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14275134720 = 283257211319
BaseRepresentation
bin11010100101101110…
…10100010100000000
31100211212011222110100
431102313110110000
5213213413302340
610320301402400
71013515433400
oct152267242400
940755158410
1014275134720
116065a3a000
122924869400
131466611ba2
14995c56800
1558837e830
hex352dd4500

14275134720 has 1296 divisors, whose sum is σ = 66521407680. Its totient is φ = 2810142720.

The previous prime is 14275134707. The next prime is 14275134721. The reversal of 14275134720 is 2743157241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14275134721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 751322871 + ... + 751322889.

Almost surely, 214275134720 is an apocalyptic number.

14275134720 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 14275134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33260703840).

14275134720 is an abundant number, since it is smaller than the sum of its proper divisors (52246272960).

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

14275134720 is a wasteful number, since it uses less digits than its factorization.

14275134720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 14275134720 in words is "fourteen billion, two hundred seventy-five million, one hundred thirty-four thousand, seven hundred twenty".