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12314432022340 = 22577119715714003
BaseRepresentation
bin1011001100110010110101…
…0110001010011101000100
31121121020200221101211100111
42303030231112022131010
53103224424044203330
642105101051322404
72410455051055630
oct263145526123504
947536627354314
1012314432022340
113a18580927098
12146a752450404
136b43274a1286
14308043735dc0
151654d75ee32a
hexb332d58a744

12314432022340 has 192 divisors, whose sum is σ = 30149740228608. Its totient is φ = 4137824678400.

The previous prime is 12314432022337. The next prime is 12314432022377. The reversal of 12314432022340 is 4322023441321.

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, 3076298779 + ... + 3076302781.

It is an arithmetic number, because the mean of its divisors is an integer number (157029897024).

Almost surely, 212314432022340 is an apocalyptic number.

12314432022340 is a gapful number since it is divisible by the number (10) 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 12314432022340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15074870114304).

12314432022340 is an abundant number, since it is smaller than the sum of its proper divisors (17835308206268).

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

12314432022340 is a wasteful number, since it uses less digits than its factorization.

12314432022340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5858 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 12314432022340 its reverse (4322023441321), we get a palindrome (16636455463661).

The spelling of 12314432022340 in words is "twelve trillion, three hundred fourteen billion, four hundred thirty-two million, twenty-two thousand, three hundred forty".