Search a number
-
+
2331140240000 = 27541113203771
BaseRepresentation
bin100001111011000010110…
…010010011001010000000
322020212002011121222022102
4201323002302103022000
5301143133400140000
64542524441325532
7330263554050215
oct41730262231200
98225064558272
102331140240000
118196a3990320
1231795a1968a8
1313ba96a578a0
1480b83651b0c
15409894493d5
hex21ec2c93280

2331140240000 has 320 divisors, whose sum is σ = 6817811726880. Its totient is φ = 782476800000.

The previous prime is 2331140239999. The next prime is 2331140240053. The reversal of 2331140240000 is 420411332.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11338115 + ... + 11541885.

Almost surely, 22331140240000 is an apocalyptic number.

2331140240000 is a gapful number since it is divisible by the number (20) 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 2331140240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408905863440).

2331140240000 is an abundant number, since it is smaller than the sum of its proper divisors (4486671486880).

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

2331140240000 is a wasteful number, since it uses less digits than its factorization.

2331140240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203829 (or 203802 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2331140240000 its reverse (420411332), we get a palindrome (2331560651332).

The spelling of 2331140240000 in words is "two trillion, three hundred thirty-one billion, one hundred forty million, two hundred forty thousand".