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942134431249 = 11229733677957
BaseRepresentation
bin11011011010110111001…
…01101000111000010001
310100001210222010221222001
431231123211220320101
5110413442403244444
62000451030314001
7125031653350654
oct15553345507021
93301728127861
10942134431249
11333614363700
12132712ab8901
136aac5ac342b
143385724389b
15197915cc8d4
hexdb5b968e11

942134431249 has 24 divisors (see below), whose sum is σ = 1085953879080. Its totient is φ = 815623522560.

The previous prime is 942134431181. The next prime is 942134431289.

942134431249 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 32842500625 + 909291930624 = 181225^2 + 953568^2 .

It is not a de Polignac number, because 942134431249 - 29 = 942134430737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 942134431199 and 942134431208.

It is not an unprimeable number, because it can be changed into a prime (942134431289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1582822 + ... + 2095135.

It is an arithmetic number, because the mean of its divisors is an integer number (45248078295).

Almost surely, 2942134431249 is an apocalyptic number.

It is an amenable number.

942134431249 is a deficient number, since it is larger than the sum of its proper divisors (143819447831).

942134431249 is a wasteful number, since it uses less digits than its factorization.

942134431249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678081 (or 3678070 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

The spelling of 942134431249 in words is "nine hundred forty-two billion, one hundred thirty-four million, four hundred thirty-one thousand, two hundred forty-nine".

Divisors: 1 11 29 73 121 319 803 2117 3509 8833 23287 256157 3677957 40457527 106660753 268490861 445032797 1173268283 2953399471 7786234969 12905951113 32487394181 85648584659 942134431249