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314332001120 = 2551964575007
BaseRepresentation
bin1001001001011111010…
…01011011001101100000
31010001100100010010020102
410210233221123031200
520122222443013440
6400222505401532
731465303632224
oct4445751331540
91101310103212
10314332001120
11111342246925
1250b051992a8
1323845161347
14112dc75c784
15829aa22b15
hex492fa5b360

314332001120 has 24 divisors (see below), whose sum is σ = 742609353024. Its totient is φ = 125732800384.

The previous prime is 314332001111. The next prime is 314332001141. The reversal of 314332001120 is 21100233413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 314332001092 and 314332001101.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 982287344 + ... + 982287663.

It is an arithmetic number, because the mean of its divisors is an integer number (30942056376).

Almost surely, 2314332001120 is an apocalyptic number.

It is an amenable number.

314332001120 is an abundant number, since it is smaller than the sum of its proper divisors (428277351904).

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

314332001120 is a wasteful number, since it uses less digits than its factorization.

314332001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964575022 (or 1964575014 counting only the distinct ones).

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

Adding to 314332001120 its reverse (21100233413), we get a palindrome (335432234533).

The spelling of 314332001120 in words is "three hundred fourteen billion, three hundred thirty-two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1964575007 3929150014 7858300028 9822875035 15716600056 19645750070 31433200112 39291500140 62866400224 78583000280 157166000560 314332001120