Search a number
-
+
10442214135332 = 227372936219119
BaseRepresentation
bin1001011111110100010001…
…1101101101011000100100
31100222021011212010212222222
42113331010131231120210
52332041123304312312
634113030440411512
72125265541440210
oct227750435553044
940867155125888
1010442214135332
113366577719071
121207930476b98
135a9909489665
14281597979940
1513195c8d3672
hex97f4476d624

10442214135332 has 12 divisors (see below), whose sum is σ = 20884428270720. Its totient is φ = 4475234629416.

The previous prime is 10442214135317. The next prime is 10442214135361. The reversal of 10442214135332 is 23353141224401.

10442214135332 is an admirable number.

It is a junction number, because it is equal to n+sod(n) for n = 10442214135292 and 10442214135301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 186468109532 + ... + 186468109587.

It is an arithmetic number, because the mean of its divisors is an integer number (1740369022560).

Almost surely, 210442214135332 is an apocalyptic number.

It is an amenable number.

10442214135332 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10442214135332 is a wasteful number, since it uses less digits than its factorization.

10442214135332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372936219130 (or 372936219128 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 10442214135332 its reverse (23353141224401), we get a palindrome (33795355359733).

The spelling of 10442214135332 in words is "ten trillion, four hundred forty-two billion, two hundred fourteen million, one hundred thirty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 372936219119 745872438238 1491744876476 2610553533833 5221107067666 10442214135332