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144613044 = 22325375793
BaseRepresentation
bin10001001111010…
…01111010110100
3101002010002210200
420213221322310
5244010104134
622203320500
73404122242
oct1047517264
9332102720
10144613044
11746a2a14
1240520130
1323c63c64
14152c5792
15ca68499
hex89e9eb4

144613044 has 36 divisors (see below), whose sum is σ = 372451716. Its totient is φ = 47294208.

The previous prime is 144613043. The next prime is 144613061. The reversal of 144613044 is 440316441.

144613044 is a `hidden beast` number, since 1 + 4 + 4 + 613 + 0 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110250000 + 34363044 = 10500^2 + 5862^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 144612999 and 144613017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144613043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35989 + ... + 39804.

It is an arithmetic number, because the mean of its divisors is an integer number (10345881).

Almost surely, 2144613044 is an apocalyptic number.

It is an amenable number.

144613044 is an abundant number, since it is smaller than the sum of its proper divisors (227838672).

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

144613044 is a wasteful number, since it uses less digits than its factorization.

144613044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75856 (or 75851 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 144613044 is about 12025.5163714495. The cubic root of 144613044 is about 524.8910358894.

Adding to 144613044 its reverse (440316441), we get a palindrome (584929485).

The spelling of 144613044 in words is "one hundred forty-four million, six hundred thirteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 75793 151586 227379 303172 454758 682137 909516 1364274 2728548 4017029 8034058 12051087 16068116 24102174 36153261 48204348 72306522 144613044