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14298382080 = 283259411319
BaseRepresentation
bin11010101000011111…
…11111111100000000
31100220110221001211200
431110033333330000
5213240341211310
610322451541200
71014220146063
oct152417777400
940813831750
1014298382080
1160780780a4
1229305ba800
13146b391418
14998d888da
1558a4229c0
hex3543fff00

14298382080 has 216 divisors, whose sum is σ = 49561031520. Its totient is φ = 3805962240.

The previous prime is 14298382079. The next prime is 14298382093. The reversal of 14298382080 is 8028389241.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10839661 + ... + 10840979.

It is an arithmetic number, because the mean of its divisors is an integer number (229449220).

Almost surely, 214298382080 is an apocalyptic number.

14298382080 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 14298382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24780515760).

14298382080 is an abundant number, since it is smaller than the sum of its proper divisors (35262649440).

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

14298382080 is a wasteful number, since it uses less digits than its factorization.

14298382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 14298382080 in words is "fourteen billion, two hundred ninety-eight million, three hundred eighty-two thousand, eighty".