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144997632 = 28321347103
BaseRepresentation
bin10001010010001…
…11110100000000
3101002211122100200
420221013310000
5244104411012
622215445200
73410313423
oct1051076400
9332748320
10144997632
117493595a
1240686800
132406a020
14153859ba
15cae23dc
hex8a47d00

144997632 has 216 divisors, whose sum is σ = 464265984. Its totient is φ = 43241472.

The previous prime is 144997613. The next prime is 144997669. The reversal of 144997632 is 236799441.

It is a happy number.

144997632 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 9 + 7 + 632 = 666.

Its product of digits (326592) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

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, 1407693 + ... + 1407795.

Almost surely, 2144997632 is an apocalyptic number.

144997632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232132992).

144997632 is an abundant number, since it is smaller than the sum of its proper divisors (319268352).

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

144997632 is a wasteful number, since it uses less digits than its factorization.

144997632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 144997632 is about 12041.4962525427. The cubic root of 144997632 is about 525.3559273496.

The spelling of 144997632 in words is "one hundred forty-four million, nine hundred ninety-seven thousand, six hundred thirty-two".