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BaseRepresentation
bin1001001001100000011…
…11101011111011000010
31010001101000222200201000
410210300033223323002
520122233024443132
6400223504352430
731465455115044
oct4446017537302
91101330880630
10314342031042
11111347977516
1250b08615716
1323847263700
14112ddc0da94
15829b85487c
hex49303ebec2

314342031042 has 96 divisors (see below), whose sum is σ = 756770938560. Its totient is φ = 96673824000.

The previous prime is 314342031041. The next prime is 314342031043. The reversal of 314342031042 is 240130243413.

Adding to 314342031042 its reverse (240130243413), we get a palindrome (554472274455).

314342031042 is a `hidden beast` number, since 3 + 1 + 4 + 342 + 0 + 310 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (314342031041) and next prime (314342031043).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 314342030997 and 314342031015.

It is not an unprimeable number, because it can be changed into a prime (314342031041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22050417 + ... + 22064667.

It is an arithmetic number, because the mean of its divisors is an integer number (7883030610).

Almost surely, 2314342031042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314342031042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378385469280).

314342031042 is an abundant number, since it is smaller than the sum of its proper divisors (442428907518).

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

314342031042 is a wasteful number, since it uses less digits than its factorization.

314342031042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16705 (or 16686 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 314342031042 in words is "three hundred fourteen billion, three hundred forty-two million, thirty-one thousand, forty-two".