Search a number
-
+
10044014144 = 26156937721
BaseRepresentation
bin10010101101010101…
…10111111001000000
3221220222120210011212
421112222313321000
5131032231423034
64340354025252
7503620466033
oct112652677100
927828523155
1010044014144
11429464753a
121b43878228
13c40b5b148
146b3d3d01a
153dbba42ce
hex256ab7e40

10044014144 has 14 divisors (see below), whose sum is σ = 19931090694. Its totient is φ = 5022007040.

The previous prime is 10044014143. The next prime is 10044014147. The reversal of 10044014144 is 44141044001.

10044014144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9232903744 + 811110400 = 96088^2 + 28480^2 .

It is not an unprimeable number, because it can be changed into a prime (10044014143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 78468797 + ... + 78468924.

Almost surely, 210044014144 is an apocalyptic number.

It is an amenable number.

10044014144 is a deficient number, since it is larger than the sum of its proper divisors (9887076550).

10044014144 is an equidigital number, since it uses as much as digits as its factorization.

10044014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156937733 (or 156937723 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 10044014144 its reverse (44141044001), we get a palindrome (54185058145).

The spelling of 10044014144 in words is "ten billion, forty-four million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 156937721 313875442 627750884 1255501768 2511003536 5022007072 10044014144