105442680012800
105,442,680,012,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 105442680012800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
105442680012800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 105442680012800:
215 × 52 × 13 × 292 × 61 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 29 × 29 × 61 × 193)See below for interesting mathematical facts about the number 105442680012800 from the Numbermatics database.
Names of 105442680012800
- Cardinal: 105442680012800 can be written as One hundred five trillion, four hundred forty-two billion, six hundred eighty million, twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.054426800128 × 1014
Factors of 105442680012800
Divisors of 105442680012800
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 29 32 40 50 52 58 61 64 65 80 100 104 116 122 128 130 145 160 193 200 208 232 244 256 260 290 305 320 325 377 386 400 416 464 488 512 520 580 610 640 650 725 754 772 793 800 832 841 928 965 976 1024 1040 1160 1220 1280 1300 1450 1508 1525 1544 1586 1600 1664 1682 1769 1856 1885 1930 1952 2048 2080 2320 2440 2509 2560 2600 2900 3016 3050 3088 3172 3200 3328 3364 3538 3712 3770 3860 3904 3965 4096 4160 4205 4640 4825 4880 5018 5120 5200 5597 5800 6032 6100 6176 6344 6400 6656 6728 7076 7424 7540 7720 7808 7930 8192 8320 8410 8845 9280 9425 9650 9760 10036 10240 10400 10933 11194 11600 11773 12064 12200 12352 12545 12688 12800 13312 13456 14152 14848 15080 15440 15616 15860 16384 16640 16820 17690 18560 18850 19300 19520 19825 20072 20480 20800 21025 21866 22388 22997 23200 23546 24128 24400 24704 25090 25376 25600 26624 26912 27985 28304 29696 30160 30880 31232 31720 32768 33280 33640 35380 37120 37700 38600 39040 39650 40144 40960 41600 42050 43732 44225 44776 45994 46400 47092 48256 48800 49408 50180 50752 51200 51301 53248 53824 54665 55970 56608 58865 59392 60320 61760 62464 62725 63440 66560 67280 70760 72761 74240 75400 77200 78080 79300 80288 81920 83200 84100 87464 88450 89552 91988 92800 94184 96512 97600 98816 100360 101504 102400 102602 106496 107648 109330 111940 113216 114985 117730 118784 120640 123520 124928 125450 126880 133120 134560 139925 141520 145522 148480 150800 153049 154400 156160 158600 160576 162313 163840 166400 168200 174928 176900 179104 183976 185600 188368 193024 195200 197632 200720 203008 204800 205204 212992 215296 218660 223880 226432 229970 235460 237568 241280 247040 249856 250900 253760 256505 266240 269120 273325 279850 283040 291044 294325 296960 301600 306098 308800 312320 317200 321152 324626 332800 336400 341417 349856 353800 358208 363805 367952 371200 376736 386048 390400 395264 401440 406016 409600 410408 425984 430592 437320 447760 452864 459940 470920 475136 482560 494080 499712 501800 507520 513010 532480 538240 546650 559700 566080 574925 582088 588650 593920 603200 612196 617600 624640 634400 642304 649252 665600 666913 672800 682834 699712 707600 716416 727610 735904 742400 753472 765245 772096 780800 790528 802880 811565 812032 819200 820816 861184 874640 895520 905728 919880 941840 950272 965120 988160 999424 1003600 1015040 1026020 1064960 1076480 1093300 1119400 1132160 1149850 1164176 1177300 1187840 1206400 1224392 1235200 1249280 1268800 1282525 1284608 1298504 1331200 1333826 1345600 1365668 1399424 1415200 1432832 1455220 1471808 1484800 1506944 1530490 1544192 1561600 1581056 1605760 1623130 1624064 1641632 1707085 1722368 1749280 1791040 1811456 1819025 1839760 1883680 1930240 1976320 1998848 2007200 2030080 2052040 2110069 2129920 2152960 2186600 2238800 2264320 2299700 2328352 2354600 2375680 2412800 2448784 2470400 2498560 2537600 2565050 2569216 2597008 2662400 2667652 2691200 2731336 2798848 2830400 2865664 2910440 2943616 2969600 3013888 3060980 3088384 3123200 3162112 3211520 3246260 3248128 3283264 3334565 3414170 3444736 3498560 3582080 3622912 3638050 3679520 3767360 3826225 3860480 3952640 4014400 4057825 4060160 4104080 4220138 4305920 4373200 4438421 4477600 4528640 4599400 4656704 4709200 4751360 4825600 