21428400940646400
21,428,400,940,646,400 is an even composite number composed of five prime numbers multiplied together.
21428400940646400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, seven hundred thirty-six divisors.
Prime factorization of 21428400940646400:
218 × 33 × 52 × 173 × 1572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 17 × 17 × 157 × 157)See below for interesting mathematical facts about the number 21428400940646400 from the Numbermatics database.
Names of 21428400940646400
- Cardinal: 21428400940646400 can be written as Twenty-one quadrillion, four hundred twenty-eight trillion, four hundred billion, nine hundred forty million, six hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 2.14284009406464 × 1016
Factors of 21428400940646400
Divisors of 21428400940646400
- Number of divisors d(n): 2736
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 85 90 96 100 102 108 120 128 135 136 144 150 153 157 160 170 180 192 200 204 216 225 240 255 256 270 272 288 289 300 306 314 320 340 360 384 400 408 425 432 450 459 471 480 510 512 540 544 576 578 600 612 628 640 675 680 720 765 768 785 800 816 850 864 867 900 918 942 960 1020 1024 1080 1088 1152 1156 1200 1224 1256 1275 1280 1350 1360 1413 1440 1445 1530 1536 1570 1600 1632 1700 1728 1734 1800 1836 1884 1920 2040 2048 2160 2176 2295 2304 2312 2355 2400 2448 2512 2550 2560 2601 2669 2700 2720 2826 2880 2890 3060 3072 3140 3200 3264 3400 3456 3468 3600 3672 3768 3825 3840 3925 4080 4096 4239 4320 4335 4352 4590 4608 4624 4710 4800 4896 4913 5024 5100 5120 5202 5338 5400 5440 5652 5760 5780 6120 6144 6280 6400 6528 6800 6912 6936 7065 7200 7225 7344 7536 7650 7680 7803 7850 8007 8160 8192 8478 8640 8670 8704 9180 9216 9248 9420 9600 9792 9826 10048 10200 10240 10404 10676 10800 10880 11304 11475 11520 11560 11775 12240 12288 12560 12800 13005 13056 13345 13600 13824 13872 14130 14400 14450 14688 14739 15072 15300 15360 15606 15700 16014 16320 16384 16956 17280 17340 17408 18360 18432 18496 18840 19200 19584 19652 20096 20400 20480 20808 21195 21352 21600 21675 21760 22608 22950 23040 23120 23550 24021 24480 24565 24576 24649 25120 25600 26010 26112 26690 27200 27648 27744 28260 28800 28900 29376 29478 30144 30600 30720 31212 31400 32028 32640 32768 33912 34560 34680 34816 35325 36720 36864 36992 37680 38400 39015 39168 39304 40035 40192 40800 40960 41616 42390 42704 43200 43350 43520 44217 45216 45373 45900 46080 46240 47100 48042 48960 49130 49152 49298 50240 51200 52020 52224 53380 54400 55296 55488 56520 57600 57800 58752 58956 60288 61200 61440 62424 62800 64056 65025 65280 65536 66725 67824 69120 69360 69632 70650 72063 73440 73695 73728 73947 73984 75360 76800 78030 78336 78608 80070 80384 81600 81920 83232 84780 85408 86400 86700 87040 88434 90432 90746 91800 92160 92480 94200 96084 97920 98260 98304 98596 100480 102400 104040 104448 105975 106760 108800 110592 110976 113040 115200 115600 117504 117912 120105 120576 122400 122825 122880 123245 124848 125600 128112 130050 130560 131072 132651 133450 135648 136119 138240 138720 139264 141300 144126 146880 147390 147456 147894 147968 150720 153600 156060 156672 157216 160140 160768 163200 163840 166464 169560 170816 172800 173400 174080 176868 180864 181492 183600 184320 184960 188400 192168 195075 195840 196520 196608 197192 200175 200960 204800 208080 208896 211950 213520 217600 221085 221184 221841 221952 226080 226865 230400 231200 235008 235824 240210 241152 244800 245650 245760 246490 249696 251200 256224 260100 261120 262144 265302 266900 271296 272238 276480 277440 278528 282600 288252 293760 294780 294912 295788 295936 301440 307200 312120 313344 314432 320280 321536 326400 327680 332928 339120 341632 345600 346800 348160 353736 360315 361728 362984 367200 368475 368640 369735 369920 376800 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257453875200 261577159920 262602952704 266575449600 267620843520 272598220800 273544742400 274617466880 279015637248 284347146240 289635609600 289780531200 290641288800 290771435520 291781058560 297356492800 303303622656 307737835200 308944650240 310017374720 315941273600 321145012224 326971449900 328253690880 329540960256 334526054400 341216575488 343271833600 348769546560 350137270272 355433932800 363464294400 364726323200 370733580288 372020849664 379129528320 386180812800 387521718400 393904429056 401431265280 410317113600 411926200320 418523455872 426520719360 434670796800 435961933200 436157153280 437671587840 446034739200 454955433984 463416975360 465026062080 466849693696 472272076800 473911910400 484619059200 492380536320 494311440384 496027799552 501789081600 505506037760 514907750400 523154319840 525205905408 533150899200 535241687040 545196441600 547089484800 549234933760 558031274496 568694292480 579271219200 581282577600 583562117120 606607245312 615475670400 617889300480 620034749440 631882547200 653942899800 656507381760 669052108800 682433150976 686543667200 697539093120 700274540544 710867865600 726928588800 729452646400 741467160576 744041699328 758259056640 772361625600 775043436800 787808858112 802862530560 820634227200 823852400640 837046911744 853041438720 869341593600 871923866400 872314306560 875343175680 892069478400 909910867968 926833950720 930052124160 933699387392 947823820800 984761072640 988622880768 992055599104 1003578163200 1011012075520 1029815500800 1046308639680 1050411810816 1066301798400 1090392883200 1094178969600 1116062548992 1137388584960 1158542438400 1162565155200 1167124234240 1230951340800 1235778600960 1240069498880 1263765094400 1307885799600 1313014763520 1338104217600 