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24342244224342 = 2311271472243127
BaseRepresentation
bin1011000100011100111101…
…10100011110110101010110
310012012002120212001011212120
411202032132310132311112
511142310404010134332
6123434401141400410
75061445334651322
oct542163664366526
9105162525034776
1024342244224342
117835540299a00
122891834409106
131077604c07505
14602256d7a982
152c32e703c32c
hex16239ed1ed56

24342244224342 has 48 divisors (see below), whose sum is σ = 54266402324736. Its totient is φ = 7272544140400.

The previous prime is 24342244224341. The next prime is 24342244224349.

24342244224342 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×243422442243423 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 24342244224294 and 24342244224303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24342244224341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236070018 + ... + 236173109.

It is an arithmetic number, because the mean of its divisors is an integer number (1130550048432).

Almost surely, 224342244224342 is an apocalyptic number.

24342244224342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24342244224342 is an abundant number, since it is smaller than the sum of its proper divisors (29924158100394).

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

24342244224342 is a wasteful number, since it uses less digits than its factorization.

24342244224342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472243225 (or 472243214 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 42.

It can be divided in two parts, 2434224 and 4224342, that added together give a palindrome (6658566).

The spelling of 24342244224342 in words is "twenty-four trillion, three hundred forty-two billion, two hundred forty-four million, two hundred twenty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 71 121 142 213 242 363 426 726 781 1562 2343 4686 8591 17182 25773 51546 472243127 944486254 1416729381 2833458762 5194674397 10389348794 15584023191 31168046382 33529262017 57141418367 67058524034 100587786051 114282836734 171424255101 201175572102 342848510202 368821882187 737643764374 1106465646561 2212931293122 4057040704057 8114081408114 12171122112171 24342244224342