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118288144 = 2413691823
BaseRepresentation
bin1110000110011…
…10111100010000
322020120122211101
413003032330100
5220240210034
615423154144
72634301252
oct703167420
9266518741
10118288144
11608526a7
1233745954
131b6779b0
14119d1cd2
15a5b8514
hex70cef10

118288144 has 40 divisors (see below), whose sum is σ = 247470272. Its totient is φ = 54449280.

The previous prime is 118288139. The next prime is 118288147. The reversal of 118288144 is 441882811.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (118288147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143317 + ... + 144139.

Almost surely, 2118288144 is an apocalyptic number.

It is an amenable number.

118288144 is an abundant number, since it is smaller than the sum of its proper divisors (129182128).

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

118288144 is a wasteful number, since it uses less digits than its factorization.

118288144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1529 counting only the distinct ones).

The product of its digits is 16384, while the sum is 37.

The square root of 118288144 is about 10876.0353070409. The cubic root of 118288144 is about 490.8857282642.

The spelling of 118288144 in words is "one hundred eighteen million, two hundred eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 691 823 1382 1646 2764 3292 5528 6584 8983 10699 11056 13168 17966 21398 35932 42796 71864 85592 143728 171184 568693 1137386 2274772 4549544 7393009 9099088 14786018 29572036 59144072 118288144