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144580644 = 223213308933
BaseRepresentation
bin10001001111000…
…10000000100100
3101002001110100200
420213202000210
5244003040034
622202510500
73403625625
oct1047420044
9332043320
10144580644
117468063a
1240505430
1323c522a0
14152b7a4c
15ca5da99
hex89e2024

144580644 has 36 divisors (see below), whose sum is σ = 393581916. Its totient is φ = 44486208.

The previous prime is 144580609. The next prime is 144580649. The reversal of 144580644 is 446085441.

It is a happy number.

144580644 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 8 + 0 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15303744 + 129276900 = 3912^2 + 11370^2 .

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 a junction number, because it is equal to n+sod(n) for n = 144580599 and 144580608.

It is not an unprimeable number, because it can be changed into a prime (144580649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153999 + ... + 154934.

It is an arithmetic number, because the mean of its divisors is an integer number (10932831).

Almost surely, 2144580644 is an apocalyptic number.

It is an amenable number.

144580644 is an abundant number, since it is smaller than the sum of its proper divisors (249001272).

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

144580644 is a wasteful number, since it uses less digits than its factorization.

144580644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308956 (or 308951 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 144580644 is about 12024.1691604867. The cubic root of 144580644 is about 524.8518330178.

It can be divided in two parts, 1445806 and 44, that added together give a triangular number (1445850 = T1700).

The spelling of 144580644 in words is "one hundred forty-four million, five hundred eighty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 308933 617866 926799 1235732 1853598 2780397 3707196 4016129 5560794 8032258 11121588 12048387 16064516 24096774 36145161 48193548 72290322 144580644