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144972864 = 26322331353
BaseRepresentation
bin10001010010000…
…01110001000000
3101002210101101100
420221001301000
5244103112424
622215134400
73410151261
oct1051016100
9332711340
10144972864
1174919293
1240674400
132405b97a
141537a968
15cad9dc9
hex8a41c40

144972864 has 168 divisors, whose sum is σ = 448860672. Its totient is φ = 44605440.

The previous prime is 144972857. The next prime is 144972911. The reversal of 144972864 is 468279441.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410512 + ... + 410864.

Almost surely, 2144972864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224430336).

144972864 is an abundant number, since it is smaller than the sum of its proper divisors (303887808).

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

144972864 is a wasteful number, since it uses less digits than its factorization.

144972864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 412 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 144972864 is about 12040.4677649998. The cubic root of 144972864 is about 525.3260124781.

The spelling of 144972864 in words is "one hundred forty-four million, nine hundred seventy-two thousand, eight hundred sixty-four".