21027131346124800
21,027,131,346,124,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 21027131346124800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2700 divisors.
21027131346124800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, seven hundred divisors.
Prime factorization of 21027131346124800:
219 × 32 × 52 × 134 × 792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 13 × 79 × 79)See below for interesting mathematical facts about the number 21027131346124800 from the Numbermatics database.
Names of 21027131346124800
- Cardinal: 21027131346124800 can be written as Twenty-one quadrillion, twenty-seven trillion, one hundred thirty-one billion, three hundred forty-six million, one hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 2.10271313461248 × 1016
Factors of 21027131346124800
Divisors of 21027131346124800
- Number of divisors d(n): 2700
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 79 80 90 96 100 104 117 120 128 130 144 150 156 158 160 169 180 192 195 200 208 225 234 237 240 256 260 288 300 312 316 320 325 338 360 384 390 395 400 416 450 468 474 480 507 512 520 576 585 600 624 632 640 650 676 711 720 768 780 790 800 832 845 900 936 948 960 975 1014 1024 1027 1040 1152 1170 1185 1200 1248 1264 1280 1300 1352 1422 1440 1521 1536 1560 1580 1600 1664 1690 1800 1872 1896 1920 1950 1975 2028 2048 2054 2080 2197 2304 2340 2370 2400 2496 2528 2535 2560 2600 2704 2844 2880 2925 3042 3072 3081 3120 3160 3200 3328 3380 3555 3600 3744 3792 3840 3900 3950 4056 4096 4108 4160 4225 4394 4608 4680 4740 4800 4992 5056 5070 5120 5135 5200 5408 5688 5760 5850 5925 6084 6144 6162 6240 6241 6320 6400 6591 6656 6760 7110 7200 7488 7584 7605 7680 7800 7900 8112 8192 8216 8320 8450 8788 9216 9243 9360 9480 9600 9984 10112 10140 10240 10270 10400 10816 10985 11376 11520 11700 11850 12168 12288 12324 12480 12482 12640 12675 12800 13182 13312 13351 13520 14220 14400 14976 15168 15210 15360 15405 15600 15800 16224 16384 16432 16640 16900 17576 17775 18432 18486 18720 18723 18960 19200 19773 19968 20224 20280 20480 20540 20800 21632 21970 22752 23040 23400 23700 24336 24576 24648 24960 24964 25280 25350 25600 25675 26364 26624 26702 27040 28440 28561 28800 29952 30336 30420 30720 30810 31200 31205 31600 32448 32768 32864 32955 33280 33800 35152 35550 36864 36972 37440 37446 37920 38025 38400 39546 39936 40053 40448 40560 40960 41080 41600 43264 43940 45504 46080 46215 46800 47400 48672 49152 49296 49920 49928 50560 50700 51200 51350 52728 53248 53404 54080 54925 56169 56880 57122 57600 59904 60672 60840 61440 61620 62400 62410 63200 64896 65536 65728 65910 66560 66755 67600 70304 71100 73728 73944 74880 74892 75840 76050 76800 77025 79092 79872 80106 80896 81120 81133 81920 82160 83200 85683 86528 87880 91008 92160 92430 93600 93615 94800 97344 98304 98592 98865 99840 99856 101120 101400 102400 102700 105456 106496 106808 108160 109850 112338 113760 114244 115200 119808 120159 121344 121680 122880 123240 124800 124820 126400 129792 131072 131456 131820 133120 133510 135200 140608 142200 142805 147456 147888 149760 149784 151680 152100 153600 154050 156025 158184 159744 160212 161792 162240 162266 163840 164320 164775 166400 171366 173056 173563 175760 182016 184320 184860 187200 187230 189600 194688 196608 197184 197730 199680 199712 200265 202240 202800 204800 205400 210912 212992 213616 216320 219700 224676 227520 228488 230400 231075 239616 240318 242688 243360 243399 245760 246480 249600 249640 252800 257049 259584 262144 262912 263640 266240 267020 270400 280845 281216 284400 285610 294912 295776 299520 299568 303360 304200 307200 308100 312050 316368 319488 320424 323584 324480 324532 327680 328640 329550 332800 333775 342732 346112 347126 351520 364032 368640 369720 374400 374460 379200 389376 393216 394368 395460 399360 399424 400530 404480 405600 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131630179200 132928307200 134767706112 136495497216 136895386368 138245439488 138628239360 140383027200 