23813080227383116800
23,813,080,227,383,116,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 23813080227383116800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2112 divisors.
23813080227383116800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 23813080227383116800:
210 × 3 × 52 × 13 × 37 × 181 × 6793 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 37 × 181 × 6793 × 524287)See below for interesting mathematical facts about the number 23813080227383116800 from the Numbermatics database.
Names of 23813080227383116800
- Cardinal: 23813080227383116800 can be written as Twenty-three quintillion, eight hundred thirteen quadrillion, eighty trillion, two hundred twenty-seven billion, three hundred eighty-three million, one hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 2.38130802273831168 × 1019
Factors of 23813080227383116800
Divisors of 23813080227383116800
- Number of divisors d(n): 2112
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 48 50 52 60 64 65 74 75 78 80 96 100 104 111 120 128 130 148 150 156 160 181 185 192 195 200 208 222 240 256 260 296 300 312 320 325 362 370 384 390 400 416 444 480 481 512 520 543 555 592 600 624 640 650 724 740 768 780 800 832 888 905 925 960 962 975 1024 1040 1086 1110 1184 1200 1248 1280 1300 1443 1448 1480 1536 1560 1600 1664 1776 1810 1850 1920 1924 1950 2080 2172 2220 2353 2368 2400 2405 2496 2560 2600 2715 2775 2886 2896 2960 3072 3120 3200 3328 3552 3620 3700 3840 3848 3900 4160 4344 4440 4525 4706 4736 4800 4810 4992 5120 5200 5430 5550 5772 5792 5920 6240 6400 6656 6697 6793 7059 7104 7215 7240 7400 7680 7696 7800 8320 8688 8880 9050 9412 9472 9600 9620 9984 10400 10860 11100 11544 11584 11765 11840 12025 12480 12800 13312 13394 13575 13586 14118 14208 14430 14480 14800 15360 15392 15600 16640 17376 17760 18100 18824 18944 19200 19240 19968 20091 20379 20800 21720 22200 23088 23168 23530 23680 24050 24960 25600 26788 27150 27172 28236 28416 28860 28960 29600 30784 31200 33280 33485 33965 34752 35295 35520 36075 36200 37648 37888 38400 38480 39936 40182 40758 41600 43440 44400 46176 46336 47060 47360 48100 49920 53576 54300 54344 56472 56832 57720 57920 58825 59200 61568 62400 66560 66970 67930 69504 70590 71040 72150 72400 75296 76800 76960 80364 81516 83200 86880 87061 88309 88800 92352 92672 94120 94720 96200 99840 100455 101895 107152 108600 108688 112944 113664 115440 115840 117650 118400 123136 124800 133940 135860 139008 141180 142080 144300 144800 150592 153920 160728 163032 166400 167425 169825 173760 174122 176475 176618 177600 184704 185344 188240 189440 192400 199680 200910 203790 214304 217200 217376 225888 230880 231680 235300 236800 246272 249600 251341 261183 264927 267880 271720 278016 282360 284160 288600 289600 301184 307840 321456 326064 332800 334850 339650 347520 348244 352950 353236 355200 369408 376480 384800 401820 407580 428608 434400 434752 435305 441545 451776 461760 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310066148794051 316259565280800 328909947892032 330049622001152 335206647344920 337343536299520 342614529054200 350553219893760 355578322045440 357768633223905 381619875438832 386776900782600 402247976813904 404812243559424 411137434865040 412562027501440 419008309181150 421679420374400 438191524867200 438546597189376 444472902556800 477024844298540 495074433001728 502809971017380 506015304449280 513921793581300 515702534376800 536330635751872 548183246486720 572429813158248 584255366489600 592630536742400 596281055373175 618843041252160 620132297588102 628512463771725 632519130561600 657819895784064 660099244002304 670413294689840 674687072599040 685229058108400 701106439787520 711156644090880 715537266447810 763239750877664 773553801565200 804495953627808 822274869730080 825124055002880 838016618362300 843358840748800 876383049734400 877093194378752 888945805113600 930198446382153 954049688597080 990148866003456 1005619942034760 1012030608898560 1027843587162600 1031405068753600 1072661271503744 1096366492973440 1144859626316496 1168510732979200 1185261073484800 1192562110746350 1237686082504320 1240264595176204 1257024927543450 1265038261123200 1315639791568128 1340826589379680 1370458116216800 1431074532895620 1526479501755328 1547107603130400 1550330743970255 1608991907255616 1644549739460160 1650248110005760 1676033236724600 1686717681497600 1752766099468800 1754186388757504 1777891610227200 1788843166119525 1860396892764306 1908099377194160 1980297732006912 2011239884069520 2024061217797120 2055687174325200 2062810137507200 2145322543007488 2192732985946880 2289719252632992 2385124221492700 2475372165008640 2480529190352408 2514049855086900 2530076522246400 2631279583136256 2681653178759360 2740916232433600 2862149065791240 3052959003510656 3094215206260800 3100661487940510 3217983814511232 