Search a number
-
+
1814511200139 = 32111937591632711
BaseRepresentation
bin11010011001111001010…
…010111010011110001011
320102110120101221111210200
4122121321102322132023
5214212104331401024
63505324104143243
7245044164502011
oct32317122723613
96373511844720
101814511200139
1163a5912a5080
122537b8167b23
1310215272b071
1463b73b148b1
15322ed9b82c9
hex1a6794ba78b

1814511200139 has 192 divisors, whose sum is σ = 3163901644800. Its totient is φ = 990007660800.

The previous prime is 1814511200123. The next prime is 1814511200147. The reversal of 1814511200139 is 9310021154181.

1814511200139 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 511 + 2 + 0 + 0 + 139 = 666.

It is not a de Polignac number, because 1814511200139 - 24 = 1814511200123 is a prime.

It is a super-2 number, since 2×18145112001392 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1814511204139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 669312994 + ... + 669315704.

It is an arithmetic number, because the mean of its divisors is an integer number (16478654400).

Almost surely, 21814511200139 is an apocalyptic number.

1814511200139 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1814511200139 is a deficient number, since it is larger than the sum of its proper divisors (1349390444661).

1814511200139 is a wasteful number, since it uses less digits than its factorization.

1814511200139 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 1814511200139 in words is "one trillion, eight hundred fourteen billion, five hundred eleven million, two hundred thousand, one hundred thirty-nine".