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144681624 = 23322009467
BaseRepresentation
bin10001001111110…
…10101010011000
3101002020120212200
420213322222120
5244014302444
622205010200
73404526213
oct1047725230
9332216780
10144681624
117473a49a
1240553960
1323c89239
141530277a
15ca7d969
hex89faa98

144681624 has 24 divisors (see below), whose sum is σ = 391846260. Its totient is φ = 48227184.

The previous prime is 144681617. The next prime is 144681643. The reversal of 144681624 is 426186441.

It is a happy number.

144681624 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 (24).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1004662 + ... + 1004805.

Almost surely, 2144681624 is an apocalyptic number.

It is an amenable number.

144681624 is an abundant number, since it is smaller than the sum of its proper divisors (247164636).

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

144681624 is a wasteful number, since it uses less digits than its factorization.

144681624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009479 (or 2009472 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 144681624 is about 12028.3674702763. The cubic root of 144681624 is about 524.9739959909.

The spelling of 144681624 in words is "one hundred forty-four million, six hundred eighty-one thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2009467 4018934 6028401 8037868 12056802 16075736 18085203 24113604 36170406 48227208 72340812 144681624