12813077939295628800
12,813,077,939,295,628,800 is an even composite number composed of six prime numbers multiplied together.
12813077939295628800 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 12813077939295628800:
29 × 33 × 52 × 13 × 4092 × 41292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 409 × 409 × 4129 × 4129)See below for interesting mathematical facts about the number 12813077939295628800 from the Numbermatics database.
Names of 12813077939295628800
- Cardinal: 12813077939295628800 can be written as Twelve quintillion, eight hundred thirteen quadrillion, seventy-seven trillion, nine hundred thirty-nine billion, two hundred ninety-five million, six hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.28130779392956288 × 1019
Factors of 12813077939295628800
Divisors of 12813077939295628800
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 90 96 100 104 108 117 120 128 130 135 144 150 156 160 180 192 195 200 208 216 225 234 240 256 260 270 288 300 312 320 325 351 360 384 390 400 409 416 432 450 468 480 512 520 540 576 585 600 624 640 650 675 702 720 768 780 800 818 832 864 900 936 960 975 1040 1080 1152 1170 1200 1227 1248 1280 1300 1350 1404 1440 1536 1560 1600 1636 1664 1728 1755 1800 1872 1920 1950 2045 2080 2160 2304 2340 2400 2454 2496 2560 2600 2700 2808 2880 2925 3120 3200 3272 3328 3456 3510 3600 3681 3744 3840 3900 4090 4129 4160 4320 4608 4680 4800 4908 4992 5200 5317 5400 5616 5760 5850 6135 6240 6400 6544 6656 6912 7020 7200 7362 7488 7680 7800 8180 8258 8320 8640 8775 9360 9600 9816 9984 10225 10400 10634 10800 11043 11232 11520 11700 12270 12387 12480 12800 13088 13824 14040 14400 14724 14976 15600 15951 16360 16516 16640 17280 17550 18405 18720 19200 19632 19968 20450 20645 20800 21268 21600 22086 22464 23040 23400 24540 24774 24960 26176 26585 28080 28800 29448 29952 30675 31200 31902 32720 33032 33280 34560 35100 36810 37161 37440 38400 39264 40900 41290 41600 42536 43200 44172 44928 46800 47853 49080 49548 49920 52352 53170 53677 55215 56160 57600 58896 59904 61350 61935 62400 63804 65440 66064 69120 70200 73620 74322 74880 78528 79755 81800 82580 83200 85072 86400 88344 89856 92025 93600 95706 98160 99096 99840 103225 104704 106340 107354 110430 111483 112320 115200 117792 122700 123870 124800 127608 130880 132128 132925 140400 143559 147240 148644 149760 157056 159510 161031 163600 165160 166400 167281 170144 172800 176688 179712 184050 185805 187200 191412 196320 198192 206450 209408 212680 214708 220860 222966 224640 235584 239265 245400 247740 249600 255216 261760 264256 265850 268385 276075 280800 287118 294480 297288 299520 309675 314112 319020 322062 327200 330320 334562 340288 345600 353376 368100 371610 374400 382824 392640 396384 398775 412900 425360 429416 441720 445932 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517198592851200 522130315374720 547567433303232 556123174448595 570382743024200 580144794860800 593198052745168 602458056201600 616013362466136 620638311421440 626556378449664 641680585902225 652662894218400 667347809338314 684459291629040 696173753832960 730089911070976 741497565931460 770016703082670 775797889276800 783195473062080 803277408268800 821351149954848 855574114536300 870217192291200 889797079117752 912612388838720 926871957414325 978994341327600 1001021714007471 1026688937443560 1034397185702400 1044260630749440 1095134866606464 1112246348897190 1140765486048400 1160289589721600 1186396105490336 1204916112403200 1232026724932272 1253112756899328 1283361171804450 1305325788436800 1334695618676628 1368918583258080 1460179822141952 1482995131862920 1540033406165340 1551595778553600 1566390946124160 1642702299909696 1668369523345785 1711148229072600 1740434384582400 1779594158235504 1825224777677440 1853743914828650 1925041757706675 1957988682655200 2002043428014942 2053377874887120 2088521261498880 2190269733212928 2224492697794380 2281530972096800 2372792210980672 2409832224806400 2464053449864544 2566722343608900 2610651576873600 2669391237353256 2737837166516160 2780615872242975 2965990263725840 3080066812330680 3103191557107200 3132781892248320 3285404599819392 3336739046691570 3422296458145200 3480868769164800 3559188316471008 3650449555354880 3707487829657300 3850083515413350 3915977365310400 4004086856029884 4106755749774240 4380539466425856 4448985395588760 4563061944193600 4745584421961344 