Search a number
-
+
234125011515321 = 32292294219304429
BaseRepresentation
bin110101001110111101111010…
…001001001111011110111001
31010200222010120121020111002200
4311032331322021033132321
5221141401010421442241
62145535313453220413
7100212655020250323
oct6516757211173671
91120863517214080
10234125011515321
1168665950412793
1222312bb4791709
13a083b80a41ca4
1441b59d5074613
151c101dec574b6
hexd4ef7a24f7b9

234125011515321 has 48 divisors (see below), whose sum is σ = 352204310562000. Its totient is φ = 149686660247040.

The previous prime is 234125011515293. The next prime is 234125011515377. The reversal of 234125011515321 is 123515110521432.

234125011515321 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 2 + 5 + 0 + 115 + 1 + 532 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 46022113281600 + 188102898233721 = 6783960^2 + 13715061^2 .

It is not a de Polignac number, because 234125011515321 - 27 = 234125011515193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (234125011515821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20510535 + ... + 29814963.

It is an arithmetic number, because the mean of its divisors is an integer number (7337589803375).

Almost surely, 2234125011515321 is an apocalyptic number.

It is an amenable number.

234125011515321 is a deficient number, since it is larger than the sum of its proper divisors (118079299046679).

234125011515321 is a wasteful number, since it uses less digits than its factorization.

234125011515321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9305114 (or 9305111 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 234125011515321 in words is "two hundred thirty-four trillion, one hundred twenty-five billion, eleven million, five hundred fifteen thousand, three hundred twenty-one".

Divisors: 1 3 9 29 87 229 261 421 687 1263 2061 3789 6641 12209 19923 36627 59769 96409 109881 289227 867681 2795861 8387583 9304429 25162749 27913287 83739861 269828441 809485323 2130714241 2428455969 3917164609 6392142723 11751493827 19176428169 35254481481 61790712989 113597773661 185372138967 340793320983 556116416901 897030695461 1022379962949 2691092086383 8073276259149 26013890168369 78041670505107 234125011515321