13345146667271372800
13,345,146,667,271,372,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 13345146667271372800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
13345146667271372800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13345146667271372800:
214 × 52 × 7 × 112 × 23 × 11873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 23 × 1187 × 1187 × 1187)See below for interesting mathematical facts about the number 13345146667271372800 from the Numbermatics database.
Names of 13345146667271372800
- Cardinal: 13345146667271372800 can be written as Thirteen quintillion, three hundred forty-five quadrillion, one hundred forty-six trillion, six hundred sixty-seven billion, two hundred seventy-one million, three hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.33451466672713728 × 1019
Factors of 13345146667271372800
Divisors of 13345146667271372800
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 23 25 28 32 35 40 44 46 50 55 56 64 70 77 80 88 92 100 110 112 115 121 128 140 154 160 161 175 176 184 200 220 224 230 242 253 256 275 280 308 320 322 350 352 368 385 400 440 448 460 484 506 512 550 560 575 605 616 640 644 700 704 736 770 800 805 847 880 896 920 968 1012 1024 1100 1120 1150 1187 1210 1232 1265 1280 1288 1400 1408 1472 1540 1600 1610 1694 1760 1771 1792 1840 1925 1936 2024 2048 2200 2240 2300 2374 2420 2464 2530 2560 2576 2783 2800 2816 2944 3025 3080 3200 3220 3388 3520 3542 3584 3680 3850 3872 4025 4048 4096 4235 4400 4480 4600 4748 4840 4928 5060 5120 5152 5566 5600 5632 5888 5935 6050 6160 6325 6400 6440 6776 7040 7084 7168 7360 7700 7744 8050 8096 8192 8309 8470 8800 8855 8960 9200 9496 9680 9856 10120 10240 10304 11132 11200 11264 11776 11870 12100 12320 12650 12800 12880 13057 13552 13915 14080 14168 14336 14720 15400 15488 16100 16192 16384 16618 16940 17600 17710 17920 18400 18992 19360 19481 19712 20240 20480 20608 21175 22264 22400 22528 23552 23740 24200 24640 25300 25600 25760 26114 27104 27301 27830 28160 28336 28672 29440 29675 30800 30976 32200 32384 33236 33880 35200 35420 35840 36800 37984 38720 38962 39424 40480 40960 41216 41545 42350 44275 44528 44800 45056 47104 47480 48400 49280 50600 51200 51520 52228 54208 54602 55660 56320 56672 57344 58880 59350 61600 61952 64400 64768 65285 66472 67760 69575 70400 70840 71680 73600 75968 77440 77924 78848 80960 81920 82432 83090 84700 88550 89056 89600 90112 91399 94208 94960 96800 97405 98560 101200 102400 103040 104456 108416 109204 111320 112640 113344 114688 117760 118700 123200 123904 128800 129536 130570 132944 135520 136505 139150 140800 141680 143360 143627 147200 151936 154880 155848 157696 161920 164864 166180 169400 177100 178112 179200 180224 182798 188416 189920 191107 193600 194810 197120 202400 204800 206080 207725 208912 216832 218408 222640 225280 226688 235520 237400 246400 247808 257600 259072 261140 265888 271040 273010 278300 281600 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488815305932800 492368162163200 511034183475200 518056935841280 521294791690288 527476152856576 541604978379520 551452341622784 562137601822720 566624773576400 592380445102600 595765476217472 599404719155200 630231247568896 647571169801600 651618489612860 659345191070720 677006222974400 685033964748800 689315427028480 702672002278400 725279710177792 744706845271840 753537361223680 758246969731328 787789059461120 803053716889600 814523112016075 824181488838400 828891097346048 861644283785600 866567965407232 906599637722240 930883556589800 941921701529600 947808712164160 959047550648320 984736324326400 1022068366950400 1036113871682560 1042589583380576 1054952305713152 1083209956759040 1102904683245568 1124275203645440 1133249547152800 1184760890205200 1191530952434944 1198809438310400 1295142339603200 1303236979225720 1318690382141440 1354012445948800 1378630854056960 1405344004556800 1450559420355584 1489413690543680 1507074722447360 1516493939462656 1575578118922240 1606107433779200 1629046224032150 1648362977676800 1657782194692096 1723288567571200 1733135930814464 1813199275444480 1861767113179600 1883843403059200 1895617424328320 1969472648652800 2072227743365120 2085179166761152 2109904611426304 2166419913518080 2205809366491136 2248550407290880 2266499094305600 2369521780410400 2383061904869888 2397618876620800 2590284679206400 2606473958451440 2637380764282880 2708024891897600 2757261708113920 2810688009113600 2901118840711168 2978827381087360 3032987878925312 