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42323344332324 = 223111909791678883
BaseRepresentation
bin10011001111110001010111…
…11001111001011000100100
312112212001221122011211202120
421213320223321321120210
521021411202122113244
6230003024224305540
711625521633034156
oct1147705371713044
9175761848154676
1042323344332324
1112538258565590
1248b666a4722b0
131a800c716a113
14a646645ccad6
154d5dd9a32819
hex267e2be79624

42323344332324 has 48 divisors (see below), whose sum is σ = 107732777483520. Its totient is φ = 12825181063840.

The previous prime is 42323344332289. The next prime is 42323344332331.

42323344332324 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24369787 + ... + 26048669.

It is an arithmetic number, because the mean of its divisors is an integer number (2244432864240).

Almost surely, 242323344332324 is an apocalyptic number.

42323344332324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42323344332324 is an abundant number, since it is smaller than the sum of its proper divisors (65409433151196).

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

42323344332324 is a wasteful number, since it uses less digits than its factorization.

42323344332324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869880 (or 1869878 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 42.

It can be divided in two parts, 4232334 and 4332324, that added together give a palindrome (8564658).

The spelling of 42323344332324 in words is "forty-two trillion, three hundred twenty-three billion, three hundred forty-four million, three hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 190979 381958 572937 763916 1145874 1678883 2100769 2291748 3357766 4201538 5036649 6302307 6715532 8403076 10073298 12604614 18467713 20146596 25209228 36935426 55403139 73870852 110806278 221612556 320631396457 641262792914 961894189371 1282525585828 1923788378742 3526945361027 3847576757484 7053890722054 10580836083081 14107781444108 21161672166162 42323344332324