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2344117299832 = 237311199534289
BaseRepresentation
bin100010000111001000010…
…001110110101001111000
322022002120120020220210001
4202013020101312221320
5301401223012043312
64552512253002344
7331233261202000
oct42071021665170
98262516226701
102344117299832
11824153117460
1231a3801833b4
13140084456b09
1481654d29000
1540e98869057
hex221c8476a78

2344117299832 has 256 divisors, whose sum is σ = 5893430400000. Its totient is φ = 864115015680.

The previous prime is 2344117299791. The next prime is 2344117299871. The reversal of 2344117299832 is 2389927114432.

It is a super-4 number, since 4×23441172998324 (a number of 51 digits) contains 4444 as substring.

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, 546539544 + ... + 546543832.

It is an arithmetic number, because the mean of its divisors is an integer number (23021212500).

Almost surely, 22344117299832 is an apocalyptic number.

2344117299832 is a gapful number since it is divisible by the number (22) 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 2344117299832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946715200000).

2344117299832 is an abundant number, since it is smaller than the sum of its proper divisors (3549313100168).

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

2344117299832 is a wasteful number, since it uses less digits than its factorization.

2344117299832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5299 (or 5281 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 55.

The spelling of 2344117299832 in words is "two trillion, three hundred forty-four billion, one hundred seventeen million, two hundred ninety-nine thousand, eight hundred thirty-two".