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2440132124444 = 2274320111007801
BaseRepresentation
bin100011100000100011001…
…101010101111100011100
322122021102000002101010022
4203200203031111330130
5304434342310440234
65104551535531312
7341202514556240
oct43404315257434
98567360071108
102440132124444
11860943a74283
12334ab7389b38
131491464356c1
14861629b4420
1543717caae2e
hex23823355f1c

2440132124444 has 48 divisors (see below), whose sum is σ = 4996246945536. Its totient is φ = 1020941712000.

The previous prime is 2440132124389. The next prime is 2440132124471. The reversal of 2440132124444 is 4444212310442.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1917344 + ... + 2925144.

It is an arithmetic number, because the mean of its divisors is an integer number (104088478032).

Almost surely, 22440132124444 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 2440132124444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498123472768).

2440132124444 is an abundant number, since it is smaller than the sum of its proper divisors (2556114821092).

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

2440132124444 is a wasteful number, since it uses less digits than its factorization.

2440132124444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009866 (or 1009864 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 2440132124444 its reverse (4444212310442), we get a palindrome (6884344434886).

The spelling of 2440132124444 in words is "two trillion, four hundred forty billion, one hundred thirty-two million, one hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 43 86 172 301 602 1204 2011 4022 8044 14077 28154 56308 86473 172946 345892 605311 1007801 1210622 2015602 2421244 4031204 7054607 14109214 28218428 43335443 86670886 173341772 303348101 606696202 1213392404 2026687811 4053375622 8106751244 14186814677 28373629354 56747258708 87147575873 174295151746 348590303492 610033031111 1220066062222 2440132124444