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42311312244312 = 2333771671096819
BaseRepresentation
bin10011001111011010111101…
…01111000111111001011000
312112210220220002200102221020
421213231132233013321120
521021212031413304222
6225553314251042440
711624614522004316
oct1147553657077130
9175726802612836
1042311312244312
11125331437877a1
1248b4270a40420
131a7bc2a47c107
14a63c4261b0b6
154d593357465c
hex267b5ebc7e58

42311312244312 has 64 divisors (see below), whose sum is σ = 110167253971200. Its totient is φ = 13529311850880.

The previous prime is 42311312244259. The next prime is 42311312244329. The reversal of 42311312244312 is 21344221311324.

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

It is a congruent number.

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, 335485362 + ... + 335611457.

It is an arithmetic number, because the mean of its divisors is an integer number (1721363343300).

Almost surely, 242311312244312 is an apocalyptic number.

It is an amenable number.

42311312244312 is an abundant number, since it is smaller than the sum of its proper divisors (67855941726888).

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

42311312244312 is a wasteful number, since it uses less digits than its factorization.

42311312244312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671096936 (or 671096932 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 42311312244312 its reverse (21344221311324), we get a palindrome (63655533555636).

The spelling of 42311312244312 in words is "forty-two trillion, three hundred eleven billion, three hundred twelve million, two hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 71 74 111 142 148 213 222 284 296 426 444 568 852 888 1704 2627 5254 7881 10508 15762 21016 31524 63048 671096819 1342193638 2013290457 2684387276 4026580914 5368774552 8053161828 16106323656 24830582303 47647874149 49661164606 74491746909 95295748298 99322329212 142943622447 148983493818 190591496596 198644658424 285887244894 297966987636 381182993192 571774489788 595933975272 1143548979576 1762971343513 3525942687026 5288914030539 7051885374052 10577828061078 14103770748104 21155656122156 42311312244312