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12435303440 = 245722205899
BaseRepresentation
bin10111001010011001…
…11010110000010000
31012002122012212102002
423211030322300100
5200431414202230
65413535413132
7620105222660
oct134514726020
935078185362
1012435303440
11530144a58a
1224b06841a8
1312323b7021
1485d7721a0
154cbaa9545
hex2e533ac10

12435303440 has 40 divisors (see below), whose sum is σ = 33042379200. Its totient is φ = 4263532416.

The previous prime is 12435303427. The next prime is 12435303457. The reversal of 12435303440 is 4430353421.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11102390 + ... + 11103509.

It is an arithmetic number, because the mean of its divisors is an integer number (826059480).

Almost surely, 212435303440 is an apocalyptic number.

12435303440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12435303440 is an abundant number, since it is smaller than the sum of its proper divisors (20607075760).

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

12435303440 is a wasteful number, since it uses less digits than its factorization.

12435303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22205919 (or 22205913 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 12435303440 its reverse (4430353421), we get a palindrome (16865656861).

The spelling of 12435303440 in words is "twelve billion, four hundred thirty-five million, three hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 22205899 44411798 88823596 111029495 155441293 177647192 222058990 310882586 355294384 444117980 621765172 777206465 888235960 1243530344 1554412930 1776471920 2487060688 3108825860 6217651720 12435303440