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15133043340 = 223251759109769
BaseRepresentation
bin11100001011111111…
…11110101010001100
31110001122111020211200
432011333332222030
5221443024341330
610541345345500
71044003513612
oct160577765214
943048436750
1015133043340
116466232498
122b24038290
13157228bb1c
14a37b776b2
155d8844a60
hex385ffea8c

15133043340 has 288 divisors, whose sum is σ = 49945896000. Its totient is φ = 3694657536.

The previous prime is 15133043293. The next prime is 15133043377. The reversal of 15133043340 is 4334033151.

15133043340 is a `hidden beast` number, since 1 + 5 + 13 + 304 + 3 + 340 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19678476 + ... + 19679244.

It is an arithmetic number, because the mean of its divisors is an integer number (173423250).

Almost surely, 215133043340 is an apocalyptic number.

15133043340 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 15133043340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24972948000).

15133043340 is an abundant number, since it is smaller than the sum of its proper divisors (34812852660).

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

15133043340 is a wasteful number, since it uses less digits than its factorization.

15133043340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 15133043340 its reverse (4334033151), we get a palindrome (19467076491).

The spelling of 15133043340 in words is "fifteen billion, one hundred thirty-three million, forty-three thousand, three hundred forty".