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15151134144 = 263372132761
BaseRepresentation
bin11100001110001001…
…11111010111000000
31110002220112100202110
432013010333113000
5222012142243034
610543233215320
71044313341516
oct160704772700
943086470673
1015151134144
116475469373
122b2a101540
131575c54243
14a3a3264b6
155da219de9
hex38713f5c0

15151134144 has 56 divisors (see below), whose sum is σ = 41170837648. Its totient is φ = 4913879040.

The previous prime is 15151134143. The next prime is 15151134161. The reversal of 15151134144 is 44143115151.

15151134144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×151511341442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15151134143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1059277 + ... + 1073484.

Almost surely, 215151134144 is an apocalyptic number.

It is an amenable number.

15151134144 is an abundant number, since it is smaller than the sum of its proper divisors (26019703504).

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

15151134144 is a wasteful number, since it uses less digits than its factorization.

15151134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132813 (or 2132803 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

Adding to 15151134144 its reverse (44143115151), we get a palindrome (59294249295).

The spelling of 15151134144 in words is "fifteen billion, one hundred fifty-one million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 2132761 4265522 6398283 8531044 12796566 17062088 25593132 34124176 51186264 68248352 78912157 102372528 136496704 157824314 204745056 236736471 315648628 409490112 473472942 631297256 946945884 1262594512 1893891768 2525189024 3787783536 5050378048 7575567072 15151134144