3289099478920320 3300496220011520 3352066473449200 3373435362995200 3505532198937600 3555783220454400 3577686332239050 3720793785528612 3816198754388320 4022479768139040 4111374348650400 4125620275014400 4290645086014976 4385465971893760 4579438505265984 4650992231910765 4770248442985400 4950744330017280 4961058380704816 5028099710173800 5060153044492800 5262559166272512 5363306357518720 5481832464867200 5724298131582480 6105918007021312 6188430412521600 6201322975881020 6435967629022464 6578198957840640 6704132946898400 7155372664478100 7441587571057224 7632397508776640 7751653719851275 8044959536278080 8222748697300800 8251240550028800 8581290172029952 8770931943787520 9158877010531968 9301984463821530 9540496885970800 9901488660034560 9922116761409632 10056199420347600 10120306088985600 10726612715037440 10963664929734400 11448596263164960 12211836014042624 12376860825043200 12402645951762040 12871935258044928 13156397915681280 13408265893796800 14310745328956200 14883175142114448 15264795017553280 15503307439702550 16089919072556160 16445497394601600 16502481100057600 18317754021063936 18603968927643060 19080993771941600 19844233522819264 20112398840695200 21453225430074880 21927329859468800 22897192526329920 23254961159553825 24423672028085248 24753721650086400 24805291903524080 25743870516089856 26312795831362560 26816531787593600 28621490657912400 29766350284228896 30529590035106560 31006614879405100 32179838145112320 32890994789203200 36635508042127872 37207937855286120 38161987543883200 39688467045638528 40224797681390400 42906450860149760 43854659718937600 45794385052659840 46509922319107650 49507443300172800 49610583807048160 53633063575187200 57242981315824800 59532700568457792 61059180070213120 62013229758810200 64359676290224640 65781989578406400 73271016084255744 74415875710572240 76323975087766400 79376934091277056 80449595362780800 91588770105319680 93019844638215300 99221167614096320 107266127150374400 114485962631649600 119065401136915584 122118360140426240 124026459517620400 128719352580449280 131563979156812800 148831751421144480 152647950175532800 158753868182554112 160899190725561600 183177540210639360 186039689276430600 198442335228192640 214532254300748800 228971925263299200 238130802273831168 248052919035240800 297663502842288960 305295900351065600 317507736365108224 321798381451123200 366355080421278720 372079378552861200 396884670456385280 457943850526598400 476261604547662336 496105838070481600 595327005684577920 610591800702131200 643596762902246400 744158757105722400 793769340912770560 915887701053196800 952523209095324672 992211676140963200 1190654011369155840 1488317514211444800 1587538681825541120 1831775402106393600 1984423352281926400 2381308022738311680 2976635028422889600 3968846704563852800 4762616045476623360 5953270056845779200 7937693409127705600 11906540113691558400 23813080227383116800
- Sum of all divisors σ(n): 87542311208074870784
- Sum of proper divisors (its aliquot sum) s(n): 63729230980691753984
- 23813080227383116800 is an abundant number, because the sum of its proper divisors (63729230980691753984) is greater than itself. Its abundance is 39916150753308637184
Bases of 23813080227383116800
- Binary: 101001010011110010000111001001100101110010000110010000100000000002
- Hexadecimal: 0x14A790E4CB90C8400
- Base-36: 50X54FLUOH1XC
Squares and roots of 23813080227383116800
- 23813080227383116800 squared (238130802273831168002) is 567062789915784753718569805682442240000
- 23813080227383116800 cubed (238130802273831168003) is 13503511710228280195435347086749244110943267567173632000000
-
The
square root of 23813080227383116800 is 4879864775.5222804739 -
The
cube root of 23813080227383116800 is 2876991.1440189065
Scales and comparisons
How big is 23813080227383116800?- 23,813,080,227,383,116,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 23,813,080,227,383,116,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 23813080227383116800 cubic inches would be around 239749.3 feet tall.
Recreational maths with 23813080227383116800
- 23813080227383116800 backwards is 00861138372208031832
- The number of decimal digits it has is: 20
- The sum of 23813080227383116800's digits is 66
- More coming soon!
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"Number 23813080227383116800 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 23813080227383116800 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/23813080227383116800/
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Numbermatics. 2024. "Number 23813080227383116800 - Facts about the integer". https://numbermatics.com/n/23813080227383116800/
The information we have on file for 23813080227383116800 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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