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1022340421344 = 253117114939133
BaseRepresentation
bin11101110000010000011…
…11001101011011100000
310121201211122212102020210
432320020033031123200
5113222223121440334
62101353503134120
7133601356125534
oct16701017153340
93551748772223
101022340421344
11364632574130
121461778a4340
13755387cbb78
14376a54bdbc4
151b8d7bda5e9
hexee083cd6e0

1022340421344 has 192 divisors, whose sum is σ = 2971158962688. Its totient is φ = 305198745600.

The previous prime is 1022340421321. The next prime is 1022340421367. The reversal of 1022340421344 is 4431240432201.

It is an interprime number because it is at equal distance from previous prime (1022340421321) and next prime (1022340421367).

It is a super-2 number, since 2×10223404213442 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111934602 + ... + 111943734.

It is an arithmetic number, because the mean of its divisors is an integer number (15474786264).

Almost surely, 21022340421344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022340421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485579481344).

1022340421344 is an abundant number, since it is smaller than the sum of its proper divisors (1948818541344).

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

1022340421344 is a wasteful number, since it uses less digits than its factorization.

1022340421344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10721 (or 10713 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1022340421344 its reverse (4431240432201), we get a palindrome (5453580853545).

The spelling of 1022340421344 in words is "one trillion, twenty-two billion, three hundred forty million, four hundred twenty-one thousand, three hundred forty-four".