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14343345720 = 233251110733851
BaseRepresentation
bin11010101101110111…
…00001011000111000
31101000121112110100200
431112323201120320
5213333344030340
610331135402200
71015304266314
oct152673413070
941017473320
1014343345720
1160a0498a30
122943683360
1314777a5322
149a0d30b44
1558e355330
hex356ee1638

14343345720 has 192 divisors, whose sum is σ = 51330464640. Its totient is φ = 3444576000.

The previous prime is 14343345691. The next prime is 14343345733. The reversal of 14343345720 is 2754334341.

14343345720 is a `hidden beast` number, since 1 + 43 + 43 + 3 + 4 + 572 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 406795 + ... + 440645.

It is an arithmetic number, because the mean of its divisors is an integer number (267346170).

Almost surely, 214343345720 is an apocalyptic number.

14343345720 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 14343345720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25665232320).

14343345720 is an abundant number, since it is smaller than the sum of its proper divisors (36987118920).

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

14343345720 is a wasteful number, since it uses less digits than its factorization.

14343345720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33986 (or 33979 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

It can be divided in two parts, 14343 and 345720, that added together give a palindrome (360063).

The spelling of 14343345720 in words is "fourteen billion, three hundred forty-three million, three hundred forty-five thousand, seven hundred twenty".