1364866301952 1373087334400 1395078186240 1400549081088 1421735731200 1453857177600 1458905292800 1482934321152 1488083398656 1516518113280 1544723251200 1550086873600 1575617716224 1605725061120 1641268454400 1647704801280 1674093823488 1706082877440 1743847732800 1750686351360 1819821735936 1853667901440 1860104248320 1867398774784 1895647641600 1969522145280 1984111198208 2007156326400 2059631001600 2092617279360 2100823621632 2132603596800 2180785766400 2188357939200 2232125097984 2274777169920 2317084876800 2325130310400 2334248468480 2461902681600 2471557201920 2480138997760 2527530188800 2615771599200 2626029527040 2676208435200 2729732603904 2746174668800 2790156372480 2801098162176 2843471462400 2917810585600 2965868642304 2976166797312 3033036226560 3089446502400 3100173747200 3151235432448 3282536908800 3348187646976 3412165754880 3487695465600 3501372702720 3707335802880 3720208496640 3791295283200 3939044290560 3968222396416 4014312652800 4119262003200 4185234558720 4201647243264 4265207193600 4361571532800 4376715878400 4464250195968 4549554339840 4634169753600 4650260620800 4668496936960 4923805363200 4943114403840 4960277995520 5055060377600 5231543198400 5252059054080 5459465207808 5580312744960 5602196324352 5686942924800 5835621171200 5952333594624 6178893004800 6200347494400 6302470864896 6565073817600 6696375293952 6824331509760 6975390931200 7002745405440 7414671605760 7440416993280 7582590566400 7878088581120 7936444792832 8028625305600 8238524006400 8370469117440 8403294486528 8530414387200 8753431756800 8928500391936 9099108679680 9268339507200 9300521241600 9336993873920 9847610726400 9920555991040 10463086396800 10504118108160 11160625489920 11373885849600 11671242342400 11904667189248 12357786009600 12400694988800 12604941729792 13130147635200 13392750587904 13648663019520 13950781862400 14005490810880 14829343211520 14880833986560 15165181132800 15756177162240 15872889585664 16740938234880 16806588973056 17060828774400 17506863513600 17857000783872 18536679014400 18601042483200 19695221452800 19841111982080 20926172793600 21008236216320 22321250979840 22747771699200 23342484684800 23809334378496 24715572019200 24801389977600 25209883459584 26260295270400 26785501175808 27297326039040 27901563724800 28010981621760 29761667973120 31512354324480 31745779171328 33481876469760 34121657548800 35013727027200 35714001567744 37073358028800 37202084966400 39390442905600 39682223964160 41852345587200 42016472432640 44642501959680 45495543398400 46684969369600 47618668756992 49602779955200 50419766919168 52520590540800 53571002351616 55803127449600 59523335946240 63024708648960 66963752939520 68243315097600 70027454054400 71428003135488 74146716057600 74404169932800 78780885811200 79364447928320 83704691174400 84032944865280 89285003919360 95237337513984 99205559910400 105041181081600 107142004703232 111606254899200 119046671892480 126049417297920 133927505879040 136486630195200 140054908108800 142856006270976 148808339865600 157561771622400 158728895856640 167409382348800 178570007838720 198411119820800 210082362163200 214284009406464 223212509798400 238093343784960 252098834595840 267855011758080 285712012541952 297616679731200 315123543244800 334818764697600 357140015677440 396822239641600 420164724326400 428568018812928 446425019596800 476186687569920 535710023516160 595233359462400 630247086489600 669637529395200 714280031354880 793644479283200 857136037625856 892850039193600 1071420047032320 1190466718924800 1260494172979200 1339275058790400 1428560062709760 1785700078387200 2142840094064640 2380933437849600 2678550117580800 3571400156774400 4285680188129280 5357100235161600 7142800313548800 10714200470323200 21428400940646400
- Sum of all divisors σ(n): 84185156595535200
- Sum of proper divisors (its aliquot sum) s(n): 62756755654888800
- 21428400940646400 is an abundant number, because the sum of its proper divisors (62756755654888800) is greater than itself. Its abundance is 41328354714242400
Bases of 21428400940646400
- Binary: 10011000010000100000100011000100010110000000000000000002
- Hexadecimal: 0x4C2104622C0000
- Base-36: 5UZQFHR56O0
Squares and roots of 21428400940646400
- 21428400940646400 squared (214284009406464002) is 459176366873095520335649832960000
- 21428400940646400 cubed (214284009406464003) is 9839415291826036512216996940455871034425344000000
-
The
square root of 21428400940646400 is 146384428.6139970559 -
The
cube root of 21428400940646400 is 277755.8755218713
Scales and comparisons
How big is 21428400940646400?- 21,428,400,940,646,400 seconds is equal to 681,356,867 years, 26 weeks, 6 days.
-
To count from 1 to 21,428,400,940,646,400 would take you about two billion, forty-four million, seventy thousand, six hundred 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 21428400940646400 cubic inches would be around 23146.3 feet tall.
Recreational maths with 21428400940646400
- 21428400940646400 backwards is 00464604900482412
- 21428400940646400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 21428400940646400's digits is 54
- More coming soon!
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Cite this page
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"Number 21428400940646400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 21428400940646400 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/21428400940646400/
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The information we have on file for 21428400940646400 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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