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144312944364 = 22324327926437
BaseRepresentation
bin1000011001100110111…
…0001100011011101100
3111210111102021011011100
42012121232030123230
54331023103204424
6150144011123100
713266131534061
oct2063156143354
9453442234140
10144312944364
1156225993076
1223b76143490
13107bb294294
146db0364c68
153b496b0dc9
hex2199b8c6ec

144312944364 has 36 divisors (see below), whose sum is σ = 364875753424. Its totient is φ = 48093145632.

The previous prime is 144312944327. The next prime is 144312944371. The reversal of 144312944364 is 463449213441.

144312944364 is a `hidden beast` number, since 144 + 3 + 1 + 2 + 9 + 443 + 64 = 666.

144312944364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×1443129443642 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307447 + ... + 618990.

Almost surely, 2144312944364 is an apocalyptic number.

It is an amenable number.

144312944364 is an abundant number, since it is smaller than the sum of its proper divisors (220562809060).

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

144312944364 is a wasteful number, since it uses less digits than its factorization.

144312944364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930774 (or 930769 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 144312944364 in words is "one hundred forty-four billion, three hundred twelve million, nine hundred forty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4327 8654 12981 17308 25962 38943 51924 77886 155772 926437 1852874 2779311 3705748 5558622 8337933 11117244 16675866 33351732 4008692899 8017385798 12026078697 16034771596 24052157394 36078236091 48104314788 72156472182 144312944364