Search a number
-
+
42011914368 = 273109406027
BaseRepresentation
bin100111001000000110…
…101111000010000000
311000102212211101011110
4213020012233002000
51142020022224433
631144445043320
73015044244234
oct471006570200
9130385741143
1042011914368
11168a96a3096
128185856540
133c66b3b938
1420678885c4
15115d44e963
hex9c81af080

42011914368 has 32 divisors (see below), whose sum is σ = 111594148560. Its totient is φ = 14003971328.

The previous prime is 42011914367. The next prime is 42011914381. The reversal of 42011914368 is 86341911024.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (42011914367) by changing a digit.

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, 54702630 + ... + 54703397.

Almost surely, 242011914368 is an apocalyptic number.

42011914368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42011914368 is an abundant number, since it is smaller than the sum of its proper divisors (69582234192).

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

42011914368 is a wasteful number, since it uses less digits than its factorization.

42011914368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109406044 (or 109406032 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 42011914368 in words is "forty-two billion, eleven million, nine hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 109406027 218812054 328218081 437624108 656436162 875248216 1312872324 1750496432 2625744648 3500992864 5251489296 7001985728 10502978592 14003971456 21005957184 42011914368