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64144001 = 614612281
BaseRepresentation
bin1111010010110…
…0001010000001
311110200212000202
43310230022001
5112410102001
610210454545
71406133515
oct364541201
9143625022
1064144001
1133231379
1219594455
131039b23c
14873a145
15597096b
hex3d2c281

64144001 has 8 divisors (see below), whose sum is σ = 65365608. Its totient is φ = 62928000.

The previous prime is 64143997. The next prime is 64144007. The reversal of 64144001 is 10044146.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 160000 + 63984001 = 400^2 + 7999^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 64144001 - 22 = 64143997 is a prime.

It is a super-2 number, since 2×641440012 = 8228905728576002, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (64144007) by changing a digit.

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, 26981 + ... + 29261.

It is an arithmetic number, because the mean of its divisors is an integer number (8170701).

Almost surely, 264144001 is an apocalyptic number.

64144001 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

64144001 is a deficient number, since it is larger than the sum of its proper divisors (1221607).

64144001 is a wasteful number, since it uses less digits than its factorization.

64144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 64144001 is about 8008.9950056171. The cubic root of 64144001 is about 400.2997773610.

Adding to 64144001 its reverse (10044146), we get a palindrome (74188147).

The spelling of 64144001 in words is "sixty-four million, one hundred forty-four thousand, one".

Divisors: 1 61 461 2281 28121 139141 1051541 64144001