4928106899729088 5005108570037355 5133444687217800 5221303153747200 5338782474706512 5475674333032320 5561231744485950 5931980527451680 6160133624661360 6265563784496640 6570809199638784 6673478093383140 6844592916290400 7118376632942016 7300899110709760 7414975659314600 7700167030826700 7831954730620800 8008173712059768 8213511499548480 8341847616728925 8897970791177520 9126123888387200 9491168843922688 9856213799458176 10010217140074710 10266889374435600 10442606307494400 10677564949413024 10951348666064640 11122463488971900 11863961054903360 12320267249322720 13141618399277568 13346956186766280 13689185832580800 14236753265884032 14829951318629200 15400334061653400 15663909461241600 16016347424119536 16427022999096960 16683695233457850 17795941582355040 18252247776774400 18982337687845376 19712427598916352 20020434280149420 20533778748871200 21355129898826048 21902697332129280 22244926977943800 23727922109806720 24640534498645440 25025542850186775 26693912373532560 27378371665161600 28473506531768064 29659902637258400 30800668123306800 31327818922483200 32032694848239072 32854045998193920 33367390466915700 35591883164710080 36504495553548800 39424855197832704 40040868560298840 41067557497742400 42710259797652096 44489853955887600 47455844219613440 49281068997290880 50051085700373550 53387824747065120 54756743330323200 56947013063536128 59319805274516800 61601336246613600 64065389696478144 65708091996387840 66734780933831400 71183766329420160 80081737120597680 82135114995484800 85420519595304192 88979707911775200 94911688439226880 98562137994581760 100102171400747100 106775649494130240 109513486660646400 118639610549033600 123202672493227200 128130779392956288 133469561867662800 142367532658840320 160163474241195360 164270229990969600 170841039190608384 177959415823550400 197124275989163520 200204342801494200 213551298988260480 237279221098067200 246405344986454400 256261558785912576 266939123735325600 284735065317680640 320326948482390720 328540459981939200 355918831647100800 400408685602988400 427102597976520960 474558442196134400 492810689972908800 512523117571825152 533878247470651200 640653896964781440 711837663294201600 800817371205976800 854205195953041920 985621379945817600 1067756494941302400 1281307793929562880 1423675326588403200 1601634742411953600 2135512989882604800 2562615587859125760 3203269484823907200 4271025979765209600 6406538969647814400 12813077939295628800
- Sum of all divisors σ(n): 50784369989195692080
- Sum of proper divisors (its aliquot sum) s(n): 37971292049900063280
- 12813077939295628800 is an abundant number, because the sum of its proper divisors (37971292049900063280) is greater than itself. Its abundance is 25158214110604434480
Bases of 12813077939295628800
- Binary: 10110001110100010011001001111111110010110001110000101110000000002
- Hexadecimal: 0xB1D1327FCB1C2E00
- Base-36: 2PCIP20QRUYO0
Squares and roots of 12813077939295628800
- 12813077939295628800 squared (128130779392956288002) is 164174966278464317431913482787389440000
- 12813077939295628800 cubed (128130779392956288003) is 2103586638607194924756486652864971525685820755279872000000
-
The
square root of 12813077939295628800 is 3579535994.9713634357 -
The
cube root of 12813077939295628800 is 2340010.5887031279
Scales and comparisons
How big is 12813077939295628800?- 12,813,077,939,295,628,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 12,813,077,939,295,628,800 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 12813077939295628800 cubic inches would be around 195000.9 feet tall.
Recreational maths with 12813077939295628800
- 12813077939295628800 backwards is 00882659293977031821
- 12813077939295628800 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 12813077939295628800's digits is 90
- More coming soon!
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"Number 12813077939295628800 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 12813077939295628800 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/12813077939295628800/
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Numbermatics. 2024. "Number 12813077939295628800 - Facts about the integer". https://numbermatics.com/n/12813077939295628800/
The information we have on file for 12813077939295628800 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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