13664213205268496000
13,664,213,205,268,496,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13664213205268496000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2048 divisors.
13664213205268496000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 13664213205268496000:
27 × 53 × 13 × 53 × 61 × 137 × 4957 × 29921
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 53 × 61 × 137 × 4957 × 29921)See below for interesting mathematical facts about the number 13664213205268496000 from the Numbermatics database.
Names of 13664213205268496000
- Cardinal: 13664213205268496000 can be written as Thirteen quintillion, six hundred sixty-four quadrillion, two hundred thirteen trillion, two hundred five billion, two hundred sixty-eight million, four hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.3664213205268496 × 1019
Factors of 13664213205268496000
Divisors of 13664213205268496000
- Number of divisors d(n): 2048
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 53 61 64 65 80 100 104 106 122 125 128 130 137 160 200 208 212 244 250 260 265 274 305 320 325 400 416 424 488 500 520 530 548 610 640 650 685 689 793 800 832 848 976 1000 1040 1060 1096 1220 1300 1325 1370 1378 1525 1586 1600 1625 1664 1696 1781 1952 2000 2080 2120 2192 2440 2600 2650 2740 2756 3050 3172 3200 3233 3250 3392 3425 3445 3562 3904 3965 4000 4160 4240 4384 4880 4957 5200 5300 5480 5512 6100 6344 6466 6500 6625 6784 6850 6890 7124 7261 7625 7808 7930 8000 8320 8357 8480 8768 8905 9760 9914 10400 10600 10960 11024 12200 12688 12932 13000 13250 13700 13780 14248 14522 15250 15860 16000 16165 16714 16960 17125 17225 17536 17810 19520 19825 19828 20800 21200 21920 22048 24400 24785 25376 25864 26000 26500 27400 27560 28496 29044 29921 30500 31720 32330 33428 33920 34250 34450 35620 36305 39040 39650 39656 41600 41785 42029 42400 43840 44096 44525 48800 49570 50752 51728 52000 53000 54800 55120 56992 58088 59842 61000 63440 64441 64660 66856 68500 68900 71240 72610 79300 79312 80825 83570 84058 84800 86125 87680 88192 89050 94393 97600 99125 99140 101504 103456 104000 106000 108641 109600 110240 113984 116176 119684 122000 123925 126880 128882 129320 133712 137000 137800 142480 145220 149605 158600 158624 161650 167140 168116 169600 172250 178100 181525 188786 195200 198250 198280 206912 208000 208925 210145 212000 217282 219200 220480 222625 227968 232352 239368 244000 247850 253760 257764 258640 262721 267424 274000 275600 284960 290440 299210 302377 317200 317248 322205 323300 334280 336232 344500 356200 363050 377572 388973 396500 396560 404125 413824 417850 420290 424000 434564 438400 440960 442921 445250 464704 471965 478736 488000 495700 507520 515528 517280 525442 534848 543205 548000 551200 569920 580880 598420 604754 619625 634400 634496 644410 646600 668560 672464 679109 689000 712400 726100 748025 755144 777946 793000 793120 808250 835700 840580 848000 869128 885842 890500 907625 929408 943930 957472 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560008737920840 619748421864500 623367390751300 644538358739080 656933327176370 689137240532000 689241523594880 700010922401050 767221404001600 779209238439125 793277979986560 797910260161664 805672948423850 817531004264000 845296208182400 854013325329281 861551904493600 896013980673344 940931910568000 959026755002000 991597474983200 997387825202080 1031261373982528 1051093323482192 1056620260228000 1076939880617000 1120017475841680 1239496843729000 1246734781502600 1289076717478160 1313866654352740 1378274481064000 1400021844802100 1534442808003200 1558418476878250 1611345896847700 1635062008528000 1642333317940925 1708026650658562 1723103808987200 1750027306002625 1792027961346688 1881863821136000 1918053510004000 1983194949966400 1994775650404160 2014182371059625 2062522747965056 2102186646964384 2113240520456000 2153879761234000 2240034951683360 2478993687458000 2493469563005200 2578153434956320 2627733308705480 2756548962128000 2800043689604200 3116836953756500 3222691793695400 3284666635881850 3416053301317124 3446207617974400 3500054612005250 3836107020008000 3966389899932800 3989551300808320 4028364742119250 4204373293928768 4226481040912000 4270066626646405 4307759522468000 4480069903366720 4957987374916000 4986939126010400 5156306869912640 5255466617410960 5600087379208400 6233673907513000 6445383587390800 6569333271763700 6832106602634248 7000109224010500 7672214040016000 8056729484238500 8211666589704625 8408746587857536 8540133253292810 8615519044936000 8960139806733440 9915974749832000 9973878252020800 10312613739825280 10510933234821920 11200174758416800 12467347815026000 12890767174781600 13138666543527400 13664213205268496 14000218448021000 16113458968477000 16423333179409250 17080266506585620 17231038089872000 19831949499664000 19947756504041600 21021866469643840 21350333133232025 22400349516833600 24934695630052000 25781534349563200 26277333087054800 27328426410536992 28000436896042000 32226917936954000 32846666358818500 34160533013171240 42043732939287680 42700666266464050 44800699033667200 49869391260104000 51563068699126400 52554666174109600 54656852821073984 56000873792084000 64453835873908000 65693332717637000 68321066026342480 85401332532928100 99738782520208000 105109332348219200 106751665666160125 109313705642147968 112001747584168000 128907671747816000 131386665435274000 136642132052684960 170802665065856200 210218664696438400 213503331332320250 224003495168336000 257815343495632000 262773330870548000 273284264105369920 341605330131712400 427006662664640500 525546661741096000 546568528210739840 683210660263424800 854013325329281000 1051093323482192000 1366421320526849600 1708026650658562000 2732842641053699200 3416053301317124000 6832106602634248000 13664213205268496000
- Sum of all divisors σ(n): 38172841690858318080
- Sum of proper divisors (its aliquot sum) s(n): 24508628485589822080
- 13664213205268496000 is an abundant number, because the sum of its proper divisors (24508628485589822080) is greater than itself. Its abundance is 10844415280321326080
Bases of 13664213205268496000
- Binary: 10111101101000010000100110000011100110110011101011111110100000002
- Hexadecimal: 0xBDA109839B3AFE80
- Base-36: 2VTBBBS12RIWW
Squares and roots of 13664213205268496000
- 13664213205268496000 squared (136642132052684960002) is 186710722519033945202451450102016000000
- 13664213205268496000 cubed (136642132052684960003) is 2551255120209805580032054041006443028867870887936000000000
-
The
square root of 13664213205268496000 is 3696513655.4960129079 -
The
cube root of 13664213205268496000 is 2390717.2211391823
Scales and comparisons
How big is 13664213205268496000?- 13,664,213,205,268,496,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,664,213,205,268,496,000 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 13664213205268496000 cubic inches would be around 199226.4 feet tall.
Recreational maths with 13664213205268496000
- 13664213205268496000 backwards is 00069486250231246631
- The number of decimal digits it has is: 20
- The sum of 13664213205268496000's digits is 68
- More coming soon!
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"Number 13664213205268496000 - Facts about the integer". Numbermatics.com. 2024. Web. 30 May 2024.
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Numbermatics. (2024). Number 13664213205268496000 - Facts about the integer. Retrieved 30 May 2024, from https://numbermatics.com/n/13664213205268496000/
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The information we have on file for 13664213205268496000 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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