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4141123407 = 33197778553
BaseRepresentation
bin1111011011010100…
…1000011101001111
3101200121020212101000
43312311020131033
531440111422112
61522530351343
7204422653041
oct36665103517
911617225330
104141123407
111835613343
12976a2b553
1350cc331a5
142b3daba91
1519384e7dc
hexf6d4874f

4141123407 has 16 divisors (see below), whose sum is σ = 6166147680. Its totient is φ = 2746731456.

The previous prime is 4141123387. The next prime is 4141123421. The reversal of 4141123407 is 7043211414.

4141123407 is a `hidden beast` number, since 414 + 11 + 234 + 0 + 7 = 666.

It is not a de Polignac number, because 4141123407 - 211 = 4141121359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141125407) 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 15 ways as a sum of consecutive naturals, for example, 383958 + ... + 394595.

It is an arithmetic number, because the mean of its divisors is an integer number (385384230).

Almost surely, 24141123407 is an apocalyptic number.

4141123407 is a deficient number, since it is larger than the sum of its proper divisors (2025024273).

4141123407 is a wasteful number, since it uses less digits than its factorization.

4141123407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778759 (or 778753 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4141123407 is about 64351.5610300170. The cubic root of 4141123407 is about 1605.8539991819.

The spelling of 4141123407 in words is "four billion, one hundred forty-one million, one hundred twenty-three thousand, four hundred seven".

Divisors: 1 3 9 27 197 591 1773 5319 778553 2335659 7006977 21020931 153374941 460124823 1380374469 4141123407