4897568 4940800 4997120 5075200 5130100 5138432 5194016 5324800 5335304 5382400 5462672 5597696 5660800 5731328 5820880 5887232 5939200 6027776 6121960 6176768 6246400 6324224 6423040 6492520 6496256 6566528 6669130 6828340 6889472 6997120 7164160 7245824 7276100 7359040 7534720 7652450 7720960 7905280 8028800 8115650 8120320 8208160 8440276 8535425 8611840 8746400 8876842 8955200 9057280 9198800 9313408 9418400 9651200 9795136 9881600 9901093 9994240 10150400 10260200 10276864 10388032 10550345 10649600 10670608 10764800 10925344 11195392 11321600 11462656 11641760 11774464 11878400 12055552 12243920 12353536 12492800 12846080 12985040 12992512 13133056 13338260 13656680 13778944 13994240 14328320 14491648 14552200 14718080 15069440 15304900 15441920 15810560 16057600 16231300 16240640 16416320 16672825 16880552 17070850 17223680 17492800 17753684 17910400 18114560 18397600 18626816 18836800 19302400 19590272 19763200 19802186 20300800 20520400 20553728 20776064 21100690 21341216 21529600 21850688 22192105 22390784 22643200 22925312 23283520 23548928 23756800 24111104 24487840 24985600 25692160 25970080 25985024 26266112 26676520 27313360 27557888 27988480 28656640 28983296 29104400 29436160 30138880 30609800 30883840 31621120 32115200 32462600 32481280 32832640 33345650 33761104 34141700 34447360 34985600 35507368 35820800 36229120 36795200 37253632 37673600 38604800 39180544 39526400 39604372 40601600 41040800 41107456 41552128 42201380 42682432 43059200 43701376 44384210 44781568 45286400 45850624 46567040 47097856 48222208 48975680 49505465 49971200 51384320 51940160 52532224 52751725 53353040 54626720 55976960 57313280 57966592 58208800 58872320 60277760 61219600 61767680 64230400 64925200 64962560 65665280 66691300 67522208 68283400 68894720 69971200 71014736 71641600 72458240 73590400 74507264 75347200 77209600 78361088 79052800 79208744 81203200 82081600 82214912 83104256 84402760 85364864 86118400 87402752 88768420 89563136 90572800 91701248 93134080 94195712 96444416 97951360 99010930 102768640 103880320 105064448 105503450 106706080 109253440 110960525 111953920 114626560 116417600 117744640 120555520 122439200 128460800 128714209 129850400 129925120 131330560 133382600 135044416 136566800 137789440 139942400 142029472 143283200 144916480 147180800 149014528 150694400 154419200 156722176 158105600 158417488 162406400 164163200 166208512 168805520 170729728 172236800 174805504 177536840 179126272 181145600 183402496 186268160 188391424 192888832 195902720 198021860 205537280 207760640 210128896 211006900 213412160 218506880 221921050 223907840 229253120 232835200 235489280 241111040 244878400 247527325 256921600 257428418 259700800 262661120 266765200 270088832 273133600 279884800 284058944 286566400 289832960 294361600 298029056 301388800 308838400 313444352 316834976 324812800 328326400 332417024 337611040 341459456 344473600 349611008 355073680 358252544 362291200 372536320 376782848 385777664 391805440 396043720 411074560 415521280 420257792 422013800 426824320 437013760 443842100 447815680 458506240 465670400 470978560 482222080 489756800 495054650 513843200 514856836 519401600 525322240 533530400 540177664 546267200 559769600 568117888 573132800 588723200 596058112 602777600 626888704 633669952 643571045 649625600 656652800 664834048 675222080 682918912 688947200 699222016 710147360 724582400 745072640 753565696 783610880 792087440 831042560 840515584 844027600 853648640 874027520 887684200 895631360 917012480 931340800 941957120 964444160 979513600 990109300 1027686400 1029713672 1038803200 1050644480 1067060800 1080355328 1092534400 1119539200 1136235776 1146265600 1177446400 1192116224 1205555200 1253777408 1267339904 1287142090 1313305600 1329668096 1350444160 1365837824 1398444032 1420294720 1449164800 1490145280 1567221760 1584174880 1662085120 1681031168 1688055200 1707297280 1748055040 1775368400 1791262720 1862681600 1883914240 1928888320 1959027200 1980218600 2055372800 2059427344 2077606400 2101288960 2134121600 2160710656 2185068800 