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144275456 = 211135419
BaseRepresentation
bin10001001100101…
…11100000000000
3101001110221201102
420212113200000
5243413303311
622152153532
73401215103
oct1046274000
9331427642
10144275456
1174492316
12403988a8
1323b763c0
141523873a
15c9ed43b
hex8997800

144275456 has 48 divisors (see below), whose sum is σ = 310728600. Its totient is φ = 66576384.

The previous prime is 144275441. The next prime is 144275471. The reversal of 144275456 is 654572441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144275441) and next prime (144275471).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23915 + ... + 29333.

Almost surely, 2144275456 is an apocalyptic number.

144275456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144275456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155364300).

144275456 is an abundant number, since it is smaller than the sum of its proper divisors (166453144).

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

144275456 is an equidigital number, since it uses as much as digits as its factorization.

144275456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454 (or 5434 counting only the distinct ones).

The product of its digits is 134400, while the sum is 38.

The square root of 144275456 is about 12011.4718498609. The cubic root of 144275456 is about 524.4822784371.

The spelling of 144275456 in words is "one hundred forty-four million, two hundred seventy-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 5419 6656 10838 13312 21676 26624 43352 70447 86704 140894 173408 281788 346816 563576 693632 1127152 1387264 2254304 2774528 4508608 5549056 9017216 11098112 18034432 36068864 72137728 144275456