3151156237844480 3258092448064300 3296725955353600 3315564389384192 3446577135142400 3466271861628928 3626398550888960 3723534226359200 3767686806118400 3791234848656640 3938945297305600 4144455486730240 4170358333522304 4332839827036160 4411618732982272 4532998188611200 4739043560820800 4766123809739776 4795237753241600 5180569358412800 5212947916902880 5274761528565760 5416049783795200 5514523416227840 5621376018227200 5802237681422336 5957654762174720 6065975757850624 6516184896128600 6593451910707200 6893154270284800 6932543723257856 7252797101777920 7447068452718400 7535373612236800 7582469697313280 7877890594611200 8288910973460480 8340716667044608 8665679654072320 9065996377222400 9478087121641600 9532247619479552 10361138716825600 10425895833805760 10549523057131520 10832099567590400 11029046832455680 11242752036454400 11604475362844672 11915309524349440 12131951515701248 13032369792257200 13186903821414400 13786308540569600 14505594203555840 14894136905436800 15164939394626560 15755781189222400 16577821946920960 16681433334089216 17331359308144640 18131992754444800 18956174243283200 19064495238959104 20722277433651200 20851791667611520 21664199135180800 22058093664911360 23208950725689344 23830619048698880 24263903031402496 26064739584514400 26373807642828800 27572617081139200 29011188407111680 29788273810873600 30329878789253120 33362866668178432 34662718616289280 36263985508889600 37912348486566400 38128990477918208 41444554867302400 41703583335223040 43328398270361600 47661238097397760 48527806062804992 52129479169028800 52747615285657600 55145234162278400 58022376814223360 59576547621747200 60659757578506240 66725733336356864 72527971017779200 75824696973132800 76257980955836416 82889109734604800 83407166670446080 86656796540723200 95322476194795520 104258958338057600 110290468324556800 116044753628446720 119153095243494400 121319515157012480 133451466672713728 145055942035558400 151649393946265600 166814333340892160 173313593081446400 190644952389591040 208517916676115200 238306190486988800 242639030314024960 266902933345427456 290111884071116800 303298787892531200 333628666681784320 381289904779182080 417035833352230400 476612380973977600 533805866690854912 580223768142233600 606597575785062400 667257333363568640 834071666704460800 953224761947955200 1213195151570124800 1334514666727137280 1668143333408921600 1906449523895910400 2669029333454274560 3336286666817843200 6672573333635686400 13345146667271372800
- Sum of all divisors σ(n): 43417961723193361920
- Sum of proper divisors (its aliquot sum) s(n): 30072815055921989120
- 13345146667271372800 is an abundant number, because the sum of its proper divisors (30072815055921989120) is greater than itself. Its abundance is 16727668388650616320
Bases of 13345146667271372800
- Binary: 10111001001100110111110000110000001100100011001011000000000000002
- Hexadecimal: 0xB9337C303232C000
- Base-36: 2TE1NOFZT5TZ4
Squares and roots of 13345146667271372800
- 13345146667271372800 squared (133451466672713728002) is 178092939570984228523942558396579840000
- 13345146667271372800 cubed (133451466672713728003) is 2376676398980282166867467151735952475086636661604352000000
-
The
square root of 13345146667271372800 is 3653100965.9289972601 -
The
cube root of 13345146667271372800 is 2371962.3090758585
Scales and comparisons
How big is 13345146667271372800?- 13,345,146,667,271,372,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,345,146,667,271,372,800 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 13345146667271372800 cubic inches would be around 197663.5 feet tall.
Recreational maths with 13345146667271372800
- 13345146667271372800 backwards is 00827317276664154331
- The number of decimal digits it has is: 20
- The sum of 13345146667271372800's digits is 76
- More coming soon!
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"Number 13345146667271372800 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
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Numbermatics. (2024). Number 13345146667271372800 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/13345146667271372800/
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Numbermatics. 2024. "Number 13345146667271372800 - Facts about the integer". https://numbermatics.com/n/13345146667271372800/
The information we have on file for 13345146667271372800 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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