2239078400 2272471552 2292531200 2354892800 2384232448 2411110400 2507554816 2534679808 2574284180 2626611200 2659336192 2700888320 2731675648 2796888064 2840589440 2980290560 3134443520 3168349760 3217855225 3324170240 3376110400 3414594560 3496110080 3550736800 3725363200 3767828480 3918054400 3960437200 4118854688 4155212800 4202577920 4268243200 4321421312 4370137600 4478156800 4544943104 4585062400 4709785600 4822220800 5015109632 5069359616 5148568360 5253222400 5318672384 5401776640 5463351296 5593776128 5681178880 5960581120 6268887040 6336699520 6435710450 6648340480 6752220800 6829189120 6992220160 7101473600 7450726400 7836108800 7920874400 8237709376 8310425600 8405155840 8536486400 8642842624 8740275200 8956313600 9089886208 9419571200 9644441600 10138719232 10297136720 10506444800 10803553280 10926702592 11187552256 11362357760 11921162240 12537774080 12673399040 12871420900 13296680960 13504441600 13658378240 13984440320 14202947200 14901452800 15672217600 15841748800 16475418752 16620851200 17072972800 17285685248 17480550400 18179772416 18839142400 20277438464 20594273440 21012889600 21607106560 21853405184 22724715520 25075548160 25346798080 25742841800 26593361920 27008883200 27316756480 27968880640 28405894400 29802905600 31344435200 31683497600 32950837504 33241702400 34145945600 34571370496 34961100800 36359544832 40554876928 41188546880 42025779200 43214213120 45449431040 50693596160 51485683600 54017766400 54633512960 55937761280 56811788800 59605811200 62688870400 63366995200 65901675008 66483404800 68291891200 69142740992 69922201600 72719089664 81109753856 82377093760 86428426240 90898862080 101387192320 102971367200 108035532800 109267025920 113623577600 125377740800 126733990400 131803350016 132966809600 136583782400 139844403200 145438179328 162219507712 164754187520 172856852480 181797724160 202774384640 205942734400 216071065600 227247155200 253467980800 263606700032 273167564800 279688806400 324439015424 329508375040 345713704960 363595448320 405548769280 411885468800 432142131200 454494310400 506935961600 527213400064 546335129600 659016750080 727190896640 811097538560 823770937600 864284262400 908988620800 1013871923200 1054426800128 1318033500160 1622195077120 1647541875200 1728568524800 1817977241600 2027743846400 2108853600256 2636067000320 3295083750400 3635954483200 4055487692800 4217707200512 5272134000640 6590167500800 8110975385600 10544268001280 13180335001600 21088536002560 26360670003200 52721340006400 105442680012800
- Sum of all divisors σ(n): 297971418009720
- Sum of proper divisors (its aliquot sum) s(n): 192528737996920
- 105442680012800 is an abundant number, because the sum of its proper divisors (192528737996920) is greater than itself. Its abundance is 87086057984120
Bases of 105442680012800
- Binary: 101111111100110010010010111110010000000000000002
- Hexadecimal: 0x5FE6497C8000
- Base-36: 11DJP58AGW
Squares and roots of 105442680012800
- 105442680012800 squared (1054426800128002) is 11118158768281732608163840000
- 105442680012800 cubed (1054426800128003) is 1172328457335437313482191346075697152000000
-
The
square root of 105442680012800 is 10268528.6196611441 -
The
cube root of 105442680012800 is 47243.1461761137
Scales and comparisons
How big is 105442680012800?- 105,442,680,012,800 seconds is equal to 3,352,751 years, 3 weeks, 4 days, 53 minutes, 20 seconds.
-
To count from 1 to 105,442,680,012,800 would take you about eight million, three hundred eighty-one thousand, eight hundred seventy-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 105442680012800 cubic inches would be around 3936.9 feet tall.
Recreational maths with 105442680012800
- 105442680012800 backwards is 008210086244501
- The number of decimal digits it has is: 15
- The sum of 105442680012800's digits is 41
- More coming soon!
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The information we have on file for 105442680012800 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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