Search a number
-
+
1022442303344 = 247211832415927
BaseRepresentation
bin11101110000011100100…
…11110110111101110000
310121202002202120120002012
432320032103312331300
5113222430212201334
62101411542542052
7133604034116600
oct16701623667560
93552082516065
101022442303344
11364685030630
121461a5a37928
1375553951187
14376b4c40c00
151b8e1b129ce
hexee0e4f6f70

1022442303344 has 240 divisors, whose sum is σ = 2555174958336. Its totient is φ = 391855564800.

The previous prime is 1022442303341. The next prime is 1022442303353. The reversal of 1022442303344 is 4433032442201.

It is a super-2 number, since 2×10224423033442 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1022442303344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022442303341) 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, 172502909 + ... + 172508835.

Almost surely, 21022442303344 is an apocalyptic number.

1022442303344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022442303344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277587479168).

1022442303344 is an abundant number, since it is smaller than the sum of its proper divisors (1532732654992).

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

1022442303344 is a wasteful number, since it uses less digits than its factorization.

1022442303344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284 (or 6271 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 1022442303344 its reverse (4433032442201), we get a palindrome (5455474745545).

The spelling of 1022442303344 in words is "one trillion, twenty-two billion, four hundred forty-two million, three hundred three thousand, three hundred forty-four".