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41600041412 = 2261281606733
BaseRepresentation
bin100110101111100011…
…100100000111000100
310222101011211001200112
4212233203210013010
51140144102311122
631035533132152
73001613342366
oct465743440704
9128334731615
1041600041412
1116708158916
12808b92a058
133bcc701127
142028cb2d36
1511371e32e2
hex9af8e41c4

41600041412 has 24 divisors (see below), whose sum is σ = 74256960792. Its totient is φ = 20386195200.

The previous prime is 41600041393. The next prime is 41600041421. The reversal of 41600041412 is 21414000614.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2832794176 + 38767247236 = 53224^2 + 196894^2 .

It is a super-3 number, since 3×416000414123 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 234803 + ... + 371930.

It is an arithmetic number, because the mean of its divisors is an integer number (3094040033).

Almost surely, 241600041412 is an apocalyptic number.

It is an amenable number.

41600041412 is a deficient number, since it is larger than the sum of its proper divisors (32656919380).

41600041412 is a wasteful number, since it uses less digits than its factorization.

41600041412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607079 (or 607077 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The spelling of 41600041412 in words is "forty-one billion, six hundred million, forty-one thousand, four hundred twelve".

Divisors: 1 2 4 61 122 244 281 562 1124 17141 34282 68564 606733 1213466 2426932 37010713 74021426 148042852 170491973 340983946 681967892 10400010353 20800020706 41600041412