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10144140431 = 173176193041
BaseRepresentation
bin10010111001010001…
…10100110010001111
3222011221222201121212
421130220310302033
5131233344443211
64354332045035
7506244525305
oct113450646217
928157881555
1010144140431
114336114937
121b7130377b
13c58817279
146c3364275
153e588138b
hex25ca34c8f

10144140431 has 16 divisors (see below), whose sum is σ = 10795692960. Its totient is φ = 9498808320.

The previous prime is 10144140403. The next prime is 10144140443. The reversal of 10144140431 is 13404144101.

10144140431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10144140431 - 226 = 10077031567 is a prime.

It is a super-2 number, since 2×101441404312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10144140397 and 10144140406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144140931) 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, 3334271 + ... + 3337311.

It is an arithmetic number, because the mean of its divisors is an integer number (674730810).

Almost surely, 210144140431 is an apocalyptic number.

10144140431 is a deficient number, since it is larger than the sum of its proper divisors (651552529).

10144140431 is a wasteful number, since it uses less digits than its factorization.

10144140431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10144140431 its reverse (13404144101), we get a palindrome (23548284532).

The spelling of 10144140431 in words is "ten billion, one hundred forty-four million, one hundred forty thousand, four hundred thirty-one".

Divisors: 1 17 317 619 3041 5389 10523 51697 196223 963997 1882379 3335791 16387949 32000443 596714143 10144140431