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144075536 = 24114791709
BaseRepresentation
bin10001001011001…
…10101100010000
3101001002210110222
420211212230100
5243340404121
622144012212
73366423203
oct1045465420
9331083428
10144075536
11743660a0
1240301068
1323b063c7
14151c593a
15c9ae0ab
hex8966b10

144075536 has 40 divisors (see below), whose sum is σ = 305337600. Its totient is φ = 65313920.

The previous prime is 144075523. The next prime is 144075551. The reversal of 144075536 is 635570441.

It is a junction number, because it is equal to n+sod(n) for n = 144075496 and 144075505.

It is an unprimeable number.

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, 83450 + ... + 85158.

It is an arithmetic number, because the mean of its divisors is an integer number (7633440).

Almost surely, 2144075536 is an apocalyptic number.

144075536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144075536 is an abundant number, since it is smaller than the sum of its proper divisors (161262064).

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

144075536 is a wasteful number, since it uses less digits than its factorization.

144075536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 144075536 is about 12003.1469207038. The cubic root of 144075536 is about 524.2399111188.

The spelling of 144075536 in words is "one hundred forty-four million, seventy-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 479 958 1709 1916 3418 3832 5269 6836 7664 10538 13672 18799 21076 27344 37598 42152 75196 84304 150392 300784 818611 1637222 3274444 6548888 9004721 13097776 18009442 36018884 72037768 144075536