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15142315320 = 233251116323459
BaseRepresentation
bin11100001101000110…
…10110010100111000
31110002021221022121100
432012203112110320
5222002413042240
610542320211400
71044145361616
oct160643262470
943067838540
1015142315320
116470495690
122b27169b60
1315741871c2
14a390ac6b6
155d9576e30
hex3868d6538

15142315320 has 192 divisors, whose sum is σ = 54018057600. Its totient is φ = 3648188160.

The previous prime is 15142315303. The next prime is 15142315393. The reversal of 15142315320 is 2351324151.

15142315320 is a `hidden beast` number, since 15 + 14 + 2 + 315 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 633751 + ... + 657209.

It is an arithmetic number, because the mean of its divisors is an integer number (281344050).

Almost surely, 215142315320 is an apocalyptic number.

15142315320 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 15142315320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27009028800).

15142315320 is an abundant number, since it is smaller than the sum of its proper divisors (38875742280).

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

15142315320 is a wasteful number, since it uses less digits than its factorization.

15142315320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23650 (or 23643 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 15142315320 its reverse (2351324151), we get a palindrome (17493639471).

The spelling of 15142315320 in words is "fifteen billion, one hundred forty-two million, three hundred fifteen thousand, three hundred twenty".