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10042404322041 = 3271312261787939
BaseRepresentation
bin1001001000100010110111…
…1100010011101011111001
31022120001012102110000010100
42102020231330103223321
52304013321001301131
633205230012510013
72054353066212330
oct222105574235371
938501172400110
1010042404322041
113221a61486873
121162350a7b309
1357acc137aa40
1426a0aab62d17
1512635ca567e6
hex9222df13af9

10042404322041 has 24 divisors (see below), whose sum is σ = 17853163240640. Its totient is φ = 5297092389216.

The previous prime is 10042404322019. The next prime is 10042404322057. The reversal of 10042404322041 is 14022340424001.

10042404322041 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 24 + 0 + 432 + 204 + 1 = 666.

It is not a de Polignac number, because 10042404322041 - 26 = 10042404321977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10042404321996 and 10042404322014.

It is not an unprimeable number, because it can be changed into a prime (10042404322001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6130893151 + ... + 6130894788.

Almost surely, 210042404322041 is an apocalyptic number.

It is an amenable number.

10042404322041 is a deficient number, since it is larger than the sum of its proper divisors (7810758918599).

10042404322041 is a wasteful number, since it uses less digits than its factorization.

10042404322041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12261787965 (or 12261787962 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10042404322041 its reverse (14022340424001), we get a palindrome (24064744746042).

The spelling of 10042404322041 in words is "ten trillion, forty-two billion, four hundred four million, three hundred twenty-two thousand, forty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 12261787939 36785363817 85832515573 110356091451 159403243207 257497546719 478209729621 772492640157 1115822702449 1434629188863 3347468107347 10042404322041