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4013442251 = 7133260969
BaseRepresentation
bin1110111100111000…
…0100010011001011
3101100200222222202022
43233032010103023
531204420123001
61502125555055
7201312460550
oct35716042313
911320888668
104013442251
11177a535625
12940115a8b
134bc64a000
142a1052a27
1518752d11b
hexef3844cb

4013442251 has 16 divisors (see below), whose sum is σ = 4968868800. Its totient is φ = 3175458624.

The previous prime is 4013442233. The next prime is 4013442313. The reversal of 4013442251 is 1522443104.

It is a de Polignac number, because none of the positive numbers 2k-4013442251 is a prime.

It is a super-2 number, since 2×40134422512 = 32215437404223894002, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4013442251.

It is not an unprimeable number, because it can be changed into a prime (4013445251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115106 + ... + 145863.

It is an arithmetic number, because the mean of its divisors is an integer number (310554300).

Almost surely, 24013442251 is an apocalyptic number.

4013442251 is a deficient number, since it is larger than the sum of its proper divisors (955426549).

4013442251 is an equidigital number, since it uses as much as digits as its factorization.

4013442251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261015 (or 260989 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4013442251 is about 63351.7343961474. The cubic root of 4013442251 is about 1589.1772507240.

Adding to 4013442251 its reverse (1522443104), we get a palindrome (5535885355).

The spelling of 4013442251 in words is "four billion, thirteen million, four hundred forty-two thousand, two hundred fifty-one".

Divisors: 1 7 13 91 169 1183 2197 15379 260969 1826783 3392597 23748179 44103761 308726327 573348893 4013442251