Search a number
-
+
2212404410142 = 232293658163743
BaseRepresentation
bin100000001100011101100…
…101000011011100011110
321211111121021012212020100
4200030131211003130132
5242222001012111032
64412210424401530
7315561305126103
oct40143545033436
97744537185210
102212404410142
11783303680a13
122b89419162a6
13130823741ab4
147911c180aaa
153c83a45797c
hex2031d94371e

2212404410142 has 48 divisors (see below), whose sum is σ = 4810709449728. Its totient is φ = 734827974720.

The previous prime is 2212404410137. The next prime is 2212404410149. The reversal of 2212404410142 is 2410144042122.

2212404410142 is a `hidden beast` number, since 2 + 2 + 1 + 240 + 4 + 410 + 1 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212404410149) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 34676323 + ... + 34740065.

It is an arithmetic number, because the mean of its divisors is an integer number (100223113536).

Almost surely, 22212404410142 is an apocalyptic number.

2212404410142 is an abundant number, since it is smaller than the sum of its proper divisors (2598305039586).

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

2212404410142 is a wasteful number, since it uses less digits than its factorization.

2212404410142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70625 (or 70622 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2212404410142 its reverse (2410144042122), we get a palindrome (4622548452264).

The spelling of 2212404410142 in words is "two trillion, two hundred twelve billion, four hundred four million, four hundred ten thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 293 586 879 1758 2637 5274 6581 13162 19743 39486 59229 63743 118458 127486 191229 382458 573687 1147374 1928233 3856466 5784699 11569398 17354097 18676699 34708194 37353398 56030097 112060194 168090291 336180582 419492683 838985366 1258478049 2516956098 3775434147 7550868294 122911356119 245822712238 368734068357 737468136714 1106202205071 2212404410142