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41220000417 = 321136502603
BaseRepresentation
bin100110011000111001…
…110100101010100001
310221101200200222110010
4212120321310222201
51133404310003132
630534115355133
72656320136221
oct463071645241
9127350628403
1041220000417
1116532685452
127ba45b2aa9
133b6ba5a3bb
141dd0626081
151113b736cc
hex998e74aa1

41220000417 has 8 divisors (see below), whose sum is σ = 54986019424. Its totient is φ = 27466990848.

The previous prime is 41220000407. The next prime is 41220000449. The reversal of 41220000417 is 71400002214.

It is a happy number.

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

It is not a de Polignac number, because 41220000417 - 223 = 41211611809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41220000393 and 41220000402.

It is not an unprimeable number, because it can be changed into a prime (41220000407) by changing a digit.

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, 3244963 + ... + 3257640.

It is an arithmetic number, because the mean of its divisors is an integer number (6873252428).

Almost surely, 241220000417 is an apocalyptic number.

It is an amenable number.

41220000417 is a deficient number, since it is larger than the sum of its proper divisors (13766019007).

41220000417 is a wasteful number, since it uses less digits than its factorization.

41220000417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6504719.

The product of its (nonzero) digits is 448, while the sum is 21.

The spelling of 41220000417 in words is "forty-one billion, two hundred twenty million, four hundred seventeen", and thus it is an aban number.

Divisors: 1 3 2113 6339 6502603 19507809 13740000139 41220000417