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240111343424 = 2617465747389
BaseRepresentation
bin1101111110011111000…
…0000101011101000000
3211221202202212001110102
43133213300011131000
512413222000442144
6302150003221532
723230116513131
oct3374760053500
9757682761412
10240111343424
11929156591a7
123a6509778a8
1319847487404
14b89b393c88
1563a4b01b4e
hex37e7c05740

240111343424 has 56 divisors (see below), whose sum is σ = 504617629320. Its totient is φ = 112966926336.

The previous prime is 240111343393. The next prime is 240111343561. The reversal of 240111343424 is 424343111042.

240111343424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11343424 + 240100000000 = 3368^2 + 490000^2 .

It is a congruent number.

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, 5043122 + ... + 5090510.

It is an arithmetic number, because the mean of its divisors is an integer number (9011029095).

Almost surely, 2240111343424 is an apocalyptic number.

It is an amenable number.

240111343424 is an abundant number, since it is smaller than the sum of its proper divisors (264506285896).

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

240111343424 is a wasteful number, since it uses less digits than its factorization.

240111343424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52075 (or 52065 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 240111343424 its reverse (424343111042), we get a palindrome (664454454466).

It can be divided in two parts, 2401 and 11343424, that multiplied together give a square (27235561024 = 1650322).

The spelling of 240111343424 in words is "two hundred forty billion, one hundred eleven million, three hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 4657 9314 18628 37256 47389 74512 79169 94778 149024 158338 189556 298048 316676 379112 633352 758224 805613 1266704 1516448 1611226 2533408 3032896 3222452 5066816 6444904 12889808 25779616 51559232 220690573 441381146 882762292 1765524584 3531049168 3751739741 7062098336 7503479482 14124196672 15006958964 30013917928 60027835856 120055671712 240111343424