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41132314431 = 3413231698349
BaseRepresentation
bin100110010011101011…
…010100111100111111
310221011120201001220000
4212103223110330333
51133214333030211
630521304125343
72654203622025
oct462353247477
9127146631800
1041132314431
111649813469a
127b7b166853
133b568387c0
141dc2b1c715
15110b102656
hex993ad4f3f

41132314431 has 40 divisors (see below), whose sum is σ = 69048117600. Its totient is φ = 24211649088.

The previous prime is 41132314427. The next prime is 41132314501. The reversal of 41132314431 is 13441323114.

It is not a de Polignac number, because 41132314431 - 22 = 41132314427 is a prime.

It is a super-2 number, since 2×411323144312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41132314395 and 41132314404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41132314411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 824956 + ... + 873393.

It is an arithmetic number, because the mean of its divisors is an integer number (1726202940).

Almost surely, 241132314431 is an apocalyptic number.

41132314431 is a deficient number, since it is larger than the sum of its proper divisors (27915803169).

41132314431 is a wasteful number, since it uses less digits than its factorization.

41132314431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698397 (or 1698388 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 41132314431 its reverse (13441323114), we get a palindrome (54573637545).

The spelling of 41132314431 in words is "forty-one billion, one hundred thirty-two million, three hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 9 13 23 27 39 69 81 117 207 299 351 621 897 1053 1863 2691 8073 24219 1698349 5095047 15285141 22078537 39062027 45855423 66235611 117186081 137566269 198706833 351558243 507806351 596120499 1054674729 1523419053 1788361497 3164024187 4570257159 13710771477 41132314431