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144135808 = 278313567
BaseRepresentation
bin10001001011101…
…01011010000000
3101001012212011021
420211311122000
5243344321213
622145155224
73400064005
oct1045653200
9331185137
10144135808
11743a7403
124032bb14
1323b2797b
14151dd8ac
15c9c1d8d
hex8975680

144135808 has 32 divisors (see below), whose sum is σ = 290626560. Its totient is φ = 71194368.

The previous prime is 144135731. The next prime is 144135811. The reversal of 144135808 is 808531441.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1441358082 = 41550262295625728, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 3841 + ... + 17407.

It is an arithmetic number, because the mean of its divisors is an integer number (9082080).

Almost surely, 2144135808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144135808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145313280).

144135808 is an abundant number, since it is smaller than the sum of its proper divisors (146490752).

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

144135808 is an equidigital number, since it uses as much as digits as its factorization.

144135808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13664 (or 13652 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 144135808 is about 12005.6573331076. The cubic root of 144135808 is about 524.3130037565.

It can be divided in two parts, 1441 and 35808, that added together give a square (37249 = 1932).

The spelling of 144135808 in words is "one hundred forty-four million, one hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 664 1328 2656 5312 10624 13567 27134 54268 108536 217072 434144 868288 1126061 1736576 2252122 4504244 9008488 18016976 36033952 72067904 144135808