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144454032 = 24321759009
BaseRepresentation
bin10001001110000…
…11000110010000
3101001211000200100
420213003012100
5243440012112
622200052400
73402560532
oct1047030620
9331730610
10144454032
11745a44a8
1240464100
1323c09778
1415283852
15ca362dc
hex89c3190

144454032 has 60 divisors (see below), whose sum is σ = 428058540. Its totient is φ = 45318144.

The previous prime is 144454019. The next prime is 144454043. The reversal of 144454032 is 230454441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 86936976 + 57517056 = 9324^2 + 7584^2 .

It is a super-2 number, since 2×1444540322 = 41733934722114048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144453987 and 144454005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27057 + ... + 31952.

It is an arithmetic number, because the mean of its divisors is an integer number (7134309).

Almost surely, 2144454032 is an apocalyptic number.

144454032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144454032 is an abundant number, since it is smaller than the sum of its proper divisors (283604508).

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

144454032 is a wasteful number, since it uses less digits than its factorization.

144454032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59040 (or 59031 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 144454032 is about 12018.9031113492. The cubic root of 144454032 is about 524.6985807202.

The spelling of 144454032 in words is "one hundred forty-four million, four hundred fifty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 59009 118018 177027 236036 354054 472072 531081 708108 944144 1003153 1062162 1416216 2006306 2124324 2832432 3009459 4012612 4248648 6018918 8025224 8497296 9028377 12037836 16050448 18056754 24075672 36113508 48151344 72227016 144454032