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11395441431 = 3211838913721
BaseRepresentation
bin10101001110011100…
…01010001100010111
31002102011112101220100
422213032022030113
5141314213111211
65122431505143
7552250440213
oct124716121427
932364471810
1011395441431
11491847a8a0
1222603881b3
1310c7b3106a
147a1609943
1546a652156
hex2a738a317

11395441431 has 24 divisors (see below), whose sum is σ = 17959902480. Its totient is φ = 6905001600.

The previous prime is 11395441399. The next prime is 11395441439. The reversal of 11395441431 is 13414459311.

It is a happy number.

11395441431 is a `hidden beast` number, since 1 + 139 + 54 + 41 + 431 = 666.

11395441431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11395441431 - 25 = 11395441399 is a prime.

It is a super-2 number, since 2×113954414312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11395441439) 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, 823651 + ... + 837371.

It is an arithmetic number, because the mean of its divisors is an integer number (748329270).

Almost surely, 211395441431 is an apocalyptic number.

11395441431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11395441431 is a deficient number, since it is larger than the sum of its proper divisors (6564461049).

11395441431 is a wasteful number, since it uses less digits than its factorization.

11395441431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22127 (or 22124 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 11395441431 in words is "eleven billion, three hundred ninety-five million, four hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 8389 13721 25167 41163 75501 92279 123489 150931 276837 452793 830511 1358379 115105469 345316407 1035949221 1266160159 3798480477 11395441431