Search a number
-
+
2022431413344 = 25358771358459
BaseRepresentation
bin11101011011100010010…
…011100101010001100000
321011100020201111201021220
4131123202103211101200
5231113414420211334
64145031524015040
7266054510241426
oct35334223452140
97140221451256
102022431413344
1170a787898721
12287b64231480
131189398a6014
146dc59a51116
153791c427449
hex1d6e24e5460

2022431413344 has 48 divisors (see below), whose sum is σ = 5308987602240. Its totient is φ = 674130453120.

The previous prime is 2022431413333. The next prime is 2022431413367. The reversal of 2022431413344 is 4433141342202.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 5462787 + ... + 5821245.

It is an arithmetic number, because the mean of its divisors is an integer number (110603908380).

Almost surely, 22022431413344 is an apocalyptic number.

2022431413344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2022431413344 is an abundant number, since it is smaller than the sum of its proper divisors (3286556188896).

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

2022431413344 is a wasteful number, since it uses less digits than its factorization.

2022431413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417243 (or 417235 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 2022431413344 its reverse (4433141342202), we get a palindrome (6455572755546).

The spelling of 2022431413344 in words is "two trillion, twenty-two billion, four hundred thirty-one million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 58771 117542 176313 235084 352626 358459 470168 705252 716918 940336 1075377 1410504 1433836 1880672 2150754 2821008 2867672 4301508 5642016 5735344 8603016 11470688 17206032 34412064 21066993889 42133987778 63200981667 84267975556 126401963334 168535951112 252803926668 337071902224 505607853336 674143804448 1011215706672 2022431413344