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12344112144414 = 233232432126029
BaseRepresentation
bin1011001110100001011001…
…1010110110000000011110
31121201002022101210020201000
42303220112122312000132
53104221220202110124
642130450135331130
72412555414665031
oct263502632660036
947632271706630
1012344112144414
113a2a12154a0a6
121474456220aa6
136b70774c889b
1430965b4b5018
151661730de6c9
hexb3a166b601e

12344112144414 has 48 divisors (see below), whose sum is σ = 28675883350800. Its totient is φ = 3935803863024.

The previous prime is 12344112144347. The next prime is 12344112144421. The reversal of 12344112144414 is 41444121144321.

12344112144414 is a `hidden beast` number, since 1 + 23 + 4 + 4 + 1 + 1 + 214 + 4 + 414 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216034449 + ... + 216091580.

It is an arithmetic number, because the mean of its divisors is an integer number (597414236475).

Almost surely, 212344112144414 is an apocalyptic number.

12344112144414 is an abundant number, since it is smaller than the sum of its proper divisors (16331771206386).

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

12344112144414 is a wasteful number, since it uses less digits than its factorization.

12344112144414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432126086 (or 432126057 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 12344112144414 its reverse (41444121144321), we get a palindrome (53788233288735).

The spelling of 12344112144414 in words is "twelve trillion, three hundred forty-four billion, one hundred twelve million, one hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 529 621 1058 1242 1587 3174 4761 9522 14283 28566 432126029 864252058 1296378087 2592756174 3889134261 7778268522 9938898667 11667402783 19877797334 23334805566 29816696001 59633392002 89450088003 178900176006 228594669341 268350264009 457189338682 536700528018 685784008023 1371568016046 2057352024069 4114704048138 6172056072207 12344112144414