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314004111020 = 225171078631229
BaseRepresentation
bin1001001000111000001…
…10100111111010101100
31010000111111010120120122
410210130012213322230
520121040023023040
6400130153504112
731454212622345
oct4443406477254
91100444116518
10314004111020
11111194153176
1250a33412038
13237c2249a32
14112aada90cc
15827bd551b5
hex491c1a7eac

314004111020 has 48 divisors (see below), whose sum is σ = 704722667040. Its totient is φ = 117108501504.

The previous prime is 314004111011. The next prime is 314004111053. The reversal of 314004111020 is 20111400413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 314004111020.

It is an unprimeable number.

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, 4279235 + ... + 4351994.

It is an arithmetic number, because the mean of its divisors is an integer number (14681722230).

Almost surely, 2314004111020 is an apocalyptic number.

It is an amenable number.

314004111020 is an abundant number, since it is smaller than the sum of its proper divisors (390718556020).

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

314004111020 is a wasteful number, since it uses less digits than its factorization.

314004111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8631362 (or 8631360 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 314004111020 its reverse (20111400413), we get a palindrome (334115511433).

The spelling of 314004111020 in words is "three hundred fourteen billion, four million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 107 170 214 340 428 535 1070 1819 2140 3638 7276 9095 18190 36380 8631229 17262458 34524916 43156145 86312290 146730893 172624580 293461786 586923572 733654465 923541503 1467308930 1847083006 2934617860 3694166012 4617707515 9235415030 15700205551 18470830060 31400411102 62800822204 78501027755 157002055510 314004111020