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2314230334416 = 24337111323232681
BaseRepresentation
bin100001101011010010111…
…000001000001111010000
322012020102200122202201000
4201223102320020033100
5300404020431200131
64531050455342000
7326124533164020
oct41532270101720
98166380582630
102314230334416
11812506767a40
1231461b081900
1313a30061a3b0
148001b905a80
15402e9b1bce6
hex21ad2e083d0

2314230334416 has 640 divisors, whose sum is σ = 9306684334080. Its totient is φ = 530733772800.

The previous prime is 2314230334399. The next prime is 2314230334421. The reversal of 2314230334416 is 6144330324132.

It is a happy number.

2314230334416 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 2 + 303 + 344 + 1 + 6 = 666.

It is a super-2 number, since 2×23142303344162 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 9829596 + ... + 10062276.

It is an arithmetic number, because the mean of its divisors is an integer number (14541694272).

Almost surely, 22314230334416 is an apocalyptic number.

2314230334416 is a gapful number since it is divisible by the number (26) 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 2314230334416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653342167040).

2314230334416 is an abundant number, since it is smaller than the sum of its proper divisors (6992453999664).

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

2314230334416 is a wasteful number, since it uses less digits than its factorization.

2314230334416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232752 (or 232740 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 2314230334416 its reverse (6144330324132), we get a palindrome (8458560658548).

The spelling of 2314230334416 in words is "two trillion, three hundred fourteen billion, two hundred thirty million, three hundred thirty-four thousand, four hundred sixteen".