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10144441413 = 324743954629
BaseRepresentation
bin10010111001010011…
…11110010001000101
3222011222120000111100
421130221332101011
5131233434111123
64354342330313
7506250220641
oct113451762105
928158500440
1010144441413
1143362aaa87
121b71429999
13c588c1272
146c3401c21
153e58e0643
hex25ca7e445

10144441413 has 24 divisors (see below), whose sum is σ = 14999212800. Its totient is φ = 6603869664.

The previous prime is 10144441409. The next prime is 10144441421. The reversal of 10144441413 is 31414444101.

10144441413 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10144441413 - 22 = 10144441409 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10144441453) 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 23 ways as a sum of consecutive naturals, for example, 158383 + ... + 213011.

It is an arithmetic number, because the mean of its divisors is an integer number (624967200).

Almost surely, 210144441413 is an apocalyptic number.

It is an amenable number.

10144441413 is a deficient number, since it is larger than the sum of its proper divisors (4854771387).

10144441413 is a wasteful number, since it uses less digits than its factorization.

10144441413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55121 (or 55118 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10144441413 its reverse (31414444101), we get a palindrome (41558885514).

The spelling of 10144441413 in words is "ten billion, one hundred forty-four million, four hundred forty-one thousand, four hundred thirteen".

Divisors: 1 3 9 47 141 423 439 1317 3951 20633 54629 61899 163887 185697 491661 2567563 7702689 23108067 23982131 71946393 215839179 1127160157 3381480471 10144441413