20696650 20827040 21524516 21834800 21923200 22063940 22775680 23131550 23225200 24056812 24154208 24199160 24502400 24676775 25322960 25472800 25663846 26033800 26491712 26905645 27075152 27579925 28469600 28500160 28683122 29608384 30071015 30192760 30248950 31458908 31586272 31653700 31853120 32041600 33114640 33843940 34935680 35302304 35625200 37010480 37160320 37508698 37740950 38718656 38958400 39250588 39323635 39482840 39816400 40516736 41393300 41654080 42304925 43049032 43669600 44127880 46263100 46450400 48113624 48308416 48398320 49063235 49353550 50645920 50945600 51327692 52067600 52983424 53811290 54150304 55159850 56939200 57000320 57366244 59216768 60142030 60385520 60497900 62917816 63172544 63307400 63706240 64159615 66229280 67687880 70604608 71250400 71707805 74020960 75017396 75481900 77437312 77916800 78501176 78647270 78965680 79632800 82786600 83308160 84609850 86098064 87339200 88255760 92526200 92900800 93771745 96227248 96616832 96796640 98126470 98707100 101291840 101891200 102241451 102655384 104135200 107622580 108300608 110319700 113878400 114732488 120284060 120771040 120995800 125835632 126345088 126614800 128319230 132458560 134528225 135375760 141209216 142500800 143415610 148041920 150034792 150355075 150963800 157002352 157294540 157931360 159265600 165573200 166814999 169219700 172196128 174678400 176511520 185052400 185801600 186440293 187543490 192454496 193593280 196252940 196618175 197414200 202583680 204482902 205310768 208270400 215245160 216601216 220639400 229464976 240568120 241542080 241991600 243806537 245316175 251671264 253229600 256638460 264917120 269056450 270751520 285001600 286831220 296083840 300069584 300710150 301927600 314004704 314589080 315862720 318531200 320798075 331146400 333629998 338439400 344392256 353023040 358539025 370104800 372880586 375086980 384908992 387186560 392505880 393236350 394828400 408965804 410621536 416540800 430490320 441278800 458929952 468858725 481136240 483084160 483983200 487613074 490632350 503342528 506459200 511207255 513276920 538112900 541503040 573662440 600139168 601420300 603855200 628009408 629178160 631725440 641596150 662292800 667259996 676878800 688784512 706046080 717078050 740209600 745761172 750173960 769817984 785011760 786472700 789656800 817931608 821243072 834074995 860980640 882557600 917859904 932201465 937717450 962272480 967966400 975226148 981264700 1006685056 1012918400 1022414510 1026553840 1076225800 1083006080 1147324880 1200278336 1202840600 1207710400 1219032685 1256018816 1258356320 1283192300 1324585600 1334519992 1353757600 1434156100 1480419200 1491522344 1500347920 1570023520 1572945400 1579313600 1635863216 1642486144 1668149990 1721961280 1765115200 1835719808 1864402930 1875434900 1924544960 1935932800 1950452296 1962529400 2044829020 2053107680 2152451600 2294649760 2400556672 2405681200 2415420800 2438065370 2516712640 2556036275 2566384600 2669039984 2707515200 2868312200 2983044688 3000695840 3140047040 3145890800 3158627200 3169484981 3271726432 3336299980 3443922560 3530230400 3728805860 3750869800 3849089920 3900904592 3925058800 4089658040 4106215360 4170374975 4304903200 4589299520 4661007325 4811362400 4876130740 5033425280 5112072550 5132769200 5338079968 5415030400 5736624400 5966089376 6001391680 6095163425 6280094080 6291781600 6338969962 6543452864 6672599960 7457611720 7501739600 7801809184 7850117600 8179316080 8212430720 8340749950 8609806400 9178599040 9322014650 9622724800 9752261480 10224145100 10265538400 10676159936 11473248800 11932178752 12002783360 12190326850 12583563200 12677939924 13086905728 13345199920 14915223440 15003479200 15603618368 15700235200 15847424905 16358632160 16681499900 17219612800 18644029300 19245449600 19504522960 20448290200 20531076800 21352319872 22946497600 23864357504 24380653700 25167126400 25355879848 26690399840 29830446880 30006958400 31207236736 31400470400 31694849810 32717264320 33362999800 37288058600 39009045920 40896580400 41062153600 45892995200 48761307400 50711759696 53380799680 59660893760 60013916800 63389699620 65434528640 66725999600 74576117200 78018091840 79237124525 81793160800 97522614800 101423519392 106761599360 119321787520 126779399240 133451999200 149152234400 156036183680 158474249050 163586321600 195045229600 202847038784 253558798480 266903998400 298304468800 316948498100 327172643200 390090459200 405694077568 507117596960 533807996800 596608937600 633896996200 780180918400 1014235193920 1267793992400 2028470387840 2535587984800 5071175969600 10142351939200
- Sum of all divisors σ(n): 31230218995200
- Sum of proper divisors (its aliquot sum) s(n): 21087867056000
- 10142351939200 is an abundant number, because the sum of its proper divisors (21087867056000) is greater than itself. Its abundance is 10945515116800
Bases of 10142351939200
- Binary: 100100111001011100110100100011010110100000002
- Hexadecimal: 0x9397348D680
- Base-36: 3LFBYH5Z4
Squares and roots of 10142351939200
- 10142351939200 squared (101423519392002) is 102867302858594000496640000
- 10142351939200 cubed (101423519392003) is 1043316388628134564322582467084288000000
-
The
square root of 10142351939200 is 3184705.9423438139 -
The
cube root of 10142351939200 is 21646.0949344955
Scales and comparisons
How big is 10142351939200?- 10,142,351,939,200 seconds is equal to 322,495 years, 21 weeks, 5 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 10,142,351,939,200 would take you about eight hundred six thousand, two hundred thirty-eight 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 10142351939200 cubic inches would be around 1803.8 feet tall.
Recreational maths with 10142351939200
- 10142351939200 backwards is 00293915324101
- 10142351939200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 10142351939200's digits is 40
- 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 10142351939200 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 10142351939200 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/10142351939200/
Chicago style:
Numbermatics. 2024. "Number 10142351939200 - Facts about the integer". https://numbermatics.com/n/10142351939200/
The information we have on file for 10142351939200 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 10142351939200, math, Factors of 10142351939200, curriculum, school, college, exams, university, Prime factorization of 10142351939200, STEM, science, technology, engineering, physics, economics, calculator, ten trillion, one hundred forty-two billion, three hundred fifty-one million, nine hundred thirty-nine thousand, two hundred.