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4013140114241 = 41531846820117
BaseRepresentation
bin111010011001100001110…
…010100111101101000001
3112012122121122010122222222
4322121201302213231001
51011222402332123431
612311340000140425
7562640232065066
oct72314162475501
915178548118888
104013140114241
111307a65a76a15
12549934607715
1323158c21776b
14dc34653cc6d
156e5ce88757b
hex3a661ca7b41

4013140114241 has 8 divisors (see below), whose sum is σ = 4188588027624. Its totient is φ = 3841385841280.

The previous prime is 4013140114223. The next prime is 4013140114297. The reversal of 4013140114241 is 1424110413104.

It is a happy number.

4013140114241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 367331754241 + 3645808360000 = 606079^2 + 1909400^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4013140114241 - 218 = 4013139852097 is a prime.

It is a super-2 number, since 2×40131401142412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4013140114241.

It is not an unprimeable number, because it can be changed into a prime (4013140116241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 923407886 + ... + 923412231.

It is an arithmetic number, because the mean of its divisors is an integer number (523573503453).

Almost surely, 24013140114241 is an apocalyptic number.

4013140114241 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4013140114241 is a deficient number, since it is larger than the sum of its proper divisors (175447913383).

4013140114241 is a wasteful number, since it uses less digits than its factorization.

4013140114241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846820211.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 4013140114241 its reverse (1424110413104), we get a palindrome (5437250527345).

The spelling of 4013140114241 in words is "four trillion, thirteen billion, one hundred forty million, one hundred fourteen thousand, two hundred forty-one".

Divisors: 1 41 53 2173 1846820117 75719624797 97881466201 4013140114241