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2142131432 = 23725464621
BaseRepresentation
bin111111110101110…
…0101010011101000
312112021210112220012
41333223211103220
513341341201212
6552321151052
7104040550100
oct17753452350
95467715805
102142131432
119aa1a5061
124b948b488
13281a4c8bc
141646d6200
15c80da922
hex7fae54e8

2142131432 has 24 divisors (see below), whose sum is σ = 4672251810. Its totient is φ = 918056160.

The previous prime is 2142131419. The next prime is 2142131443. The reversal of 2142131432 is 2341312412.

It can be written as a sum of positive squares in only one way, i.e., 1243690756 + 898440676 = 35266^2 + 29974^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2142131398 and 2142131407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2731919 + ... + 2732702.

Almost surely, 22142131432 is an apocalyptic number.

It is an amenable number.

2142131432 is an abundant number, since it is smaller than the sum of its proper divisors (2530120378).

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

2142131432 is a wasteful number, since it uses less digits than its factorization.

2142131432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5464641 (or 5464630 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 2142131432 is about 46283.1657517072. The cubic root of 2142131432 is about 1289.0864336773.

Adding to 2142131432 its reverse (2341312412), we get a palindrome (4483443844).

The spelling of 2142131432 in words is "two billion, one hundred forty-two million, one hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 5464621 10929242 21858484 38252347 43716968 76504694 153009388 267766429 306018776 535532858 1071065716 2142131432