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41411434131 = 3221165933091
BaseRepresentation
bin100110100100010100…
…000101011010010011
310221220000220211010200
4212210110011122103
51134302311343011
631005114430243
72664133245054
oct464424053223
9127800824120
1041411434131
1116620747431
128038732383
133b9c6055a2
14200bc1872b
151125889856
hex9a4505693

41411434131 has 24 divisors (see below), whose sum is σ = 60193024320. Its totient is φ = 27434257200.

The previous prime is 41411434093. The next prime is 41411434201. The reversal of 41411434131 is 13143411414.

41411434131 is a `hidden beast` number, since 414 + 114 + 3 + 4 + 131 = 666.

It is not a de Polignac number, because 41411434131 - 29 = 41411433619 is a prime.

It is a super-2 number, since 2×414114341312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41411434095 and 41411434104.

It is not an unprimeable number, because it can be changed into a prime (41411434931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1234896 + ... + 1267986.

It is an arithmetic number, because the mean of its divisors is an integer number (2508042680).

Almost surely, 241411434131 is an apocalyptic number.

41411434131 is a deficient number, since it is larger than the sum of its proper divisors (18781590189).

41411434131 is a wasteful number, since it uses less digits than its factorization.

41411434131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33967 (or 33964 counting only the distinct ones).

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

Adding to 41411434131 its reverse (13143411414), we get a palindrome (54554845545).

The spelling of 41411434131 in words is "forty-one billion, four hundred eleven million, four hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 211 633 659 1899 1977 5931 33091 99273 139049 297819 417147 1251441 6982201 20946603 21806969 62839809 65420907 196262721 4601270459 13803811377 41411434131