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2163141432 = 233253095659
BaseRepresentation
bin1000000011101110…
…1110101100111000
312120202022222012100
42000323232230320
513412231011212
6554351343400
7104414253534
oct20073565470
95522288170
102163141432
11a100451a1
12504521b60
132861c795a
14167404bc4
15c9d8abdc
hex80eeeb38

2163141432 has 48 divisors (see below), whose sum is σ = 5860647000. Its totient is φ = 720783936.

The previous prime is 2163141403. The next prime is 2163141457. The reversal of 2163141432 is 2341413612.

It is a happy number.

2163141432 is a `hidden beast` number, since 21 + 631 + 4 + 1 + 4 + 3 + 2 = 666.

2163141432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2163141396 and 2163141405.

It is a congruent number.

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, 379419 + ... + 385077.

Almost surely, 22163141432 is an apocalyptic number.

It is an amenable number.

2163141432 is an abundant number, since it is smaller than the sum of its proper divisors (3697505568).

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

2163141432 is a wasteful number, since it uses less digits than its factorization.

2163141432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10980 (or 10973 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2163141432 is about 46509.5843025929. The cubic root of 2163141432 is about 1293.2871780626.

The spelling of 2163141432 in words is "two billion, one hundred sixty-three million, one hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 5309 5659 10618 11318 15927 16977 21236 22636 31854 33954 42472 45272 47781 50931 63708 67908 95562 101862 127416 135816 191124 203724 382248 407448 30043631 60087262 90130893 120174524 180261786 240349048 270392679 360523572 540785358 721047144 1081570716 2163141432