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13330310144 = 210127102503
BaseRepresentation
bin11000110101000110…
…00110010000000000
31021102000022220210112
430122203012100000
5204300024411034
610042430450452
7651223523654
oct143243062000
937360286715
1013330310144
115720681348
122700363a28
1313459529a8
1490658ca64
1553044b7ce
hex31a8c6400

13330310144 has 44 divisors (see below), whose sum is σ = 26857688064. Its totient is φ = 6612609024.

The previous prime is 13330310131. The next prime is 13330310173. The reversal of 13330310144 is 44101303331.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 78797 + ... + 181299.

Almost surely, 213330310144 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 13330310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13428844032).

13330310144 is an abundant number, since it is smaller than the sum of its proper divisors (13527377920).

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

13330310144 is a wasteful number, since it uses less digits than its factorization.

13330310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102650 (or 102632 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13330310144 its reverse (44101303331), we get a palindrome (57431613475).

The spelling of 13330310144 in words is "thirteen billion, three hundred thirty million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 1016 1024 2032 4064 8128 16256 32512 65024 102503 130048 205006 410012 820024 1640048 3280096 6560192 13017881 13120384 26035762 26240768 52071524 52481536 104143048 104963072 208286096 416572192 833144384 1666288768 3332577536 6665155072 13330310144