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2414114142 = 231189410983
BaseRepresentation
bin1000111111100100…
…0111010101011110
320020020120201000220
42033321013111132
514421003123032
61035314502210
7113552426436
oct21771072536
96206521026
102414114142
111029782760
12574594966
132c61bb00b
1418c8952c6
15e1e1312c
hex8fe4755e

2414114142 has 32 divisors (see below), whose sum is σ = 5326352640. Its totient is φ = 723328320.

The previous prime is 2414114117. The next prime is 2414114159.

2414114142 is nontrivially palindromic in base 10.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 199618 + ... + 211365.

It is an arithmetic number, because the mean of its divisors is an integer number (166448520).

Almost surely, 22414114142 is an apocalyptic number.

2414114142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2414114142 is an abundant number, since it is smaller than the sum of its proper divisors (2912238498).

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

2414114142 is a wasteful number, since it uses less digits than its factorization.

2414114142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411088.

The product of its digits is 1024, while the sum is 24.

The square root of 2414114142 is about 49133.6355463342. The cubic root of 2414114142 is about 1341.4853474363.

It can be divided in two parts, 24141 and 14142, that added together give a palindrome (38283).

The spelling of 2414114142 in words is "two billion, four hundred fourteen million, one hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 89 178 267 534 979 1958 2937 5874 410983 821966 1232949 2465898 4520813 9041626 13562439 27124878 36577487 73154974 109732461 219464922 402352357 804704714 1207057071 2414114142