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144474132 = 223112322069
BaseRepresentation
bin10001001110010…
…00000000010100
3101001212001020210
420213020000110
5243441133012
622200325420
73403003245
oct1047100024
9331761223
10144474132
1174608610
1240473870
1323c1596a
141528accc
15ca3c23c
hex89c8014

144474132 has 72 divisors (see below), whose sum is σ = 384622560. Its totient is φ = 41856320.

The previous prime is 144474107. The next prime is 144474151. The reversal of 144474132 is 231474441.

It is a self number, because there is not a number n which added to its sum of digits gives 144474132.

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, 68794 + ... + 70862.

It is an arithmetic number, because the mean of its divisors is an integer number (5341980).

Almost surely, 2144474132 is an apocalyptic number.

144474132 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 144474132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192311280).

144474132 is an abundant number, since it is smaller than the sum of its proper divisors (240148428).

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

144474132 is a wasteful number, since it uses less digits than its factorization.

144474132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2133 (or 2108 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 144474132 is about 12019.7392650590. The cubic root of 144474132 is about 524.7229159180.

The spelling of 144474132 in words is "one hundred forty-four million, four hundred seventy-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 529 759 1012 1058 1518 1587 2069 2116 3036 3174 4138 5819 6207 6348 8276 11638 12414 17457 22759 23276 24828 34914 45518 47587 68277 69828 91036 95174 136554 142761 190348 273108 285522 523457 571044 1046914 1094501 1570371 2093828 2189002 3140742 3283503 4378004 6281484 6567006 12039511 13134012 24079022 36118533 48158044 72237066 144474132