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14116447776 = 253201173121
BaseRepresentation
bin11010010010110011…
…11110011000100000
31100102210120211220010
431021121332120200
5212402302312101
610252432244520
71006550553264
oct151131763040
940383524803
1014116447776
115a94404172
12289b6a0740
13143c790ca2
1497cb4a0a4
155794862d6
hex34967e620

14116447776 has 48 divisors (see below), whose sum is σ = 37074608928. Its totient is φ = 4703078400.

The previous prime is 14116447771. The next prime is 14116447831. The reversal of 14116447776 is 67774461141.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14116447771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156496 + ... + 229616.

It is an arithmetic number, because the mean of its divisors is an integer number (772387686).

Almost surely, 214116447776 is an apocalyptic number.

14116447776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14116447776 is an abundant number, since it is smaller than the sum of its proper divisors (22958161152).

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

14116447776 is a wasteful number, since it uses less digits than its factorization.

14116447776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75145 (or 75137 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The spelling of 14116447776 in words is "fourteen billion, one hundred sixteen million, four hundred forty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2011 4022 6033 8044 12066 16088 24132 32176 48264 64352 73121 96528 146242 193056 219363 292484 438726 584968 877452 1169936 1754904 2339872 3509808 7019616 147046331 294092662 441138993 588185324 882277986 1176370648 1764555972 2352741296 3529111944 4705482592 7058223888 14116447776