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12040145440 = 255109768597
BaseRepresentation
bin10110011011010011…
…00000101000100000
31011002002122202112121
423031221200220200
5144124234123230
65310422034024
7604236355561
oct131551405040
934062582477
1012040145440
115119391524
122400278914
13119b57c61b
148230ac168
154a705077a
hex2cda60a20

12040145440 has 48 divisors (see below), whose sum is σ = 28471188312. Its totient is φ = 4811597824.

The previous prime is 12040145431. The next prime is 12040145471. The reversal of 12040145440 is 4454104021.

It can be written as a sum of positive squares in 4 ways, for example, as 5881662864 + 6158482576 = 76692^2 + 78476^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141222 + ... + 209818.

Almost surely, 212040145440 is an apocalyptic number.

12040145440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12040145440 is an abundant number, since it is smaller than the sum of its proper divisors (16431042872).

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

12040145440 is a wasteful number, since it uses less digits than its factorization.

12040145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69709 (or 69701 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 12040145440 its reverse (4454104021), we get a palindrome (16494249461).

The spelling of 12040145440 in words is "twelve billion, forty million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1097 2194 4388 5485 8776 10970 17552 21940 35104 43880 68597 87760 137194 175520 274388 342985 548776 685970 1097552 1371940 2195104 2743880 5487760 10975520 75250909 150501818 301003636 376254545 602007272 752509090 1204014544 1505018180 2408029088 3010036360 6020072720 12040145440