Search a number
-
+
10442225415225 = 352678632407943
BaseRepresentation
bin1001011111110100010100…
…1000101111010000111001
31100222021012122100222002210
42113331011020233100321
52332041134201241400
634113031522245333
72125266036350202
oct227750510572071
940867178328083
1010442225415225
11336658302289a
1212079341b6849
135a990b908956
142815992745a9
1513195d8b0950
hex97f4522f439

10442225415225 has 48 divisors (see below), whose sum is σ = 17542469210112. Its totient is φ = 5479705450560.

The previous prime is 10442225415211. The next prime is 10442225415227. The reversal of 10442225415225 is 52251452224401.

It is not a de Polignac number, because 10442225415225 - 218 = 10442225153081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10442225415227) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3132604 + ... + 5540546.

It is an arithmetic number, because the mean of its divisors is an integer number (365468108544).

Almost surely, 210442225415225 is an apocalyptic number.

10442225415225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10442225415225 is a deficient number, since it is larger than the sum of its proper divisors (7100243794887).

10442225415225 is a wasteful number, since it uses less digits than its factorization.

10442225415225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408886 (or 2408881 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 39.

Adding to 10442225415225 its reverse (52251452224401), we get a palindrome (62693677639626).

The spelling of 10442225415225 in words is "ten trillion, four hundred forty-two billion, two hundred twenty-five million, four hundred fifteen thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 67 75 201 335 863 1005 1675 2589 4315 5025 12945 21575 57821 64725 173463 289105 867315 1445525 2407943 4336575 7223829 12039715 36119145 60198575 161332181 180595725 483996543 806660905 2078054809 2419982715 4033304525 6234164427 10390274045 12099913575 31170822135 51951370225 139229672203 155854110675 417689016609 696148361015 2088445083045 3480741805075 10442225415225