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4102413861 = 371319312823
BaseRepresentation
bin1111010010000101…
…1101111000100101
3101120220102012212010
43310201131320211
531400204220421
61515024544433
7203442641160
oct36441357045
911526365763
104102413861
111815784287
12965a82119
13504bcbb30
142acbb2ad7
15190255076
hexf485de25

4102413861 has 96 divisors (see below), whose sum is σ = 7331358720. Its totient is φ = 1981480320.

The previous prime is 4102413853. The next prime is 4102413877. The reversal of 4102413861 is 1683142014.

4102413861 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4102413861 - 23 = 4102413853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102413841) 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 95 ways as a sum of consecutive naturals, for example, 4984296 + ... + 4985118.

It is an arithmetic number, because the mean of its divisors is an integer number (76368320).

Almost surely, 24102413861 is an apocalyptic number.

It is an amenable number.

4102413861 is a deficient number, since it is larger than the sum of its proper divisors (3228944859).

4102413861 is a wasteful number, since it uses less digits than its factorization.

4102413861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4102413861 is about 64050.0886884632. The cubic root of 4102413861 is about 1600.8347026200.

Adding to 4102413861 its reverse (1683142014), we get a palindrome (5785555875).

The spelling of 4102413861 in words is "four billion, one hundred two million, four hundred thirteen thousand, eight hundred sixty-one".

Divisors: 1 3 7 13 19 21 31 39 57 91 93 133 217 247 273 399 403 589 651 741 823 961 1209 1729 1767 2469 2821 2883 4123 5187 5761 6727 7657 8463 10699 12369 12493 15637 17283 18259 20181 22971 25513 32097 37479 46911 53599 54777 74893 76539 87451 109459 127813 160797 178591 203281 224679 237367 262353 328377 331669 383439 484747 535773 609843 712101 790903 995007 1422967 1454241 1661569 2321683 2372709 3393229 4268901 4984707 5536321 6301711 6965049 10179687 10281739 15027157 16608963 18905133 30845217 44111977 45081471 71972173 105190099 132335931 195353041 215916519 315570297 586059123 1367471287 4102413861