Search a number
-
+
4022023210000 = 24543750321611
BaseRepresentation
bin111010100001110011010…
…000111100010000010000
3112020111112201020200112121
4322201303100330100100
51011344100420210000
612315405243504024
7563403325130335
oct72416320742020
915214481220477
104022023210000
111310804280274
1254b5b3528014
132323766b5c43
14dc94a20298c
156e94e670b1a
hex3a87343c410

4022023210000 has 200 divisors, whose sum is σ = 10021248224064. Its totient is φ = 1562143680000.

The previous prime is 4022023209991. The next prime is 4022023210019. The reversal of 4022023210000 is 123202204.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 186099195 + ... + 186120805.

Almost surely, 24022023210000 is an apocalyptic number.

4022023210000 is a gapful number since it is divisible by the number (40) 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 4022023210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010624112032).

4022023210000 is an abundant number, since it is smaller than the sum of its proper divisors (5999225014064).

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

4022023210000 is a wasteful number, since it uses less digits than its factorization.

4022023210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22179 (or 22158 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 4022023210000 its reverse (123202204), we get a palindrome (4022146412204).

The spelling of 4022023210000 in words is "four trillion, twenty-two billion, twenty-three million, two hundred ten thousand".