Search a number
-
+
39142372128 = 253407733043
BaseRepresentation
bin100100011101000100…
…010011001100100000
310202000220021112020020
4210131010103030200
51120130421402003
625552020513440
72553661446666
oct443504231440
9122026245206
1039142372128
1115666937582
12770484b880
1338ca4a3352
141c74720c36
151041579d53
hex91d113320

39142372128 has 24 divisors (see below), whose sum is σ = 102748727088. Its totient is φ = 13047457344.

The previous prime is 39142372117. The next prime is 39142372133. The reversal of 39142372128 is 82127324193.

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

It is a self number, because there is not a number n which added to its sum of digits gives 39142372128.

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, 203866426 + ... + 203866617.

It is an arithmetic number, because the mean of its divisors is an integer number (4281196962).

Almost surely, 239142372128 is an apocalyptic number.

It is an amenable number.

39142372128 is an abundant number, since it is smaller than the sum of its proper divisors (63606354960).

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

39142372128 is a wasteful number, since it uses less digits than its factorization.

39142372128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407733056 (or 407733048 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The spelling of 39142372128 in words is "thirty-nine billion, one hundred forty-two million, three hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 407733043 815466086 1223199129 1630932172 2446398258 3261864344 4892796516 6523728688 9785593032 13047457376 19571186064 39142372128