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14133540816 = 243298149589
BaseRepresentation
bin11010010100110110…
…01011011111010000
31100110222202021010200
431022123023133100
5212421141301231
610254242455200
71010146054233
oct151233133720
940428667120
1014133540816
115aa301944a
1228a5364500
131443197205
1498111941a
1557ac10be6
hex34a6cb7d0

14133540816 has 30 divisors (see below), whose sum is σ = 39554284770. Its totient is φ = 4711180224.

The previous prime is 14133540809. The next prime is 14133540853. The reversal of 14133540816 is 61804533141.

14133540816 is a `hidden beast` number, since 1 + 4 + 1 + 33 + 540 + 81 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11514148416 + 2619392400 = 107304^2 + 51180^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 49074651 + ... + 49074938.

It is an arithmetic number, because the mean of its divisors is an integer number (1318476159).

Almost surely, 214133540816 is an apocalyptic number.

14133540816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14133540816 is an abundant number, since it is smaller than the sum of its proper divisors (25420743954).

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

14133540816 is a wasteful number, since it uses less digits than its factorization.

14133540816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98149603 (or 98149594 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 14133540816 in words is "fourteen billion, one hundred thirty-three million, five hundred forty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 98149589 196299178 294448767 392598356 588897534 785196712 883346301 1177795068 1570393424 1766692602 2355590136 3533385204 4711180272 7066770408 14133540816