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14369782284 = 2232111331127709
BaseRepresentation
bin11010110001000000…
…10111101000001100
31101002110021120111200
431120200113220030
5213412131013114
610333522145500
71016045063664
oct153040275014
941073246450
1014369782284
116104405130
1229504b2290
131480100370
149a46531a4
15591828409
hex358817a0c

14369782284 has 288 divisors, whose sum is σ = 44459950080. Its totient is φ = 3853785600.

The previous prime is 14369782283. The next prime is 14369782313. The reversal of 14369782284 is 48228796341.

Its product of digits (4644864) is a multiple of the sum of its prime divisors (896).

It is a self number, because there is not a number n which added to its sum of digits gives 14369782284.

It is not an unprimeable number, because it can be changed into a prime (14369782283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20267322 + ... + 20268030.

Almost surely, 214369782284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14369782284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22229975040).

14369782284 is an abundant number, since it is smaller than the sum of its proper divisors (30090167796).

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

14369782284 is a wasteful number, since it uses less digits than its factorization.

14369782284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 896 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 14369782284 in words is "fourteen billion, three hundred sixty-nine million, seven hundred eighty-two thousand, two hundred eighty-four".