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314342031042 = 233132241714251
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".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 2417 3042 4563 4834 7251 9126 14251 14502 21753 28502 31421 42753 43506 62842 65259 85506 94263 128259 130518 185263 188526 256518 282789 370526 384777 408473 555789 565578 769554 816946 848367 1111578 1225419 1667367 1696734 2408419 2450838 3334734 3676257 4816838 5002101 7225257 7352514 10004202 11028771 14450514 21675771 22057542 34444667 43351542 65027313 68889334 103334001 130054626 206668002 310002003 447780671 620004006 895561342 930006009 1343342013 1860012018 2686684026 4030026039 5821148723 8060052078 11642297446 12090078117 17463446169 24180156234 34926892338 52390338507 104780677014 157171015521 314342031042