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315104423700 = 22352116713910253
BaseRepresentation
bin1001001010111011010…
…11111110111100010100
31010010100011120020211010
410211131223332330110
520130313213024300
6400431301212220
731523403260133
oct4453553767424
91103304506733
10315104423700
111116a92613a0
125109ba01070
13239391a9b21
141137318991a
1582e374da50
hex495dafef14

315104423700 has 288 divisors, whose sum is σ = 1016789921280. Its totient is φ = 74700172800.

The previous prime is 315104423639. The next prime is 315104423701. The reversal of 315104423700 is 7324401513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315104423701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30727774 + ... + 30738026.

It is an arithmetic number, because the mean of its divisors is an integer number (3530520560).

Almost surely, 2315104423700 is an apocalyptic number.

315104423700 is a gapful number since it is divisible by the number (30) 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 315104423700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508394960640).

315104423700 is an abundant number, since it is smaller than the sum of its proper divisors (701685497580).

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

315104423700 is a wasteful number, since it uses less digits than its factorization.

315104423700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10487 (or 10480 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 315104423700 in words is "three hundred fifteen billion, one hundred four million, four hundred twenty-three thousand, seven hundred".