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15134042430 = 2355131728181
BaseRepresentation
bin11100001100000111…
…10010100100111110
31110001201101000100000
432012003302210332
5221443303324210
610541423015130
71044015144453
oct160603624476
943051330300
1015134042430
116466855091
122b2443a4a6
13157254b7c0
14a37d5782a
155d8990ac0
hex3860f293e

15134042430 has 192 divisors, whose sum is σ = 46531412928. Its totient is φ = 3506042880.

The previous prime is 15134042369. The next prime is 15134042513. The reversal of 15134042430 is 3424043151.

It is a happy number.

15134042430 is a `hidden beast` number, since 1 + 5 + 13 + 404 + 243 + 0 = 666.

15134042430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 15134042394 and 15134042403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 522940 + ... + 551120.

It is an arithmetic number, because the mean of its divisors is an integer number (242351109).

Almost surely, 215134042430 is an apocalyptic number.

15134042430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15134042430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23265706464).

15134042430 is an abundant number, since it is smaller than the sum of its proper divisors (31397370498).

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

15134042430 is a wasteful number, since it uses less digits than its factorization.

15134042430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28233 (or 28221 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 15134042430 its reverse (3424043151), we get a palindrome (18558085581).

The spelling of 15134042430 in words is "fifteen billion, one hundred thirty-four million, forty-two thousand, four hundred thirty".