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41410004450417 = 1952123891751047
BaseRepresentation
bin10010110101001100001001…
…00110101111110001110001
312102121202110102001112201222
421122212010212233301301
520411430142114403132
6224023254325034425
711502526341112511
oct1132460446576161
9172552412045658
1041410004450417
111221597aa56aa9
124789652855a15
131a14c3ca89685
14a3237d685841
154bc281318412
hex25a9849afc71

41410004450417 has 16 divisors (see below), whose sum is σ = 43691449276800. Its totient is φ = 39138819857280.

The previous prime is 41410004450387. The next prime is 41410004450431. The reversal of 41410004450417 is 71405440001414.

41410004450417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 41410004450417 - 210 = 41410004449393 is a prime.

It is a super-2 number, since 2×414100044504172 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41410004450447) 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 15 ways as a sum of consecutive naturals, for example, 22773188 + ... + 24524234.

It is an arithmetic number, because the mean of its divisors is an integer number (2730715579800).

Almost surely, 241410004450417 is an apocalyptic number.

It is an amenable number.

41410004450417 is a deficient number, since it is larger than the sum of its proper divisors (2281444826383).

41410004450417 is a wasteful number, since it uses less digits than its factorization.

41410004450417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753976.

The product of its (nonzero) digits is 35840, while the sum is 35.

The spelling of 41410004450417 in words is "forty-one trillion, four hundred ten billion, four million, four hundred fifty thousand, four hundred seventeen".

Divisors: 1 19 521 2389 9899 45391 1244669 1751047 23648711 33269893 912295487 4183251283 17333614253 79481774377 2179473918443 41410004450417