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224142141241422 = 23262099200524021
BaseRepresentation
bin110010111101101100101000…
…101101010011100001001110
31002101121210001012121110221100
4302331230220231103201032
5213334321101124211142
62112413251141443530
765132510132064315
oct6275545055234116
91071553035543840
10224142141241422
116546716a3a24a8
12211802b97105a6
13980b68972aa91
143d4c774d5327c
151ada6b8ab3b4c
hexcbdb28b5384e

224142141241422 has 24 divisors (see below), whose sum is σ = 485649128881800. Its totient is φ = 74712843563760.

The previous prime is 224142141241397. The next prime is 224142141241423.

224142141241422 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 4 + 214 + 1 + 2 + 414 + 22 = 666.

224142141241422 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224142141241423) 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, 99144229 + ... + 101379792.

It is an arithmetic number, because the mean of its divisors is an integer number (20235380370075).

Almost surely, 2224142141241422 is an apocalyptic number.

224142141241422 is an abundant number, since it is smaller than the sum of its proper divisors (261506987640378).

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

224142141241422 is a wasteful number, since it uses less digits than its factorization.

224142141241422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200586128 (or 200586125 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The spelling of 224142141241422 in words is "two hundred twenty-four trillion, one hundred forty-two billion, one hundred forty-one million, two hundred forty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 62099 124198 186297 372594 558891 1117782 200524021 401048042 601572063 1203144126 1804716189 3609432378 12452341180079 24904682360158 37357023540237 74714047080474 112071070620711 224142141241422