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14013400733316 = 2232389261131481
BaseRepresentation
bin1100101111101011111111…
…0001011101011010000100
31211121200000222202201222200
43023322333301131122010
53314043421041431231
645445400055154500
72644302063612645
oct313727761353204
954550028681880
1014013400733316
1145130604269a6
1216a3a83675a30
137a85c5362c4a
1436637610d6cc
151947c260abe6
hexcbebfc5d684

14013400733316 has 18 divisors (see below), whose sum is σ = 35422762964862. Its totient is φ = 4671133577760.

The previous prime is 14013400733261. The next prime is 14013400733341. The reversal of 14013400733316 is 61333700431041.

14013400733316 is a `hidden beast` number, since 140 + 1 + 3 + 400 + 73 + 33 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12258051322500 + 1755349410816 = 3501150^2 + 1324896^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×140134007333162 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 389261131481 = 14013400733316 / (1 + 4 + 0 + 1 + 3 + 4 + 0 + 0 + 7 + 3 + 3 + 3 + 1 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 194630565705 + ... + 194630565776.

Almost surely, 214013400733316 is an apocalyptic number.

It is an amenable number.

14013400733316 is an abundant number, since it is smaller than the sum of its proper divisors (21409362231546).

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

14013400733316 is a wasteful number, since it uses less digits than its factorization.

14013400733316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389261131491 (or 389261131486 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 14013400733316 in words is "fourteen trillion, thirteen billion, four hundred million, seven hundred thirty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 389261131481 778522262962 1167783394443 1557044525924 2335566788886 3503350183329 4671133577772 7006700366658 14013400733316