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144357640 = 2357515563
BaseRepresentation
bin10001001101010…
…11100100001000
3101001122010110021
420212223210020
5243423421030
622154030224
73402006520
oct1046534410
9331563407
10144357640
1174539039
1240418374
1323ba492b
141525a680
15ca1797a
hex89ab908

144357640 has 32 divisors (see below), whose sum is σ = 371206080. Its totient is φ = 49493952.

The previous prime is 144357623. The next prime is 144357641. The reversal of 144357640 is 46753441.

It is a junction number, because it is equal to n+sod(n) for n = 144357596 and 144357605.

It is not an unprimeable number, because it can be changed into a prime (144357641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 257502 + ... + 258061.

It is an arithmetic number, because the mean of its divisors is an integer number (11600190).

Almost surely, 2144357640 is an apocalyptic number.

144357640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144357640 is an abundant number, since it is smaller than the sum of its proper divisors (226848440).

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

144357640 is a wasteful number, since it uses less digits than its factorization.

144357640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515581 (or 515577 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 144357640 is about 12014.8924256524. The cubic root of 144357640 is about 524.5818469312.

The spelling of 144357640 in words is "one hundred forty-four million, three hundred fifty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 515563 1031126 2062252 2577815 3608941 4124504 5155630 7217882 10311260 14435764 18044705 20622520 28871528 36089410 72178820 144357640