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15158000144 = 247547247421
BaseRepresentation
bin11100001110111110…
…01011101000010000
31110010101110012010202
432013133023220100
5222020422001034
610544040314332
71044425606150
oct160737135020
943111405122
1015158000144
116479328951
122b304729a8
1315774b9471
14a3b1d2760
155dab2447e
hex3877cba10

15158000144 has 40 divisors (see below), whose sum is σ = 33625639488. Its totient is φ = 6484383360.

The previous prime is 15158000131. The next prime is 15158000153. The reversal of 15158000144 is 44100085151.

15158000144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 62447 + ... + 184974.

Almost surely, 215158000144 is an apocalyptic number.

15158000144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

15158000144 is an abundant number, since it is smaller than the sum of its proper divisors (18467639344).

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

15158000144 is a wasteful number, since it uses less digits than its factorization.

15158000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247983 (or 247977 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

Adding to 15158000144 its reverse (44100085151), we get a palindrome (59258085295).

The spelling of 15158000144 in words is "fifteen billion, one hundred fifty-eight million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 56 112 547 1094 2188 3829 4376 7658 8752 15316 30632 61264 247421 494842 989684 1731947 1979368 3463894 3958736 6927788 13855576 27711152 135339287 270678574 541357148 947375009 1082714296 1894750018 2165428592 3789500036 7579000072 15158000144