4013157976088968040800
4,013,157,976,088,968,040,800 is an even composite number composed of six prime numbers multiplied together.
4013157976088968040800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 4013157976088968040800:
25 × 52 × 41 × 751 × 9781 × 16656709681
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 41 × 751 × 9781 × 16656709681)See below for interesting mathematical facts about the number 4013157976088968040800 from the Numbermatics database.
Names of 4013157976088968040800
- Cardinal: 4013157976088968040800 can be written as Four sextillion, thirteen quintillion, one hundred fifty-seven quadrillion, nine hundred seventy-six trillion, eighty-eight billion, nine hundred sixty-eight million, forty thousand, eight hundred.
Scientific notation
- Scientific notation: 4.0131579760889680408 × 1021
Factors of 4013157976088968040800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 16656720261
Divisors of 4013157976088968040800
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 160 164 200 205 328 400 410 656 751 800 820 1025 1312 1502 1640 2050 3004 3280 3755 4100 6008 6560 7510 8200 9781 12016 15020 16400 18775 19562 24032 30040 30791 32800 37550 39124 48905 60080 61582 75100 78248 97810 120160 123164 150200 153955 156496 195620 244525 246328 300400 307910 312992 391240 401021 489050 492656 600800 615820 769775 782480 802042 978100 985312 1231640 1539550 1564960 1604084 1956200 2005105 2463280 3079100 3208168 3912400 4010210 4926560 6158200 6416336 7345531 7824800 8020420 10025525 12316400 12832672 14691062 16040840 20051050 24632800 29382124 32081680 36727655 40102100 58764248 64163360 73455310 80204200 117528496 146910620 160408400 183638275 235056992 293821240 301166771 320816800 367276550 587642480 602333542 734553100 1175284960 1204667084 1469106200 1505833855 2409334168 2938212400 3011667710 4818668336 5876424800 6023335420 7529169275 9637336672 12046670840 15058338550 16656709681 24093341680 30116677100 33313419362 48186683360 60233354200 66626838724 83283548405 120466708400 133253677448 166567096810 240933416800 266507354896 333134193620 416417742025 533014709792 666268387240 682925096921 832835484050 1332536774480 1365850193842 1665670968100 2665073548960 2731700387684 3331341936200 3414625484605 5463400775368 6662683872400 6829250969210 10926801550736 12509188970431 13325367744800 13658501938420 17073127423025 21853603101472 25018377940862 27317003876840 34146254846050 50036755881724 54634007753680 62545944852155 68292509692100 100073511763448 109268015507360 125091889704310 136585019384200 162919277389861 200147023526896 250183779408620 273170038768400 312729724260775 325838554779722 400294047053792 500367558817240 512876747787671 546340077536800 625459448521550 651677109559444 814596386949305 1000735117634480 1025753495575342 1250918897043100 1303354219118888 1629192773898610 2001470235268960 2051506991150684 2501837794086200 2564383738938355 2606708438237776 3258385547797220 4072981934746525 4103013982301368 5003675588172400 5128767477876710 5213416876475552 6516771095594440 6679690372984301 8145963869493050 8206027964602736 10007351176344800 10257534955753420 12821918694691775 13033542191188880 13359380745968602 16291927738986100 16412055929205472 20515069911506840 25643837389383550 26067084382377760 26718761491937204 32583855477972200 33398451864921505 41030139823013680 51287674778767100 53437522983874408 65167710955944400 66796903729843010 82060279646027360 102575349557534200 106875045967748816 122352377319785611 130335421911888800 133593807459686020 166992259324607525 205150699115068400 213750091935497632 244704754639571222 267187614919372040 333984518649215050 410301398230136800 489409509279142444 534375229838744080 611761886598928055 667969037298430100 978819018558284888 1068750459677488160 1223523773197856110 1335938074596860200 1957638037116569776 2447047546395712220 2671876149193720400 3058809432994640275 3915276074233139552 4894095092791424440 5016447470111210051 5343752298387440800 6117618865989280550 9788190185582848880 10032894940222420102 12235237731978561100 19576380371165697760 20065789880444840204 24470475463957122200 25082237350556050255 40131579760889680408 48940950927914244400 50164474701112100510 80263159521779360816 97881901855828488800 100328949402224201020 125411186752780251275 160526319043558721632 200657898804448402040 250822373505560502550 401315797608896804080 501644747011121005100 802631595217793608160 1003289494022242010200 2006578988044484020400 4013157976088968040800
- Sum of all divisors σ(n): 10050467164301060638848
- Sum of proper divisors (its aliquot sum) s(n): 6037309188212092598048
- 4013157976088968040800 is an abundant number, because the sum of its proper divisors (6037309188212092598048) is greater than itself. Its abundance is 2024151212123124557248
Bases of 4013157976088968040800
- Binary: 1101100110001101110000010011110010100001011101001000011000010001011000002
- Hexadecimal: 0xD98DC13CA174861160
- Base-36: NIY3CDQEHPJRZ4
Squares and roots of 4013157976088968040800
- 4013157976088968040800 squared (40131579760889680408002) is 16105436941046502181099142153883790464640000
- 4013157976088968040800 cubed (40131579760889680408003) is 64633662718358681185852271182361870548274494917156742477312000000
-
The
square root of 4013157976088968040800 is 63349490732.6725716655 -
The
cube root of 4013157976088968040800 is 15891397.2899408439
Scales and comparisons
How big is 4013157976088968040800?- 4,013,157,976,088,968,040,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 4,013,157,976,088,968,040,800 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 4013157976088968040800 cubic inches would be around 1324283.1 feet tall.
Recreational maths with 4013157976088968040800
- 4013157976088968040800 backwards is 0080408698806797513104
- The number of decimal digits it has is: 22
- The sum of 4013157976088968040800's digits is 94
- More coming soon!
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