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14356454112 = 253271113192621
BaseRepresentation
bin11010101111011011…
…00001101011100000
31101001112012102200200
431113231201223200
5213400223012422
610332324345200
71015523563230
oct152755415340
941045172620
1014356454112
1160a7931510
122947b45200
13147a414980
149a2983cc0
155905942ac
hex357b61ae0

14356454112 has 576 divisors, whose sum is σ = 57722595840. Its totient is φ = 3259699200.

The previous prime is 14356454033. The next prime is 14356454149. The reversal of 14356454112 is 21145465341.

14356454112 is a `hidden beast` number, since 1 + 4 + 3 + 5 + 645 + 4 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×143564541122 (a number of 21 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5476162 + ... + 5478782.

It is an arithmetic number, because the mean of its divisors is an integer number (100212840).

Almost surely, 214356454112 is an apocalyptic number.

14356454112 is a gapful number since it is divisible by the number (12) 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 14356454112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28861297920).

14356454112 is an abundant number, since it is smaller than the sum of its proper divisors (43366141728).

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

14356454112 is a wasteful number, since it uses less digits than its factorization.

14356454112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2676 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 14356454112 in words is "fourteen billion, three hundred fifty-six million, four hundred fifty-four thousand, one hundred twelve".