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14271244000 = 2553131272161
BaseRepresentation
bin11010100101010000…
…11110011011100000
31100211120212022101121
431102220132123200
5213211414302000
610320042142024
71013440400236
oct152250363340
940746768347
1014271244000
116063821932
1229234b1914
13146587bca0
14995522956
15587d61b1a
hex352a1e6e0

14271244000 has 192 divisors, whose sum is σ = 38076659712. Its totient is φ = 5225472000.

The previous prime is 14271243991. The next prime is 14271244021. The reversal of 14271244000 is 44217241.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6602920 + ... + 6605080.

It is an arithmetic number, because the mean of its divisors is an integer number (198315936).

Almost surely, 214271244000 is an apocalyptic number.

14271244000 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 14271244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19038329856).

14271244000 is an abundant number, since it is smaller than the sum of its proper divisors (23805415712).

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

14271244000 is a wasteful number, since it uses less digits than its factorization.

14271244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The spelling of 14271244000 in words is "fourteen billion, two hundred seventy-one million, two hundred forty-four thousand".