Search a number
-
+
3422323410000 = 243541123450899
BaseRepresentation
bin110001110011010010010…
…111110000010001010000
3110010011121121021101000220
4301303102113300101100
5422032404243110000
611140105455513040
7502153236004065
oct61632227602120
913104547241026
103422323410000
1110aa443388450
12473329228780
131ba953cc6591
14bb8d9b84c6c
155e050d511a0
hex31cd25f0450

3422323410000 has 400 divisors, whose sum is σ = 12576084364800. Its totient is φ = 793580480000.

The previous prime is 3422323409987. The next prime is 3422323410007. The reversal of 3422323410000 is 143232243.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422323410007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7364551 + ... + 7815449.

It is an arithmetic number, because the mean of its divisors is an integer number (31440210912).

Almost surely, 23422323410000 is an apocalyptic number.

3422323410000 is a gapful number since it is divisible by the number (30) 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 3422323410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288042182400).

3422323410000 is an abundant number, since it is smaller than the sum of its proper divisors (9153760954800).

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

3422323410000 is a wasteful number, since it uses less digits than its factorization.

3422323410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450964 (or 450943 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3422323410000 its reverse (143232243), we get a palindrome (3422466642243).

The spelling of 3422323410000 in words is "three trillion, four hundred twenty-two billion, three hundred twenty-three million, four hundred ten thousand".