Search a number
-
+
3014231441100 = 223521110723513631
BaseRepresentation
bin101011110111001110001…
…100011011111011001100
3101200011020222020101112020
4223313032030123323030
5343341121222103400
610224415132410140
7430525315340025
oct53671614337314
911604228211466
103014231441100
11a62368082050
12408218016950
1318b319083c79
14a5c65017c4c
1553618d422a0
hex2bdce31becc

3014231441100 has 288 divisors, whose sum is σ = 9609656942592. Its totient is φ = 723386400000.

The previous prime is 3014231441071. The next prime is 3014231441129. The reversal of 3014231441100 is 11441324103.

It is an interprime number because it is at equal distance from previous prime (3014231441071) and next prime (3014231441129).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 830136285 + ... + 830139915.

It is an arithmetic number, because the mean of its divisors is an integer number (33366864384).

Almost surely, 23014231441100 is an apocalyptic number.

3014231441100 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 3014231441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804828471296).

3014231441100 is an abundant number, since it is smaller than the sum of its proper divisors (6595425501492).

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

3014231441100 is a wasteful number, since it uses less digits than its factorization.

3014231441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6117 (or 6110 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 3014231441100 its reverse (11441324103), we get a palindrome (3025672765203).

The spelling of 3014231441100 in words is "three trillion, fourteen billion, two hundred thirty-one million, four hundred forty-one thousand, one hundred".