140405524480 142182809600 142599360800 147243663360 147870121984 149544345600 155526119424 157494804480 157956215040 159513968640 159955660800 160424280900 162006374400 166353887232 168459632640 168486629376 170619371520 171119232960 172806799360 173285299200 174994227200 175506905600 182527181824 184054579200 184837652480 187177369600 191416762368 194407649280 196868505600 197445268800 199392460800 204743245824 205343079552 207368159232 207942359040 210574540800 210608286720 212685291520 213274214400 213899041200 216008499200 221805182976 224612843520 224648839168 227492495360 228158977280 231047065600 239270952960 243009561600 245406105600 252729944064 255929057280 256678849440 259168665600 259210199040 259927948800 262491340800 263260358400 265856614400 272990994432 273790772736 276490878976 277256478720 280766054400 280811048960 284365619200 285198721600 295740243968 299088691200 311052238848 314989608960 315912430080 319027937280 319911321600 320848561800 324012748800 332707774464 336919265280 336973258752 341238743040 342238465920 345613598720 346570598400 351013811200 365054363648 368109158400 369675304960 374354739200 382833524736 388815298560 393737011200 394890537600 398784921600 409486491648 410686159104 414736318464 415884718080 421149081600 421216573440 426548428800 427798082400 432016998400 443610365952 449297678336 454984990720 456317954560 462094131200 478541905920 486019123200 505459888128 511858114560 513357698880 518420398080 519855897600 524982681600 526520716800 531713228800 547581545472 552981757952 554512957440 561532108800 561622097920 568731238400 570397443200 591480487936 598177382400 622104477696 631824860160 638055874560 639822643200 641697123600 648025497600 665415548928 673838530560 673946517504 682477486080 684476931840 691227197440 693141196800 702027622400 730108727296 736218316800 739350609920 777630597120 787474022400 789781075200 797569843200 818972983296 821372318208 829472636928 831769436160 842298163200 842433146880 853096857600 855596164800 864033996800 887220731904 898595356672 912635909120 924188262400 957083811840 972038246400 1010919776256 1023716229120 1026715397760 1036840796160 1039711795200 1053041433600 1063426457600 1095163090944 1109025914880 1123064217600 1123244195840 1137462476800 1140794886400 1182960975872 1196354764800 1244208955392 1263649720320 1279645286400 1283394247200 1296050995200 1330831097856 1347893035008 1364954972160 1368953863680 1382454394880 1386282393600 1404055244800 1460217454592 1478701219840 1555261194240 1574948044800 1579562150400 1595139686400 1642744636416 1658945273856 1663538872320 1684596326400 1684866293760 1706193715200 1711192329600 1728067993600 1774441463808 1797190713344 1825271818240 1848376524800 1914167623680 1944076492800 2021839552512 2047432458240 2053430795520 2073681592320 2079423590400 2106082867200 2190326181888 2218051829760 2246488391680 2274924953600 2281589772800 2392709529600 2488417910784 2527299440640 2559290572800 2566788494400 2592101990400 2661662195712 2695786070016 2737907727360 2764908789760 2772564787200 2808110489600 2920434909184 2957402439680 3110522388480 3159124300800 3190279372800 3285489272832 3327077744640 3369192652800 3369732587520 3412387430400 3422384659200 3456135987200 3548882927616 3594381426688 3650543636480 3696753049600 3888152985600 4043679105024 4094864916480 4106861591040 4147363184640 4158847180800 4212165734400 4380652363776 4436103659520 4492976783360 4563179545600 4785419059200 4976835821568 5054598881280 5118581145600 5133576988800 5184203980800 5323324391424 5391572140032 5475815454720 5545129574400 5616220979200 5840869818368 5914804879360 6221044776960 6318248601600 6570978545664 6654155489280 6739465175040 6824774860800 6844769318400 6912271974400 7188762853376 7301087272960 7393506099200 7776305971200 8087358210048 8213723182080 8294726369280 8317694361600 8424331468800 8761304727552 8872207319040 8985953566720 9126359091200 9570838118400 10109197762560 10237162291200 