31933214414998400
31,933,214,414,998,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 31933214414998400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 192 divisors.
31933214414998400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 31933214414998400:
27 × 52 × 7 × 31 × 45986771911
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 31 × 45986771911)See below for interesting mathematical facts about the number 31933214414998400 from the Numbermatics database.
Names of 31933214414998400
- Cardinal: 31933214414998400 can be written as Thirty-one quadrillion, nine hundred thirty-three trillion, two hundred fourteen billion, four hundred fourteen million, nine hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 3.19332144149984 × 1016
Factors of 31933214414998400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 45986771956
Divisors of 31933214414998400
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 62 64 70 80 100 112 124 128 140 155 160 175 200 217 224 248 280 310 320 350 400 434 448 496 560 620 640 700 775 800 868 896 992 1085 1120 1240 1400 1550 1600 1736 1984 2170 2240 2480 2800 3100 3200 3472 3968 4340 4480 4960 5425 5600 6200 6944 8680 9920 10850 11200 12400 13888 17360 19840 21700 22400 24800 27776 34720 43400 49600 69440 86800 99200 138880 173600 347200 694400 45986771911 91973543822 183947087644 229933859555 321907403377 367894175288 459867719110 643814806754 735788350576 919735438220 1149669297775 1287629613508 1425589929241 1471576701152 1609537016885 1839470876440 2299338595550 2575259227016 2851179858482 2943153402304 3219074033770 3678941752880 4598677191100 5150518454032 5702359716964 5886306804608 6438148067540 7127949646205 7357883505760 8047685084425 9197354382200 9979129504687 10301036908064 11404719433928 12876296135080 14255899292410 14715767011520 16095370168850 18394708764400 19958259009374 20602073816128 22809438867856 25752592270160 28511798584820 29431534023040 32190740337700 35639748231025 36789417528800 39916518018748 41204147632256 45618877735712 49895647523435 51505184540320 57023597169640 64381480675400 71279496462050 73578835057600 79833036037496 91237755471424 99791295046870 103010369080640 114047194339280 128762961350800 142558992924100 147157670115200 159666072074992 182475510942848 199582590093740 206020738161280 228094388678560 249478237617175 257525922701600 285117985848200 319332144149984 399165180187480 456188777357120 498956475234350 515051845403200 570235971696400 638664288299968 798330360374960 912377554714240 997912950468700 1030103690806400 1140471943392800 1277328576599936 1596660720749920 1995825900937400 2280943886785600 3193321441499840 3991651801874800 4561887773571200 6386642882999680 7983303603749600 15966607207499200 31933214414998400
- Sum of all divisors σ(n): 93062510582876160
- Sum of proper divisors (its aliquot sum) s(n): 61129296167877760
- 31933214414998400 is an abundant number, because the sum of its proper divisors (61129296167877760) is greater than itself. Its abundance is 29196081752879360
Bases of 31933214414998400
- Binary: 11100010111001100010110110111011011111000001011100000002
- Hexadecimal: 0x717316DDBE0B80
- Base-36: 8QFDO6JIYRK
Squares and roots of 31933214414998400
- 31933214414998400 squared (319332144149984002) is 1019730182874261605938872002560000
- 31933214414998400 cubed (319332144149984003) is 32563262575169325278955638222419406707195904000000
-
The
square root of 31933214414998400 is 178698669.3151306037 -
The
cube root of 31933214414998400 is 317259.1909212917
Scales and comparisons
How big is 31933214414998400?- 31,933,214,414,998,400 seconds is equal to 1,015,377,442 years, 24 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 31,933,214,414,998,400 would take you about three billion, forty-six million, one hundred thirty-two thousand, three hundred twenty-seven 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 31933214414998400 cubic inches would be around 26438.3 feet tall.
Recreational maths with 31933214414998400
- 31933214414998400 backwards is 00489941441233913
- The number of decimal digits it has is: 17
- The sum of 31933214414998400's digits is 65
- More coming soon!
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