Search a number
-
+
231443020344132 = 223223392748598883
BaseRepresentation
bin110100100111111100000111…
…000000110110101101000100
31010100110201220000200112021100
4310213330013000312231010
5220313430301202003012
62140123242234420100
766515130541401642
oct6447740700665504
91110421800615240
10231443020344132
1167821485305a03
1221b5b25b291630
139c1aca2042a0c
144121c8ad68192
151bb556dc218dc
hexd27f07036b44

231443020344132 has 36 divisors (see below), whose sum is σ = 585286646358960. Its totient is φ = 77114690233392.

The previous prime is 231443020344131. The next prime is 231443020344161.

231443020344132 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 4 + 3 + 0 + 203 + 441 + 3 + 2 = 666.

231443020344132 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (231443020344131) 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 11 ways as a sum of consecutive naturals, for example, 1374215238 + ... + 1374383645.

It is an arithmetic number, because the mean of its divisors is an integer number (16257962398860).

Almost surely, 2231443020344132 is an apocalyptic number.

It is an amenable number.

231443020344132 is an abundant number, since it is smaller than the sum of its proper divisors (353843626014828).

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

231443020344132 is a wasteful number, since it uses less digits than its factorization.

231443020344132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748601232 (or 2748601227 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 231443020344132 in words is "two hundred thirty-one trillion, four hundred forty-three billion, twenty million, three hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2339 4678 7017 9356 14034 21051 28068 42102 84204 2748598883 5497197766 8245796649 10994395532 16491593298 24737389947 32983186596 49474779894 98949559788 6428972787337 12857945574674 19286918362011 25715891149348 38573836724022 57860755086033 77147673448044 115721510172066 231443020344132