13084505294706435200
13,084,505,294,706,435,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 13084505294706435200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
13084505294706435200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 13084505294706435200:
27 × 52 × 132 × 432 × 732 × 15672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 43 × 43 × 73 × 73 × 1567 × 1567)See below for interesting mathematical facts about the number 13084505294706435200 from the Numbermatics database.
Names of 13084505294706435200
- Cardinal: 13084505294706435200 can be written as Thirteen quintillion, eighty-four quadrillion, five hundred five trillion, two hundred ninety-four billion, seven hundred six million, four hundred thirty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.30845052947064352 × 1019
Factors of 13084505294706435200
Divisors of 13084505294706435200
- Number of divisors d(n): 1944
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 43 50 52 64 65 73 80 86 100 104 128 130 146 160 169 172 200 208 215 260 292 320 325 338 344 365 400 416 430 520 559 584 640 650 676 688 730 800 832 845 860 949 1040 1075 1118 1168 1300 1352 1376 1460 1567 1600 1664 1690 1720 1825 1849 1898 2080 2150 2236 2336 2600 2704 2752 2795 2920 3134 3139 3200 3380 3440 3650 3698 3796 4160 4225 4300 4472 4672 4745 5200 5329 5408 5504 5590 5840 6268 6278 6760 6880 7267 7300 7396 7592 7835 8320 8450 8600 8944 9245 9344 9490 10400 10658 10816 11180 11680 12337 12536 12556 13520 13760 13975 14534 14600 14792 15184 15670 15695 16900 17200 17888 18490 18980 20371 20800 21316 21632 22360 23360 23725 24037 24674 25072 25112 26645 27040 27520 27950 29068 29200 29584 30368 31340 31390 33800 34400 35776 36335 36980 37960 39175 40742 40807 41600 42632 44720 46225 46720 47450 48074 49348 50144 50224 53290 54080 55900 58136 58400 59168 60736 61685 62680 62780 67381 67600 68800 69277 71552 72670 73960 75920 78350 78475 81484 81614 85264 89440 92450 94900 96148 98696 100288 100448 101855 106580 108160 111800 114391 116272 116800 118336 120185 121472 123370 125360 125560 133225 134762 134977 135200 137600 138554 145340 147920 151840 156700 156950 162968 163228 170528 178880 181675 184900 189800 192296 197392 200576 200896 203710 204035 213160 223600 228782 229147 232544 233600 236672 240370 246740 250720 251120 264823 266450 269524 269954 270400 277108 290680 295840 303680 308425 312481 313400 313900 325936 326456 336905 341056 346385 357760 363350 369800 379600 384592 394784 401792 407420 408070 426320 447200 457564 458294 465088 480740 493480 501440 502240 509275 529646 530491 532900 539048 539908 540800 554216 571955 581360 591680 600925 607360 616850 624962 626800 627800 651872 652912 673810 674885 682112 692770 726700 739600 759200 769184 789568 814840 816140 852640 875953 894400 900601 915128 916588 930176 961480 986960 1002880 1004480 1018550 1020175 1059292 1060982 1065800 1078096 1079816 1108432 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122766985313440 128462081338240 130261481509900 130469301359150 132573815501200 136087129162400 137876768121248 141530614328896 146293663849580 153458731641800 160321823396800 160577601672800 166734696332672 167000705739712 172345960151560 176913267911120 180053740122560 182867079811975 188872285097600 190181763004454 193557770631752 194186867139200 208418370415840 208750882174640 212118104801920 215432450189450 221141584888900 224049748197028 225067175153200 234069862159328 241947213289690 245533970626880 260522963019800 260938602718300 265147631002400 272174258324800 275753536242496 280062185246285 283061228657792 292587327699160 306917463283600 314531377276597 320643646793600 321155203345600 334001411479424 344691920303120 353826535822240 360107480245120 365734159623950 380363526008908 387115541263504 416836740831680 417501764349280 430864900378900 442283169777800 448099496394056 450134350306400 468139724318656 475454407511135 483894426579380 491067941253760 521045926039600 521877205436600 530295262004800 544348516649600 551507072484992 560124370492570 585174655398320 604868033224225 613834926567200 629062754553194 642310406691200 689383840606240 707653071644480 