61331688048142096800
61,331,688,048,142,096,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 61331688048142096800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
61331688048142096800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 61331688048142096800:
25 × 3 × 52 × 63611 × 401736649637
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 63611 × 401736649637)See below for interesting mathematical facts about the number 61331688048142096800 from the Numbermatics database.
Names of 61331688048142096800
- Cardinal: 61331688048142096800 can be written as Sixty-one quintillion, three hundred thirty-one quadrillion, six hundred eighty-eight trillion, forty-eight billion, one hundred forty-two million, ninety-six thousand, eight hundred.
Scientific notation
- Scientific notation: 6.13316880481420968 × 1019
Factors of 61331688048142096800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 401736713258
Divisors of 61331688048142096800
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 63611 127222 190833 254444 318055 381666 508888 636110 763332 954165 1017776 1272220 1526664 1590275 1908330 2035552 2544440 3053328 3180550 3816660 4770825 5088880 6106656 6361100 7633320 9541650 10177760 12722200 15266640 19083300 25444400 30533280 38166600 50888800 76333200 152666400 401736649637 803473299274 1205209948911 1606946598548 2008683248185 2410419897822 3213893197096 4017366496370 4820839795644 6026049744555 6427786394192 8034732992740 9641679591288 10043416240925 12052099489110 12855572788384 16069465985480 19283359182576 20086832481850 24104198978220 30130248722775 32138931970960 38566718365152 40173664963700 48208397956440 60260497445550 64277863941920 80347329927400 96416795912880 120520994891100 160694659854800 192833591825760 241041989782200 321389319709600 482083979564400 964167959128800 25554870020059207 51109740040118414 76664610060177621 102219480080236828 127774350100296035 153329220120355242 204438960160473656 255548700200592070 306658440240710484 383323050300888105 408877920320947312 511097400401184140 613316880481420968 638871750501480175 766646100601776210 817755840641894624 1022194800802368280 1226633760962841936 1277743501002960350 1533292201203552420 1916615251504440525 2044389601604736560 2453267521925683872 2555487002005920700 3066584402407104840 3833230503008881050 4088779203209473120 5110974004011841400 6133168804814209680 7666461006017762100 10221948008023682800 12266337609628419360 15332922012035524200 20443896016047365600 30665844024071048400 61331688048142096800
- Sum of all divisors σ(n): 199637782963906426272
- Sum of proper divisors (its aliquot sum) s(n): 138306094915764329472
- 61331688048142096800 is an abundant number, because the sum of its proper divisors (138306094915764329472) is greater than itself. Its abundance is 76974406867622232672
Bases of 61331688048142096800
- Binary: 1101010011001001011110110101010100101000001001010010011001101000002
- Hexadecimal: 0x35325ED54A09499A0
- Base-36: CXYWCX7M4Y4YO
Squares and roots of 61331688048142096800
- 61331688048142096800 squared (613316880481420968002) is 3761575958834616123524458284300570240000
- 61331688048142096800 cubed (613316880481420968003) is 230703803276635673618540440471293100072125092789279232000000
-
The
square root of 61331688048142096800 is 7831455040.2937318273 -
The
cube root of 61331688048142096800 is 3943619.2029111013
Scales and comparisons
How big is 61331688048142096800?- 61,331,688,048,142,096,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 61,331,688,048,142,096,800 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 61331688048142096800 cubic inches would be around 328634.9 feet tall.
Recreational maths with 61331688048142096800
- 61331688048142096800 backwards is 00869024184088613316
- The number of decimal digits it has is: 20
- The sum of 61331688048142096800's digits is 78
- More coming soon!
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