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2418008142 = 231179463753
BaseRepresentation
bin1001000000011111…
…1110000001001110
320020111220112121010
42100013332001032
514423002230032
61035534150050
7113630505264
oct22007760116
96214815533
102418008142
1110309a2340
12575952326
132c6c52564
1418d1ca434
15e2431ccc
hex901fe04e

2418008142 has 32 divisors (see below), whose sum is σ = 5342446080. Its totient is φ = 723453120.

The previous prime is 2418008111. The next prime is 2418008161.

2418008142 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×24180081423 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226663 + ... + 237090.

It is an arithmetic number, because the mean of its divisors is an integer number (166951440).

Almost surely, 22418008142 is an apocalyptic number.

2418008142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2418008142 is an abundant number, since it is smaller than the sum of its proper divisors (2924437938).

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

2418008142 is a wasteful number, since it uses less digits than its factorization.

2418008142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463848.

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2418008142 is about 49173.2462015678. The cubic root of 2418008142 is about 1342.2062382051.

It can be divided in two parts, 241800 and 8142, that added together give a palindrome (249942).

The spelling of 2418008142 in words is "two billion, four hundred eighteen million, eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 474 869 1738 2607 5214 463753 927506 1391259 2782518 5101283 10202566 15303849 30607698 36636487 73272974 109909461 219818922 403001357 806002714 1209004071 2418008142