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41001122399 = 533792041177
BaseRepresentation
bin100110001011110110…
…110111101001011111
310220211102211211020212
4212023312313221133
51132432241404044
630500300203035
72651021534666
oct461366675137
9126742754225
1041001122399
1116430079126
127b4323947b
133b355c3593
141dad52bddd
1510ee83aa9e
hex98bdb7a5f

41001122399 has 8 divisors (see below), whose sum is σ = 41884972560. Its totient is φ = 40121355456.

The previous prime is 41001122369. The next prime is 41001122413. The reversal of 41001122399 is 99322110014.

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 41001122399 - 220 = 41000073823 is a prime.

It is a super-3 number, since 3×410011223993 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41001122329) 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 7 ways as a sum of consecutive naturals, for example, 1000502 + ... + 1040675.

It is an arithmetic number, because the mean of its divisors is an integer number (5235621570).

Almost surely, 241001122399 is an apocalyptic number.

41001122399 is a deficient number, since it is larger than the sum of its proper divisors (883850161).

41001122399 is a wasteful number, since it uses less digits than its factorization.

41001122399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041609.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 41001122399 in words is "forty-one billion, one million, one hundred twenty-two thousand, three hundred ninety-nine".

Divisors: 1 53 379 20087 2041177 108182381 773606083 41001122399