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144360936 = 233219105527
BaseRepresentation
bin10001001101011…
…00010111101000
3101001122021222100
420212230113220
5243424022221
622154053400
73402022236
oct1046542750
9331567870
10144360936
1174540565
124041a260
1323ba6295
141525b956
15ca18926
hex89ac5e8

144360936 has 48 divisors (see below), whose sum is σ = 411559200. Its totient is φ = 45587232.

The previous prime is 144360899. The next prime is 144360943. The reversal of 144360936 is 639063441.

144360936 is a `hidden beast` number, since 1 + 4 + 43 + 609 + 3 + 6 = 666.

144360936 is digitally balanced in base 3, 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144360936.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 51396 + ... + 54131.

It is an arithmetic number, because the mean of its divisors is an integer number (8574150).

Almost surely, 2144360936 is an apocalyptic number.

It is an amenable number.

144360936 is an abundant number, since it is smaller than the sum of its proper divisors (267198264).

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

144360936 is a wasteful number, since it uses less digits than its factorization.

144360936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105558 (or 105551 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 144360936 is about 12015.0295879785. The cubic root of 144360936 is about 524.5858393503.

The spelling of 144360936 in words is "one hundred forty-four million, three hundred sixty thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 105527 211054 316581 422108 633162 844216 949743 1266324 1899486 2005013 2532648 3798972 4010026 6015039 7597944 8020052 12030078 16040104 18045117 24060156 36090234 48120312 72180468 144360936