1313502293012068800
1,313,502,293,012,068,800 is an even composite number composed of five prime numbers multiplied together.
1313502293012068800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 1313502293012068800:
26 × 32 × 52 × 1627 × 56063575301
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 1627 × 56063575301)See below for interesting mathematical facts about the number 1313502293012068800 from the Numbermatics database.
Names of 1313502293012068800
- Cardinal: 1313502293012068800 can be written as One quintillion, three hundred thirteen quadrillion, five hundred two trillion, two hundred ninety-three billion, twelve million, sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.3135022930120688 × 1018
Factors of 1313502293012068800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 56063576938
Divisors of 1313502293012068800
- Number of divisors d(n): 252
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1627 1800 2400 2880 3254 3600 4800 4881 6508 7200 8135 9762 13016 14400 14643 16270 19524 24405 26032 29286 32540 39048 40675 48810 52064 58572 65080 73215 78096 81350 97620 104128 117144 122025 130160 146430 156192 162700 195240 234288 244050 260320 292860 312384 325400 366075 390480 468576 488100 520640 585720 650800 732150 780960 937152 976200 1171440 1301600 1464300 1561920 1952400 2342880 2603200 2928600 3904800 4685760 5857200 7809600 11714400 23428800 56063575301 112127150602 168190725903 224254301204 280317876505 336381451806 448508602408 504572177709 560635753010 672762903612 840953629515 897017204816 1009144355418 1121271506020 1345525807224 1401589382525 1681907259030 1794034409632 2018288710836 2242543012040 2522860888545 2691051614448 2803178765050 3363814518060 3588068819264 4036577421672 4204768147575 4485086024080 5045721777090 5382103228896 5606357530100 6727629036120 8073154843344 8409536295150 8970172048160 10091443554180 10764206457792 11212715060200 12614304442725 13455258072240 16146309686688 16819072590300 17940344096320 20182887108360 22425430120400 25228608885450 26910516144480 32292619373376 33638145180600 40365774216720 44850860240800 50457217770900 53821032288960 67276290361200 80731548433440 89701720481600 91215437014727 100914435541800 134552580722400 161463096866880 182430874029454 201828871083600 269105161444800 273646311044181 364861748058908 403657742167200 456077185073635 547292622088362 729723496117816 807315484334400 820938933132543 912154370147270 1094585244176724 1368231555220905 1459446992235632 1641877866265086 1824308740294540 2189170488353448 2280385925368175 2736463110441810 2918893984471264 3283755732530172 3648617480589080 4104694665662715 4378340976706896 4560771850736350 5472926220883620 5837787968942528 6567511465060344 6841157776104525 7297234961178160 8209389331325430 8756681953413792 9121543701472700 10945852441767240 13135022930120688 13682315552209050 14594469922356320 16418778662650860 17513363906827584 18243087402945400 20523473328313575 21891704883534480 26270045860241376 27364631104418100 29188939844712640 32837557325301720 36486174805890800 41046946656627150 43783409767068960 52540091720482752 54729262208836200 65675114650603440 72972349611781600 82093893313254300 87566819534137920 109458524417672400 131350229301206880 145944699223563200 164187786626508600 218917048835344800 262700458602413760 328375573253017200 437834097670689600 656751146506034400 1313502293012068800
- Sum of all divisors σ(n): 4671366671781545736
- Sum of proper divisors (its aliquot sum) s(n): 3357864378769476936
- 1313502293012068800 is an abundant number, because the sum of its proper divisors (3357864378769476936) is greater than itself. Its abundance is 2044362085757408136
Bases of 1313502293012068800
- Binary: 10010001110100111111101100000010100101010010100111001110000002
- Hexadecimal: 0x123A7F6052A539C0
- Base-36: 9Z99PB6B6CW0
Squares and roots of 1313502293012068800
- 1313502293012068800 squared (13135022930120688002) is 1725288273747962641947662455933440000
- 1313502293012068800 cubed (13135022930120688003) is 2266170103674782793394802033391722844026089500672000000
-
The
square root of 1313502293012068800 is 1146081276.7915148173 -
The
cube root of 1313502293012068800 is 1095158.4163712365
Scales and comparisons
How big is 1313502293012068800?- 1,313,502,293,012,068,800 seconds is equal to 41,765,309,988 years, 22 weeks, 1 day, 20 hours.
-
To count from 1 to 1,313,502,293,012,068,800 would take you about one hundred forty-six billion, one hundred seventy-eight million, five hundred eighty-four thousand, nine hundred fifty-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 1313502293012068800 cubic inches would be around 91263.2 feet tall.
Recreational maths with 1313502293012068800
- 1313502293012068800 backwards is 0088602103922053131
- The number of decimal digits it has is: 19
- The sum of 1313502293012068800's digits is 54
- More coming soon!
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