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40241032129 = 1710921716693
BaseRepresentation
bin100101011110100011…
…010110101111000001
310211212110121020102101
4211132203112233001
51124403201012004
630253024550401
72623132062244
oct453643265701
9124773536371
1040241032129
1116080017051
127970782401
133a43ca511c
141d3a5d125b
1510a7c48ba4
hex95e8d6bc1

40241032129 has 8 divisors (see below), whose sum is σ = 42999054120. Its totient is φ = 37526443776.

The previous prime is 40241032043. The next prime is 40241032189. The reversal of 40241032129 is 92123014204.

It can be written as a sum of positive squares in 4 ways, for example, as 25720782129 + 14520250000 = 160377^2 + 120500^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 40241032129 - 215 = 40240999361 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40241032097 and 40241032106.

It is not an unprimeable number, because it can be changed into a prime (40241032189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10856494 + ... + 10860199.

It is an arithmetic number, because the mean of its divisors is an integer number (5374881765).

Almost surely, 240241032129 is an apocalyptic number.

It is an amenable number.

40241032129 is a deficient number, since it is larger than the sum of its proper divisors (2758021991).

40241032129 is a wasteful number, since it uses less digits than its factorization.

40241032129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21716819.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 40241032129 in words is "forty billion, two hundred forty-one million, thirty-two thousand, one hundred twenty-nine".

Divisors: 1 17 109 1853 21716693 369183781 2367119537 40241032129