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324024132042 = 2321349912232269
BaseRepresentation
bin1001011011100010101…
…01111110000111001010
31010222100210120101101100
410231301111332013022
520302100134211132
6404504333402230
732260422451542
oct4556125760712
91128323511340
10324024132042
111154661a2286
125296b039376
132472b127060
141197ba60322
15866686a37c
hex4b7157e1ca

324024132042 has 96 divisors (see below), whose sum is σ = 758525040000. Its totient is φ = 99374760576.

The previous prime is 324024132041. The next prime is 324024132059. The reversal of 324024132042 is 240231420423.

324024132042 is a `hidden beast` number, since 3 + 2 + 40 + 2 + 413 + 204 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 324024131997 and 324024132015.

It is not an unprimeable number, because it can be changed into a prime (324024132041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142803684 + ... + 142805952.

It is an arithmetic number, because the mean of its divisors is an integer number (7901302500).

Almost surely, 2324024132042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324024132042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379262520000).

324024132042 is an abundant number, since it is smaller than the sum of its proper divisors (434500907958).

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

324024132042 is a wasteful number, since it uses less digits than its factorization.

324024132042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 324024132042 its reverse (240231420423), we get a palindrome (564255552465).

The spelling of 324024132042 in words is "three hundred twenty-four billion, twenty-four million, one hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 499 998 1223 1497 2269 2446 2994 3669 4491 4538 6487 6807 7338 8982 11007 12974 13614 15899 19461 20421 22014 29497 31798 38922 40842 47697 58383 58994 88491 95394 116766 143091 176982 265473 286182 530946 610277 1132231 1220554 1830831 2264462 2774987 3396693 3661662 5492493 5549974 6793386 7933601 8324961 10190079 10984986 14719003 15867202 16649922 20380158 23800803 24974883 29438006 36074831 44157009 47601606 49949766 71402409 72149662 88314018 108224493 132471027 142804818 216448986 264942054 324673479 649346958 1384718513 2769437026 4154155539 8308311078 12462466617 18001340669 24924933234 36002681338 54004022007 108008044014 162012066021 324024132042