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144961633 = 2918127617
BaseRepresentation
bin10001010001111…
…11000001100001
3101002202210222101
420220333001201
5244102233013
622215010401
73410103445
oct1050770141
9332683871
10144961633
1174910903
1240669a01
132405681b
1415376825
15cad68dd
hex8a3f061

144961633 has 8 divisors (see below), whose sum is σ = 150794280. Its totient is φ = 139184640.

The previous prime is 144961631. The next prime is 144961637. The reversal of 144961633 is 336169441.

It can be written as a sum of positive squares in 4 ways, for example, as 13927824 + 131033809 = 3732^2 + 11447^2 .

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 144961633 - 21 = 144961631 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144961592 and 144961601.

It is not an unprimeable number, because it can be changed into a prime (144961631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8560 + ... + 19057.

It is an arithmetic number, because the mean of its divisors is an integer number (18849285).

Almost surely, 2144961633 is an apocalyptic number.

It is an amenable number.

144961633 is a deficient number, since it is larger than the sum of its proper divisors (5832647).

144961633 is a wasteful number, since it uses less digits than its factorization.

144961633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27827.

The product of its digits is 46656, while the sum is 37.

The square root of 144961633 is about 12040.0013704318. The cubic root of 144961633 is about 525.3124465168.

It can be divided in two parts, 14496 and 1633, that added together give a square (16129 = 1272).

The spelling of 144961633 in words is "one hundred forty-four million, nine hundred sixty-one thousand, six hundred thirty-three".

Divisors: 1 29 181 5249 27617 800893 4998677 144961633