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144256401 = 3216028489
BaseRepresentation
bin10001001100100…
…10110110010001
3101001102222120200
420212102312101
5243412201101
622151525413
73401105412
oct1046226621
9331388520
10144256401
1174479a73
1240389869
1323b6a823
1415231809
15c9e7986
hex8992d91

144256401 has 6 divisors (see below), whose sum is σ = 208370370. Its totient is φ = 96170928.

The previous prime is 144256397. The next prime is 144256403. The reversal of 144256401 is 104652441.

144256401 is a `hidden beast` number, since 1 + 4 + 4 + 256 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119246400 + 25010001 = 10920^2 + 5001^2 .

It is not a de Polignac number, because 144256401 - 22 = 144256397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144256403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8014236 + ... + 8014253.

It is an arithmetic number, because the mean of its divisors is an integer number (34728395).

Almost surely, 2144256401 is an apocalyptic number.

It is an amenable number.

144256401 is a deficient number, since it is larger than the sum of its proper divisors (64113969).

144256401 is a wasteful number, since it uses less digits than its factorization.

144256401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16028495 (or 16028492 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 144256401 is about 12010.6786236249. The cubic root of 144256401 is about 524.4591873073.

The spelling of 144256401 in words is "one hundred forty-four million, two hundred fifty-six thousand, four hundred one".

Divisors: 1 3 9 16028489 48085467 144256401