Search a number
-
+
12428004051841 = 717315695920801
BaseRepresentation
bin1011010011011001111011…
…0001000100101110000001
31122000002211222012201000111
42310312132301010232001
53112110023014124331
642233202442151321
72421615345304360
oct264663661045601
948002758181014
1012428004051841
113a617613208a4
1214887694b2541
136c1c56a36cb1
1430d7390a77d7
151684330d0db1
hexb4d9ec44b81

12428004051841 has 32 divisors (see below), whose sum is σ = 15551341701120. Its totient is φ = 9685481472000.

The previous prime is 12428004051769. The next prime is 12428004051851. The reversal of 12428004051841 is 14815040082421.

It is a cyclic number.

It is not a de Polignac number, because 12428004051841 - 27 = 12428004051713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12428004051794 and 12428004051803.

It is not an unprimeable number, because it can be changed into a prime (12428004051851) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 861360 + ... + 5059441.

It is an arithmetic number, because the mean of its divisors is an integer number (485979428160).

Almost surely, 212428004051841 is an apocalyptic number.

It is an amenable number.

12428004051841 is a deficient number, since it is larger than the sum of its proper divisors (3123337649279).

12428004051841 is a wasteful number, since it uses less digits than its factorization.

12428004051841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921425.

The product of its (nonzero) digits is 81920, while the sum is 40.

The spelling of 12428004051841 in words is "twelve trillion, four hundred twenty-eight billion, four million, fifty-one thousand, eight hundred forty-one".

Divisors: 1 7 17 31 119 217 527 569 3689 3983 9673 17639 67711 123473 299863 2099041 5920801 41445607 100653617 183544831 704575319 1284813817 3120262127 3368935769 21841834889 23582550383 57271908073 104437008839 400903356511 731059061873 1775429150263 12428004051841