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314401113312 = 2531113177917053
BaseRepresentation
bin1001001001100111100…
…01000100010011100000
31010001112011011101100020
410210303301010103200
520122343141111222
6400233414553440
731500103240416
oct4446361042340
91101464141306
10314401113312
11111378260940
1250b24368880
132385657ba30
14113079cd2b6
1582a1b2565c
hex4933c444e0

314401113312 has 384 divisors, whose sum is σ = 1039677327360. Its totient is φ = 81718640640.

The previous prime is 314401113289. The next prime is 314401113353. The reversal of 314401113312 is 213311104413.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18428178 + ... + 18445230.

It is an arithmetic number, because the mean of its divisors is an integer number (2707493040).

Almost surely, 2314401113312 is an apocalyptic number.

314401113312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314401113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519838663680).

314401113312 is an abundant number, since it is smaller than the sum of its proper divisors (725276214048).

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

314401113312 is a wasteful number, since it uses less digits than its factorization.

314401113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17186 (or 17178 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 314401113312 its reverse (213311104413), we get a palindrome (527712217725).

The spelling of 314401113312 in words is "three hundred fourteen billion, four hundred one million, one hundred thirteen thousand, three hundred twelve".