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4102014085 = 51331297677
BaseRepresentation
bin1111010001111111…
…1100010010000101
3101120212122220110121
43310133330102011
531400103422320
61515012221541
7203436354511
oct36437742205
911525586417
104102014085
111815530994
1296590a8b1
13504abbb90
142acb0b141
151901c68aa
hexf47fc485

4102014085 has 48 divisors (see below), whose sum is σ = 5542226928. Its totient is φ = 2896957440.

The previous prime is 4102014073. The next prime is 4102014089. The reversal of 4102014085 is 5804102014.

It can be written as a sum of positive squares in 8 ways, for example, as 15992001 + 4086022084 = 3999^2 + 63922^2 .

It is not a de Polignac number, because 4102014085 - 25 = 4102014053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102014089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6058767 + ... + 6059443.

It is an arithmetic number, because the mean of its divisors is an integer number (115463061).

Almost surely, 24102014085 is an apocalyptic number.

It is an amenable number.

4102014085 is a deficient number, since it is larger than the sum of its proper divisors (1440212843).

4102014085 is a wasteful number, since it uses less digits than its factorization.

4102014085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 4102014085 is about 64046.9678048852. The cubic root of 4102014085 is about 1600.7827010339.

Adding to 4102014085 its reverse (5804102014), we get a palindrome (9906116099).

The spelling of 4102014085 in words is "four billion, one hundred two million, fourteen thousand, eighty-five".

Divisors: 1 5 13 31 65 97 155 403 485 677 961 1261 2015 3007 3385 4805 6305 8801 12493 15035 20987 39091 44005 62465 65669 93217 104935 195455 272831 328345 466085 650597 853697 1211821 1364155 2035739 3252985 4268485 6059105 8457761 10178695 26464607 42288805 63107909 132323035 315539545 820402817 4102014085