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114064665705 = 3252534770349
BaseRepresentation
bin110101000111011001…
…0001010110001101001
3101220102100210101111100
41222032302022301221
53332101023300310
6124222305352013
711145425442534
oct1521662126151
9356370711440
10114064665705
1144413591671
121a134038609
13a9aa640143
145740d6ba1b
152e78d92ec0
hex1a8ec8ac69

114064665705 has 12 divisors (see below), whose sum is σ = 197712087300. Its totient is φ = 60834488352.

The previous prime is 114064665679. The next prime is 114064665727. The reversal of 114064665705 is 507566460411.

114064665705 is a `hidden beast` number, since 1 + 14 + 0 + 6 + 4 + 66 + 570 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42986972889 + 71077692816 = 207333^2 + 266604^2 .

It is not a de Polignac number, because 114064665705 - 26 = 114064665641 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2534770349 = 114064665705 / (1 + 1 + 4 + 0 + 6 + 4 + 6 + 6 + 5 + 7 + 0 + 5).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1267385130 + ... + 1267385219.

It is an arithmetic number, because the mean of its divisors is an integer number (16476007275).

Almost surely, 2114064665705 is an apocalyptic number.

114064665705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114064665705 is a deficient number, since it is larger than the sum of its proper divisors (83647421595).

114064665705 is a wasteful number, since it uses less digits than its factorization.

114064665705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534770360 (or 2534770357 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 114064665705 in words is "one hundred fourteen billion, sixty-four million, six hundred sixty-five thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 2534770349 7604311047 12673851745 22812933141 38021555235 114064665705