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3860042144 = 25717232331
BaseRepresentation
bin1110011000010011…
…1001000110100000
3100222000100110100212
43212010321012200
530401132322034
61435010033252
7164440550120
oct34604710640
910860313325
103860042144
111700990882
128b8878828
1349692a60a
14288920c80
15178d2b2ce
hexe61391a0

3860042144 has 24 divisors (see below), whose sum is σ = 8685095328. Its totient is φ = 1654303680.

The previous prime is 3860042141. The next prime is 3860042209. The reversal of 3860042144 is 4412400683.

It is a super-2 number, since 2×38600421442 = 29799850706912233472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3860042144.

It is not an unprimeable number, because it can be changed into a prime (3860042141) 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, 8615942 + ... + 8616389.

It is an arithmetic number, because the mean of its divisors is an integer number (361878972).

Almost surely, 23860042144 is an apocalyptic number.

It is an amenable number.

3860042144 is an abundant number, since it is smaller than the sum of its proper divisors (4825053184).

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

3860042144 is a wasteful number, since it uses less digits than its factorization.

3860042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17232348 (or 17232340 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 3860042144 is about 62129.2374329510. The cubic root of 3860042144 is about 1568.6667171990. Note that the first 3 decimals are identical.

The spelling of 3860042144 in words is "three billion, eight hundred sixty million, forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 17232331 34464662 68929324 120626317 137858648 241252634 275717296 482505268 551434592 965010536 1930021072 3860042144