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2141145837 = 32307977267
BaseRepresentation
bin111111110011111…
…0100101011101101
312112012221110220200
41333213310223231
513341113131322
6552244104113
7104026303455
oct17747645355
95465843820
102141145837
119a9691616
124b9095039
132817960cc
1416451ad65
15c7e938ac
hex7f9f4aed

2141145837 has 12 divisors (see below), whose sum is σ = 3093810720. Its totient is φ = 1426948488.

The previous prime is 2141145823. The next prime is 2141145847. The reversal of 2141145837 is 7385411412.

2141145837 is a `hidden beast` number, since 21 + 41 + 14 + 583 + 7 = 666.

It is not a de Polignac number, because 2141145837 - 27 = 2141145709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141145847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10923 + ... + 66344.

It is an arithmetic number, because the mean of its divisors is an integer number (257817560).

Almost surely, 22141145837 is an apocalyptic number.

It is an amenable number.

2141145837 is a deficient number, since it is larger than the sum of its proper divisors (952664883).

2141145837 is a wasteful number, since it uses less digits than its factorization.

2141145837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80352 (or 80349 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 2141145837 is about 46272.5170808764. The cubic root of 2141145837 is about 1288.8887003933. Note that the first 3 decimals are identical.

The spelling of 2141145837 in words is "two billion, one hundred forty-one million, one hundred forty-five thousand, eight hundred thirty-seven".

Divisors: 1 3 9 3079 9237 27711 77267 231801 695403 237905093 713715279 2141145837