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2143434132 = 223278505691
BaseRepresentation
bin111111111000010…
…0011010110010100
312112101020201212100
41333300203112110
513342204343012
6552405122100
7104054614050
oct17760432624
95471221770
102143434132
119aaa04874
124b99b9330
132820b7828
14164954c60
15c82968dc
hex7fc23594

2143434132 has 36 divisors (see below), whose sum is σ = 6192143776. Its totient is φ = 612409680.

The previous prime is 2143434127. The next prime is 2143434133. The reversal of 2143434132 is 2314343412.

2143434132 is a `hidden beast` number, since 214 + 3 + 434 + 13 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2143434096 and 2143434105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143434133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4252594 + ... + 4253097.

Almost surely, 22143434132 is an apocalyptic number.

It is an amenable number.

2143434132 is an abundant number, since it is smaller than the sum of its proper divisors (4048709644).

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

2143434132 is a wasteful number, since it uses less digits than its factorization.

2143434132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8505708 (or 8505703 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2143434132 is about 46297.2367641958. The cubic root of 2143434132 is about 1289.3476925612.

Adding to 2143434132 its reverse (2314343412), we get a palindrome (4457777544).

The spelling of 2143434132 in words is "two billion, one hundred forty-three million, four hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 8505691 17011382 25517073 34022764 51034146 59539837 76551219 102068292 119079674 153102438 178619511 238159348 306204876 357239022 535858533 714478044 1071717066 2143434132