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41141413431 = 3317194717511
BaseRepresentation
bin100110010100001110…
…000010011000110111
310221012012211100101000
4212110032002120313
51133224200212211
630522231134343
72654344146516
oct462416023067
9127165740330
1041141413431
11164a2289928
127b822143b3
133b586a3221
141dc400a67d
15110bced656
hex994382637

41141413431 has 32 divisors (see below), whose sum is σ = 67932172800. Its totient is φ = 24455571840.

The previous prime is 41141413403. The next prime is 41141413457. The reversal of 41141413431 is 13431414114.

It is not a de Polignac number, because 41141413431 - 27 = 41141413303 is a prime.

It is a super-2 number, since 2×411414134312 (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 = 41141413395 and 41141413404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41141403431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2350035 + ... + 2367476.

It is an arithmetic number, because the mean of its divisors is an integer number (2122880400).

Almost surely, 241141413431 is an apocalyptic number.

41141413431 is a deficient number, since it is larger than the sum of its proper divisors (26790759369).

41141413431 is a wasteful number, since it uses less digits than its factorization.

41141413431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4717556 (or 4717550 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 41141413431 its reverse (13431414114), we get a palindrome (54572827545).

The spelling of 41141413431 in words is "forty-one billion, one hundred forty-one million, four hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 3 9 17 19 27 51 57 153 171 323 459 513 969 2907 8721 4717511 14152533 42457599 80197687 89632709 127372797 240593061 268898127 721779183 806694381 1523756053 2165337549 2420083143 4571268159 13713804477 41141413431