10267153977600 10368407961600 10646648782848 10783144280064 10951630909440 11090259148800 11232441958400 11681739636736 12442089553920 12636497203200 13141957091328 13308310978560 13478930350080 13689538636800 13824543948800 14602174545920 14787012198400 15552611942400 16174716420096 16427446364160 16635388723200 16848662937600 17522609455104 17744414638080 17971907133440 18252718182400 20218395525120 20474324582400 20534307955200 20736815923200 21566288560128 21903261818880 22180518297600 22464883916800 23363479273472 24884179107840 25272994406400 26283914182656 26616621957120 26957860700160 27379077273600 29204349091840 29574024396800 31105223884800 32349432840192 32854892728320 33270777446400 33697325875200 35045218910208 35943814266880 36505436364800 40436791050240 41068615910400 41473631846400 43806523637760 44361036595200 44929767833600 46726958546944 50545988812800 52567828365312 53233243914240 53915721400320 54758154547200 58408698183680 62210447769600 64698865680384 65709785456640 66541554892800 67394651750400 70090437820416 73010872729600 80873582100480 82137231820800 87613047275520 88722073190400 89859535667200 93453917093888 101091977625600 105135656730624 107831442800640 109516309094400 116817396367360 124420895539200 131419570913280 133083109785600 134789303500800 140180875640832 146021745459200 161747164200960 164274463641600 175226094551040 179719071334400 202183955251200 210271313461248 219032618188800 233634792734720 262839141826560 266166219571200 269578607001600 280361751281664 292043490918400 323494328401920 328548927283200 350452189102080 404367910502400 420542626922496 438065236377600 467269585469440 525678283653120 539157214003200 584086981836800 657097854566400 700904378204160 808735821004800 841085253844992 876130472755200 1051356567306240 1168173963673600 1314195709132800 1401808756408320 1617471642009600 1752260945510400 2102713134612480 2336347927347200 2628391418265600 3504521891020800 4205426269224960 5256782836531200 7009043782041600 10513565673062400 21027131346124800
- Sum of all divisors σ(n): 82646540921169225
- Sum of proper divisors (its aliquot sum) s(n): 61619409575044425
- 21027131346124800 is an abundant number, because the sum of its proper divisors (61619409575044425) is greater than itself. Its abundance is 40592278228919625
Bases of 21027131346124800
- Binary: 10010101011010000010000100001101000100000000000000000002
- Hexadecimal: 0x4AB41086880000
- Base-36: 5R1HUSB1FK0
Squares and roots of 21027131346124800
- 21027131346124800 squared (210271313461248002) is 442140252647184143699977175040000
- 21027131346124800 cubed (210271313461248003) is 9296941165821144290158327057901869955284992000000
-
The
square root of 21027131346124800 is 145007349.2831477145 -
The
cube root of 21027131346124800 is 276011.1813108477
Scales and comparisons
How big is 21027131346124800?- 21,027,131,346,124,800 seconds is equal to 668,597,735 years, 32 weeks, 1 day, 8 hours.
-
To count from 1 to 21,027,131,346,124,800 would take you about two billion, five million, seven hundred ninety-three thousand, two hundred six 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 21027131346124800 cubic inches would be around 23000.9 feet tall.
Recreational maths with 21027131346124800
- 21027131346124800 backwards is 00842164313172012
- 21027131346124800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 21027131346124800's digits is 45
- More coming soon!
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"Number 21027131346124800 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 21027131346124800 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/21027131346124800/
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Numbermatics. 2024. "Number 21027131346124800 - Facts about the integer". https://numbermatics.com/n/21027131346124800/
The information we have on file for 21027131346124800 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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