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42314022312 = 23317871311903
BaseRepresentation
bin100111011010000111…
…001011110110101000
311001012221022001100120
4213122013023312220
51143124342203222
631234440203240
73025403153352
oct473207136650
9131187261316
1042314022312
1116a44187281
12824aa69520
133cb45c7033
142095a4a0d2
151179c2815c
hex9da1cbda8

42314022312 has 64 divisors (see below), whose sum is σ = 112029972480. Its totient is φ = 13272348672.

The previous prime is 42314022299. The next prime is 42314022313. The reversal of 42314022312 is 21322041324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42314022313) 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 15 ways as a sum of consecutive naturals, for example, 3548953 + ... + 3560855.

It is an arithmetic number, because the mean of its divisors is an integer number (1750468320).

Almost surely, 242314022312 is an apocalyptic number.

It is an amenable number.

42314022312 is an abundant number, since it is smaller than the sum of its proper divisors (69715950168).

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

42314022312 is a wasteful number, since it uses less digits than its factorization.

42314022312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20642 (or 20638 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42314022312 its reverse (21322041324), we get a palindrome (63636063636).

The spelling of 42314022312 in words is "forty-two billion, three hundred fourteen million, twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 8713 11903 17426 23806 26139 34852 35709 47612 52278 69704 71418 95224 104556 142836 148121 202351 209112 285672 296242 404702 444363 592484 607053 809404 888726 1184968 1214106 1618808 1777452 2428212 3554904 4856424 103710839 207421678 311132517 414843356 622265034 829686712 1244530068 1763084263 2489060136 3526168526 5289252789 7052337052 10578505578 14104674104 21157011156 42314022312