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3040440214032 = 24331323191123239
BaseRepresentation
bin101100001111101000010…
…110111110001000010000
3101202122220111200000002000
4230033220112332020100
5344303310143322112
610244431533354000
7432443641255524
oct54175026761020
911678814600060
103040440214032
11a72497267071
12411311338900
13190934b63b30
14a722db35d84
155414ebd47dc
hex2c3e85be210

3040440214032 has 320 divisors, whose sum is σ = 9858569011200. Its totient is φ = 890153003520.

The previous prime is 3040440214013. The next prime is 3040440214079. The reversal of 3040440214032 is 2304120440403.

It is a happy number.

3040440214032 is a `hidden beast` number, since 3 + 0 + 4 + 0 + 440 + 214 + 0 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3040440213987 and 3040440214005.

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 63 ways as a sum of consecutive naturals, for example, 24609469 + ... + 24732707.

It is an arithmetic number, because the mean of its divisors is an integer number (30808028160).

Almost surely, 23040440214032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3040440214032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929284505600).

3040440214032 is an abundant number, since it is smaller than the sum of its proper divisors (6818128797168).

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

3040440214032 is a wasteful number, since it uses less digits than its factorization.

3040440214032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123483 (or 123471 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 3040440214032 its reverse (2304120440403), we get a palindrome (5344560654435).

The spelling of 3040440214032 in words is "three trillion, forty billion, four hundred forty million, two hundred fourteen thousand, thirty-two".