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144190272 = 2637271033
BaseRepresentation
bin10001001100000…
…10101101000000
3101001022121212110
420212002231000
5243403042042
622150255320
73400411542
oct1046025500
9331277773
10144190272
1174434316
1240357540
1323b466b5
1415215692
15c9d309c
hex8982b40

144190272 has 56 divisors (see below), whose sum is σ = 382398016. Its totient is φ = 47950848.

The previous prime is 144190271. The next prime is 144190273. The reversal of 144190272 is 272091441.

It is an interprime number because it is at equal distance from previous prime (144190271) and next prime (144190273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144190271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139068 + ... + 140100.

It is an arithmetic number, because the mean of its divisors is an integer number (6828536).

Almost surely, 2144190272 is an apocalyptic number.

144190272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144190272 is an abundant number, since it is smaller than the sum of its proper divisors (238207744).

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

144190272 is a wasteful number, since it uses less digits than its factorization.

144190272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 144190272 is about 12007.9253828461. The cubic root of 144190272 is about 524.3790354336.

The spelling of 144190272 in words is "one hundred forty-four million, one hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 727 1033 1454 2066 2181 2908 3099 4132 4362 5816 6198 8264 8724 11632 12396 16528 17448 23264 24792 33056 34896 46528 49584 66112 69792 99168 139584 198336 750991 1501982 2252973 3003964 4505946 6007928 9011892 12015856 18023784 24031712 36047568 48063424 72095136 144190272