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144095472 = 24324332311
BaseRepresentation
bin10001001011010…
…11100011110000
3101001010210211100
420211223203300
5243342023342
622144244400
73366535263
oct1045534360
9331123740
10144095472
117437a074
1240310700
1323b124c1
14151cccda
15c9b4e4c
hex896b8f0

144095472 has 60 divisors (see below), whose sum is σ = 404373424. Its totient is φ = 47900160.

The previous prime is 144095431. The next prime is 144095473. The reversal of 144095472 is 274590441.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144095473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61197 + ... + 63507.

Almost surely, 2144095472 is an apocalyptic number.

144095472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144095472 is an abundant number, since it is smaller than the sum of its proper divisors (260277952).

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

144095472 is a wasteful number, since it uses less digits than its factorization.

144095472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 144095472 is about 12003.9773408650. The cubic root of 144095472 is about 524.2640900209.

It can be divided in two parts, 14409 and 5472, that added together give a square (19881 = 1412).

The spelling of 144095472 in words is "one hundred forty-four million, ninety-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 433 866 1299 1732 2311 2598 3464 3897 4622 5196 6928 6933 7794 9244 10392 13866 15588 18488 20784 20799 27732 31176 36976 41598 55464 62352 83196 110928 166392 332784 1000663 2001326 3001989 4002652 6003978 8005304 9005967 12007956 16010608 18011934 24015912 36023868 48031824 72047736 144095472