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10144404331 = 131431179671
BaseRepresentation
bin10010111001010011…
…10101001101101011
3222011222111010121221
421130221311031223
5131233431414311
64354341442511
7506250004555
oct113451651553
928158433557
1010144404331
114336285136
121b71410437
13c588aa419
146c33d24d5
153e58d4671
hex25ca7536b

10144404331 has 8 divisors (see below), whose sum is σ = 10245616128. Its totient is φ = 10043553000.

The previous prime is 10144404317. The next prime is 10144404343. The reversal of 10144404331 is 13340444101.

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 10144404331 - 227 = 10010186603 is a prime.

It is a super-2 number, since 2×101444043312 (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 = 10144404296 and 10144404305.

It is not an unprimeable number, because it can be changed into a prime (10144408331) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 33375 + ... + 146296.

It is an arithmetic number, because the mean of its divisors is an integer number (1280702016).

Almost surely, 210144404331 is an apocalyptic number.

10144404331 is a deficient number, since it is larger than the sum of its proper divisors (101211797).

10144404331 is a wasteful number, since it uses less digits than its factorization.

10144404331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180233.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10144404331 its reverse (13340444101), we get a palindrome (23484848432).

The spelling of 10144404331 in words is "ten billion, one hundred forty-four million, four hundred four thousand, three hundred thirty-one".

Divisors: 1 131 431 56461 179671 23536901 77438201 10144404331