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224323143424040 = 23539714126142533
BaseRepresentation
bin110011000000010101001101…
…010001110101100000101000
31002102021002020120011001021202
4303000111031101311200220
5213400302244204032130
62113032343542423332
765151545420205533
oct6300251521654050
91072232216131252
10224323143424040
1165526a02409281
12211ab3b2a31b48
139822773b94a9b
143d57425ca7a1a
151ae025e280145
hexcc054d475828

224323143424040 has 32 divisors (see below), whose sum is σ = 505998425567880. Its totient is φ = 89503239082752.

The previous prime is 224323143424019. The next prime is 224323143424067. The reversal of 224323143424040 is 40424341323422.

It can be written as a sum of positive squares in 4 ways, for example, as 214810471339396 + 9512672084644 = 14656414^2 + 3084262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 224323143423985 and 224323143424003.

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 7 ways as a sum of consecutive naturals, for example, 7063055387 + ... + 7063087146.

Almost surely, 2224323143424040 is an apocalyptic number.

224323143424040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224323143424040 is an abundant number, since it is smaller than the sum of its proper divisors (281675282143840).

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

224323143424040 is a wasteful number, since it uses less digits than its factorization.

224323143424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14126142941 (or 14126142937 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 224323143424040 its reverse (40424341323422), we get a palindrome (264747484747462).

The spelling of 224323143424040 in words is "two hundred twenty-four trillion, three hundred twenty-three billion, one hundred forty-three million, four hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 397 794 1588 1985 3176 3970 7940 15880 14126142533 28252285066 56504570132 70630712665 113009140264 141261425330 282522850660 565045701320 5608078585601 11216157171202 22432314342404 28040392928005 44864628684808 56080785856010 112161571712020 224323143424040