Search a number
-
+
314875922088 = 2337131719479497
BaseRepresentation
bin1001001010100000001…
…00010100011010101000
31010002202020121011112110
410211100010110122220
520124331214001323
6400352455442320
731514630114520
oct4452004243250
91102666534473
10314875922088
111115a1281792
12510373863a0
1323900a53880
1411350aa8680
1582cd664793
hex49501146a8

314875922088 has 512 divisors, whose sum is σ = 1102922956800. Its totient is φ = 72462532608.

The previous prime is 314875922077. The next prime is 314875922111. The reversal of 314875922088 is 880229578413.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33150556 + ... + 33160052.

It is an arithmetic number, because the mean of its divisors is an integer number (2154146400).

Almost surely, 2314875922088 is an apocalyptic number.

314875922088 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314875922088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551461478400).

314875922088 is an abundant number, since it is smaller than the sum of its proper divisors (788047034712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

314875922088 is a wasteful number, since it uses less digits than its factorization.

314875922088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9609 (or 9605 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 314875922088 in words is "three hundred fourteen billion, eight hundred seventy-five million, nine hundred twenty-two thousand, eighty-eight".