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144301644 = 223217235787
BaseRepresentation
bin10001001100111…
…01111001001100
3101001112021122100
420212131321030
5243420123034
622152515100
73401354334
oct1046357114
9331467570
10144301644
11744aaa63
12403aba90
1323b852b6
14152440c4
15ca06099
hex899de4c

144301644 has 36 divisors (see below), whose sum is σ = 386220744. Its totient is φ = 45270912.

The previous prime is 144301639. The next prime is 144301687. The reversal of 144301644 is 446103441.

144301644 is a `hidden beast` number, since 14 + 4 + 3 + 0 + 1 + 644 = 666.

144301644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×1443016442 = 41645928922205472, which contains 22 as substring.

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, 117282 + ... + 118505.

It is an arithmetic number, because the mean of its divisors is an integer number (10728354).

Almost surely, 2144301644 is an apocalyptic number.

It is an amenable number.

144301644 is an abundant number, since it is smaller than the sum of its proper divisors (241919100).

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

144301644 is a wasteful number, since it uses less digits than its factorization.

144301644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235814 (or 235809 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 144301644 is about 12012.5619249184. The cubic root of 144301644 is about 524.5140101244.

The spelling of 144301644 in words is "one hundred forty-four million, three hundred one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 235787 471574 707361 943148 1414722 2122083 2829444 4008379 4244166 8016758 8488332 12025137 16033516 24050274 36075411 48100548 72150822 144301644