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41332114431 = 337731980361
BaseRepresentation
bin100110011111100101…
…100000001111111111
310221200111122221222000
4212133211200033333
51134122010130211
630553202353343
72662151114226
oct463745401777
9127614587860
1041332114431
111658a9a0363
12801605b853
133b89052a5a
14200148bcbd
15111d91c656
hex99f9603ff

41332114431 has 16 divisors (see below), whose sum is σ = 61312007520. Its totient is φ = 27519082560.

The previous prime is 41332114357. The next prime is 41332114451. The reversal of 41332114431 is 13441123314.

41332114431 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 211 + 443 + 1 = 666.

It is not a de Polignac number, because 41332114431 - 211 = 41332112383 is a prime.

It is a super-2 number, since 2×413321144312 (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 = 41332114395 and 41332114404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41332114451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 969310 + ... + 1011051.

It is an arithmetic number, because the mean of its divisors is an integer number (3832000470).

Almost surely, 241332114431 is an apocalyptic number.

41332114431 is a deficient number, since it is larger than the sum of its proper divisors (19979893089).

41332114431 is a wasteful number, since it uses less digits than its factorization.

41332114431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981143 (or 1981137 counting only the distinct ones).

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

Adding to 41332114431 its reverse (13441123314), we get a palindrome (54773237745).

The spelling of 41332114431 in words is "forty-one billion, three hundred thirty-two million, one hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 3 9 27 773 2319 6957 20871 1980361 5941083 17823249 53469747 1530819053 4592457159 13777371477 41332114431