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114746085141 = 3192131994427
BaseRepresentation
bin110101011011101100…
…1100100111100010101
3101222011212000002020020
41222313121210330111
53334444444211031
6124414050455353
711201341426242
oct1526731447425
9358155002206
10114746085141
11447331a0126
121a2a4294559
13aa888751cc
1457a766a5c9
152eb8ae5096
hex1ab7664f15

114746085141 has 16 divisors (see below), whose sum is σ = 161056396800. Its totient is φ = 72467044848.

The previous prime is 114746085131. The next prime is 114746085161. The reversal of 114746085141 is 141580647411.

It is a happy number.

It is not a de Polignac number, because 114746085141 - 25 = 114746085109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114746085093 and 114746085102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114746085131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167970 + ... + 1262396.

It is an arithmetic number, because the mean of its divisors is an integer number (10066024800).

Almost surely, 2114746085141 is an apocalyptic number.

It is an amenable number.

114746085141 is a deficient number, since it is larger than the sum of its proper divisors (46310311659).

114746085141 is a wasteful number, since it uses less digits than its factorization.

114746085141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115768.

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 114746085141 in words is "one hundred fourteen billion, seven hundred forty-six million, eighty-five thousand, one hundred forty-one".

Divisors: 1 3 19 57 21319 63957 94427 283281 405061 1215183 1794113 5382339 2013089213 6039267639 38248695047 114746085141