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144642972 = 223195231213
BaseRepresentation
bin10001001111100…
…01001110011100
3101002011121212010
420213301032130
5244012033342
622204111220
73404305425
oct1047611634
9332147763
10144642972
1174713451
1240535510
1323c74776
14152d264c
15ca7229c
hex89f139c

144642972 has 48 divisors (see below), whose sum is σ = 356236160. Its totient is φ = 45551808.

The previous prime is 144642961. The next prime is 144642973. The reversal of 144642972 is 279246441.

144642972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144642972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144642973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118638 + ... + 119850.

Almost surely, 2144642972 is an apocalyptic number.

144642972 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 144642972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178118080).

144642972 is an abundant number, since it is smaller than the sum of its proper divisors (211593188).

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

144642972 is a wasteful number, since it uses less digits than its factorization.

144642972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1760 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 144642972 is about 12026.7606611257. The cubic root of 144642972 is about 524.9272425250.

The spelling of 144642972 in words is "one hundred forty-four million, six hundred forty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 523 1046 1213 1569 2092 2426 3138 3639 4852 6276 7278 9937 14556 19874 23047 29811 39748 46094 59622 69141 92188 119244 138282 276564 634399 1268798 1903197 2537596 3806394 7612788 12053581 24107162 36160743 48214324 72321486 144642972