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14014154280364 = 227172311316369497
BaseRepresentation
bin1100101111101110110010…
…1100000000110110101100
31211121201222111200220012121
43023323230230000312230
53314101441443432424
645450002534242324
72644326543634060
oct313735454006654
954551874626177
1014014154280364
114513407819a57
1216a4053ab63a4
137a86b5500084
14366408225aa0
15194818858ee4
hexcbeecb00dac

14014154280364 has 192 divisors, whose sum is σ = 31433502836736. Its totient is φ = 5326191230976.

The previous prime is 14014154280359. The next prime is 14014154280383. The reversal of 14014154280364 is 46308245141041.

It is a self number, because there is not a number n which added to its sum of digits gives 14014154280364.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201616464 + ... + 201685960.

It is an arithmetic number, because the mean of its divisors is an integer number (163716160608).

Almost surely, 214014154280364 is an apocalyptic number.

14014154280364 is a gapful number since it is divisible by the number (14) 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 14014154280364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15716751418368).

14014154280364 is an abundant number, since it is smaller than the sum of its proper divisors (17419348556372).

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

14014154280364 is a wasteful number, since it uses less digits than its factorization.

14014154280364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69824 (or 69822 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 14014154280364 in words is "fourteen trillion, fourteen billion, one hundred fifty-four million, two hundred eighty thousand, three hundred sixty-four".