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42324042324 = 22310135279901
BaseRepresentation
bin100111011010101101…
…011010001001010100
311001020122011010020010
4213122231122021110
51143134423323244
631235435040220
73025554265254
oct473255321124
9131218133203
1042324042324
1116a49900483
1282522a0070
133cb66c4a35
1420970d7964
15117aa56eb9
hex9dab5a254

42324042324 has 48 divisors (see below), whose sum is σ = 99772235136. Its totient is φ = 13962960000.

The previous prime is 42324042323. The next prime is 42324042329.

42324042324 is nontrivially palindromic in base 10.

42324042324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42324042291 and 42324042300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42324042323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4269774 + ... + 4279674.

It is an arithmetic number, because the mean of its divisors is an integer number (2078588232).

Almost surely, 242324042324 is an apocalyptic number.

It is an amenable number.

42324042324 is an abundant number, since it is smaller than the sum of its proper divisors (57448192812).

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

42324042324 is a wasteful number, since it uses less digits than its factorization.

42324042324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13536 (or 13534 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 423240 and 42324, that added together give a palindrome (465564).

The spelling of 42324042324 in words is "forty-two billion, three hundred twenty-four million, forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 101 202 303 404 606 1212 3527 7054 9901 10581 14108 19802 21162 29703 39604 42324 59406 118812 356227 712454 1000001 1068681 1424908 2000002 2137362 3000003 4000004 4274724 6000006 12000012 34920827 69841654 104762481 139683308 209524962 419049924 3527003527 7054007054 10581010581 14108014108 21162021162 42324042324