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312134014500 = 2235371119114149
BaseRepresentation
bin1001000101011001010…
…00110001011000100100
31002211200011012211102120
410202230220301120210
520103222301431000
6355220431105540
731356654230040
oct4425450613044
91084604184376
10312134014500
11110414571a60
12505b10722b0
1323584986249
1411170887020
1581bcaa26a0
hex48aca31624

312134014500 has 384 divisors, whose sum is σ = 1139230310400. Its totient is φ = 64514880000.

The previous prime is 312134014469. The next prime is 312134014547. The reversal of 312134014500 is 5410431213.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22053426 + ... + 22067574.

It is an arithmetic number, because the mean of its divisors is an integer number (2966745600).

Almost surely, 2312134014500 is an apocalyptic number.

312134014500 is a gapful number since it is divisible by the number (30) 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 312134014500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569615155200).

312134014500 is an abundant number, since it is smaller than the sum of its proper divisors (827096295900).

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

312134014500 is a wasteful number, since it uses less digits than its factorization.

312134014500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14380 (or 14368 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 312134014500 its reverse (5410431213), we get a palindrome (317544445713).

The spelling of 312134014500 in words is "three hundred twelve billion, one hundred thirty-four million, fourteen thousand, five hundred".