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15314245320 = 233511174359269
BaseRepresentation
bin11100100001100110…
…01101011011001000
31110112021110021020010
432100303031123020
5222330421322240
611011341231520
71051333636353
oct162063153310
943467407203
1015314245320
1165495461a0
122b748625a0
1315a0993b2a
14a53c6529a
155e96d9280
hex390ccd6c8

15314245320 has 512 divisors, whose sum is σ = 55427328000. Its totient is φ = 3342581760.

The previous prime is 15314245313. The next prime is 15314245321. The reversal of 15314245320 is 2354241351.

It is a super-2 number, since 2×153142453202 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (15314245321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56930146 + ... + 56930414.

It is an arithmetic number, because the mean of its divisors is an integer number (108256500).

Almost surely, 215314245320 is an apocalyptic number.

15314245320 is a gapful number since it is divisible by the number (10) 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 15314245320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27713664000).

15314245320 is an abundant number, since it is smaller than the sum of its proper divisors (40113082680).

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

15314245320 is a wasteful number, since it uses less digits than its factorization.

15314245320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 15314245320 its reverse (2354241351), we get a palindrome (17668486671).

The spelling of 15314245320 in words is "fifteen billion, three hundred fourteen million, two hundred forty-five thousand, three hundred twenty".