Search a number
-
+
10442422424401 = 113146166427201
BaseRepresentation
bin1001011111110101000011…
…1000010001001101010001
31100222021201101002001212221
42113331100320101031101
52332042040120040101
634113103241021041
72125303651040032
oct227752070211521
940867641061787
1010442422424401
1133666742527a0
12120798a184781
135a9940686826
142815b74b8a89
15131970d28aa1
hex97f50e11351

10442422424401 has 16 divisors (see below), whose sum is σ = 11784717052416. Its totient is φ = 9166953600000.

The previous prime is 10442422424363. The next prime is 10442422424431.

10442422424401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10442422424401 - 211 = 10442422422353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10442422424431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33056400 + ... + 33370801.

It is an arithmetic number, because the mean of its divisors is an integer number (736544815776).

Almost surely, 210442422424401 is an apocalyptic number.

10442422424401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10442422424401 is a deficient number, since it is larger than the sum of its proper divisors (1342294628015).

10442422424401 is a wasteful number, since it uses less digits than its factorization.

10442422424401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66427704.

The product of its (nonzero) digits is 65536, while the sum is 34.

It can be divided in two parts, 1044242 and 2424401, that added together give a palindrome (3468643).

The spelling of 10442422424401 in words is "ten trillion, four hundred forty-two billion, four hundred twenty-two million, four hundred twenty-four thousand, four hundred one".

Divisors: 1 11 31 341 461 5071 14291 157201 66427201 730699211 2059243231 22651675541 30622939661 336852336271 949311129491 10442422424401