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42312322321324 = 22113137808937897
BaseRepresentation
bin10011001111011100110101…
…11100010000101110101100
312112211000111111022200002221
421213232122330100232230
521021221114003240244
6225554002412325124
711624651535345256
oct1147563274205654
9175730444280087
1042312322321324
1112533611963590
1248b44b31737a4
131a7c05b806c13
14a63cda82ccd6
154d5992096784
hex267b9af10bac

42312322321324 has 48 divisors (see below), whose sum is σ = 80815941793440. Its totient is φ = 19223858626560.

The previous prime is 42312322321219. The next prime is 42312322321387.

It is a happy number.

42312322321324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×423123223213242 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42312322321324.

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, 1116489544 + ... + 1116527440.

It is an arithmetic number, because the mean of its divisors is an integer number (1683665454030).

Almost surely, 242312322321324 is an apocalyptic number.

42312322321324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42312322321324 is a deficient number, since it is larger than the sum of its proper divisors (38503619472116).

42312322321324 is a wasteful number, since it uses less digits than its factorization.

42312322321324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49138 (or 49136 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 4231232 and 2321324, that added together give a palindrome (6552556).

The spelling of 42312322321324 in words is "forty-two trillion, three hundred twelve billion, three hundred twenty-two million, three hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 3137 6274 8089 12548 16178 32356 34507 37897 69014 75794 88979 138028 151588 177958 355916 416867 833734 1667468 25375193 50750386 101500772 118882889 237765778 279127123 306548833 475531556 558254246 613097666 1116508492 1226195332 1307711779 2615423558 3372037163 5230847116 6744074326 13488148652 961643689121 1923287378242 3846574756484 10578080580331 21156161160662 42312322321324