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314010312032 = 2519516464329
BaseRepresentation
bin1001001000111000111…
…10010001110101100000
31010000111220210121202202
410210130132101311200
520121043114441112
6400130534432332
731454316420164
oct4443436216540
91100456717682
10314010312032
111111976a907a
1250a355026a8
13237c360b381
14112abb40ca4
15827c67c6c2
hex491c791d60

314010312032 has 24 divisors (see below), whose sum is σ = 650745055800. Its totient is φ = 148741726464.

The previous prime is 314010312023. The next prime is 314010312037. The reversal of 314010312032 is 230213010413.

It is a junction number, because it is equal to n+sod(n) for n = 314010311995 and 314010312013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314010312037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 258231557 + ... + 258232772.

It is an arithmetic number, because the mean of its divisors is an integer number (27114377325).

Almost surely, 2314010312032 is an apocalyptic number.

314010312032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

314010312032 is an abundant number, since it is smaller than the sum of its proper divisors (336734743768).

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

314010312032 is a wasteful number, since it uses less digits than its factorization.

314010312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516464358 (or 516464350 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 314010312032 its reverse (230213010413), we get a palindrome (544223322445).

The spelling of 314010312032 in words is "three hundred fourteen billion, ten million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 516464329 1032928658 2065857316 4131714632 8263429264 9812822251 16526858528 19625644502 39251289004 78502578008 157005156016 314010312032