Search a number
-
+
144494604 = 2235612437
BaseRepresentation
bin10001001110011…
…01000000001100
3101001220002100000
420213031000030
5243442311404
622201004300
73403120032
oct1047150014
9331802300
10144494604
1174621a31
1240483690
1323c22087
1415294552
15ca43339
hex89cd00c

144494604 has 72 divisors (see below), whose sum is σ = 385145488. Its totient is φ = 47355840.

The previous prime is 144494593. The next prime is 144494641. The reversal of 144494604 is 406494441.

144494604 is a `hidden beast` number, since 1 + 4 + 4 + 49 + 4 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58074 + ... + 60510.

Almost surely, 2144494604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144494604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192572744).

144494604 is an abundant number, since it is smaller than the sum of its proper divisors (240650884).

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

144494604 is a wasteful number, since it uses less digits than its factorization.

144494604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 144494604 is about 12020.5908340647. The cubic root of 144494604 is about 524.7476991786.

The spelling of 144494604 in words is "one hundred forty-four million, four hundred ninety-four thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 324 366 486 549 732 972 1098 1647 2196 2437 3294 4874 4941 6588 7311 9748 9882 14622 14823 19764 21933 29244 29646 43866 59292 65799 87732 131598 148657 197397 263196 297314 394794 445971 592191 594628 789588 891942 1184382 1337913 1783884 2368764 2675826 4013739 5351652 8027478 12041217 16054956 24082434 36123651 48164868 72247302 144494604