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144150131055204 = 223216962132360653
BaseRepresentation
bin100000110001101010010001…
…010110110001101001100100
3200220101121200111000001100100
4200301222101112301221210
5122343223432022231304
61230325353410344100
742235334425150461
oct4061522126615144
9626347614001310
10144150131055204
1141a267aaaa374a
121420131728b030
1362583b6c83431
142784c91574668
15119ea20812439
hex831a915b1a64

144150131055204 has 36 divisors (see below), whose sum is σ = 364379867119996. Its totient is φ = 48049995002688.

The previous prime is 144150131055169. The next prime is 144150131055211. The reversal of 144150131055204 is 402550131051441.

144150131055204 is a `hidden beast` number, since 1 + 4 + 4 + 15 + 0 + 13 + 105 + 520 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15059677262400 + 129090453792804 = 3880680^2 + 11361798^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59883342 + ... + 62243994.

Almost surely, 2144150131055204 is an apocalyptic number.

It is an amenable number.

144150131055204 is an abundant number, since it is smaller than the sum of its proper divisors (220229736064792).

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

144150131055204 is a wasteful number, since it uses less digits than its factorization.

144150131055204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056876 (or 4056871 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 144150131055204 in words is "one hundred forty-four trillion, one hundred fifty billion, one hundred thirty-one million, fifty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 1696213 2360653 3392426 4721306 5088639 6784852 7081959 9442612 10177278 14163918 15265917 20354556 21245877 28327836 30531834 42491754 61063668 84983508 4004170307089 8008340614178 12012510921267 16016681228356 24025021842534 36037532763801 48050043685068 72075065527602 144150131055204