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144260256 = 2537214673
BaseRepresentation
bin10001001100100…
…11110010100000
3101001110011212110
420212103302200
5243412312011
622151555320
73401122560
oct1046236240
9331404773
10144260256
1174481958
124038bb40
1323b6c4ca
1415232da0
15c9e8ba6
hex8993ca0

144260256 has 48 divisors (see below), whose sum is σ = 432782784. Its totient is φ = 41217024.

The previous prime is 144260231. The next prime is 144260279. The reversal of 144260256 is 652062441.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1442602562 = 41622042922371072, 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 7 ways as a sum of consecutive naturals, for example, 106665 + ... + 108008.

It is an arithmetic number, because the mean of its divisors is an integer number (9016308).

Almost surely, 2144260256 is an apocalyptic number.

144260256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144260256 is an abundant number, since it is smaller than the sum of its proper divisors (288522528).

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

144260256 is a wasteful number, since it uses less digits than its factorization.

144260256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214693 (or 214685 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 144260256 is about 12010.8391047420. The cubic root of 144260256 is about 524.4638590172.

The spelling of 144260256 in words is "one hundred forty-four million, two hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 214673 429346 644019 858692 1288038 1502711 1717384 2576076 3005422 3434768 4508133 5152152 6010844 6869536 9016266 10304304 12021688 18032532 20608608 24043376 36065064 48086752 72130128 144260256