731468319247900 760727052017816 774231082527008 833673481663360 835003528698560 861729800757800 884566339555600 896198992788112 900268700612800 936279448637312 950908815022270 967788853158760 1042091852079200 1043754410873200 1060590524009600 1120248740985140 1170349310796640 1209736066448450 1227669853134400 1258125509106388 1378767681212480 1400310926231425 1415306143288960 1462936638495800 1521454104035632 1548462165054016 1572656886382985 1670007057397120 1723459601515600 1769132679111200 1792397985576224 1800537401225600 1901817630044540 1935577706317520 2084183704158400 2087508821746400 2240497481970280 2340698621593280 2377272037555675 2419472132896900 2455339706268800 2516251018212776 2757535362424960 2800621852462850 2925873276991600 3042908208071264 3096924330108032 3145313772765970 3446919203031200 3538265358222400 3584795971152448 3803635260089080 3871155412635040 4088907904595761 4168367408316800 4175017643492800 4480994963940560 4681397243186560 4754544075111350 4838944265793800 5032502036425552 5601243704925700 5851746553983200 6085816416142528 6290627545531940 6893838406062400 7076530716444800 7169591942304896 7607270520178160 7742310825270080 7863284431914925 8177815809191522 8350035286985600 8961989927881120 9509088150222700 9677888531587600 10065004072851104 11202487409851400 11703493107966400 12171632832285056 12581255091063880 13787676812124800 15214541040356320 15484621650540160 15726568863829850 16355631618383044 17923979855762240 19018176300445400 19355777063175200 20130008145702208 20444539522978805 22404974819702800 23406986215932800 25162510182127760 30429082080712640 31453137727659700 32711263236766088 35847959711524480 38036352600890800 38711554126350400 40260016291404416 40889079045957610 44809949639405600 50325020364255520 60858164161425280 62906275455319400 65422526473532176 76072705201781600 77423108252700800 81778158091915220 89619899278811200 100650040728511040 102222697614894025 125812550910638800 130845052947064352 152145410403563200 163556316183830440 179239798557622400 201300081457022080 204445395229788050 251625101821277600 261690105894128704 304290820807126400 327112632367660880 408890790459576100 503250203642555200 523380211788257408 654225264735321760 817781580919152200 1006500407285110400 1308450529470643520 1635563161838304400 2616901058941287040 3271126323676608800 6542252647353217600 13084505294706435200
- Sum of all divisors σ(n): 36354131773021581345
- Sum of proper divisors (its aliquot sum) s(n): 23269626478315146145
- 13084505294706435200 is an abundant number, because the sum of its proper divisors (23269626478315146145) is greater than itself. Its abundance is 10185121183608710945
Bases of 13084505294706435200
- Binary: 10110101100101011000000000111101101010001011000111100100100000002
- Hexadecimal: 0xB595803DA8B1E480
- Base-36: 2RERA0UFCTAWW
Squares and roots of 13084505294706435200
- 13084505294706435200 squared (130845052947064352002) is 171204278807200736665034948291799040000
- 13084505294706435200 cubed (130845052947064352003) is 2240123292529214773154370299465172092367624473182208000000
-
The
square root of 13084505294706435200 is 3617251068.7960872037 -
The
cube root of 13084505294706435200 is 2356418.5655343697
Scales and comparisons
How big is 13084505294706435200?- 13,084,505,294,706,435,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,084,505,294,706,435,200 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 13084505294706435200 cubic inches would be around 196368.2 feet tall.
Recreational maths with 13084505294706435200
- 13084505294706435200 backwards is 00253460749250548031
- The number of decimal digits it has is: 20
- The sum of 13084505294706435200's digits is 68
- More coming soon!
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"Number 13084505294706435200 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 13084505294706435200 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/13084505294706435200/
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The information we have on file for 13084505294706435200 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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