Search a number
-
+
42013123104 = 253437636699
BaseRepresentation
bin100111001000001011…
…010110001000100000
311000102222002210020110
4213020023112020200
51142020324414404
631144531011320
73015060440241
oct471013261040
9130388083213
1042013123104
11168aa349247
128186139b40
133c67172b74
142067ac0cc8
15115d5dcb89
hex9c82d6220

42013123104 has 24 divisors (see below), whose sum is σ = 110284448400. Its totient is φ = 14004374336.

The previous prime is 42013123099. The next prime is 42013123123. The reversal of 42013123104 is 40132131024.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 218818254 + ... + 218818445.

It is an arithmetic number, because the mean of its divisors is an integer number (4595185350).

Almost surely, 242013123104 is an apocalyptic number.

It is an amenable number.

42013123104 is an abundant number, since it is smaller than the sum of its proper divisors (68271325296).

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

42013123104 is a wasteful number, since it uses less digits than its factorization.

42013123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437636712 (or 437636704 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 42013123104 its reverse (40132131024), we get a palindrome (82145254128).

The spelling of 42013123104 in words is "forty-two billion, thirteen million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 437636699 875273398 1312910097 1750546796 2625820194 3501093592 5251640388 7002187184 10503280776 14004374368 21006561552 42013123104