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243234411024 = 24311259709817
BaseRepresentation
bin1110001010000111100…
…1101001001000010000
3212020211102110022210210
43202201321221020100
512441121002123044
6303423525324120
723400401244363
oct3424171511020
9766742408723
10243234411024
1194178536100
123b182866640
1319c244cabc7
14bab60740da
1564d8da51b9
hex38a1e69210

243234411024 has 120 divisors (see below), whose sum is σ = 702379107360. Its totient is φ = 72458017280.

The previous prime is 243234410941. The next prime is 243234411067. The reversal of 243234411024 is 420114432342.

It is a junction number, because it is equal to n+sod(n) for n = 243234410982 and 243234411000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12237 + ... + 697580.

It is an arithmetic number, because the mean of its divisors is an integer number (5853159228).

Almost surely, 2243234411024 is an apocalyptic number.

243234411024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243234411024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351189553680).

243234411024 is an abundant number, since it is smaller than the sum of its proper divisors (459144696336).

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

243234411024 is a wasteful number, since it uses less digits than its factorization.

243234411024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709909 (or 709892 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 243234411024 its reverse (420114432342), we get a palindrome (663348843366).

The spelling of 243234411024 in words is "two hundred forty-three billion, two hundred thirty-four million, four hundred eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 88 118 121 132 176 177 236 242 264 354 363 472 484 528 649 708 726 944 968 1298 1416 1452 1936 1947 2596 2832 2904 3894 5192 5808 7139 7788 10384 14278 15576 21417 28556 31152 42834 57112 85668 114224 171336 342672 709817 1419634 2129451 2839268 4258902 5678536 7807987 8517804 11357072 15615974 17035608 23423961 31231948 34071216 41879203 46847922 62463896 83758406 85887857 93695844 124927792 125637609 167516812 171775714 187391688 251275218 257663571 335033624 343551428 374783376 460671233 502550436 515327142 670067248 687102856 921342466 1005100872 1030654284 1374205712 1382013699 1842684932 2010201744 2061308568 2764027398 3685369864 4122617136 5067383563 5528054796 7370739728 10134767126 11056109592 15202150689 20269534252 22112219184 30404301378 40539068504 60808602756 81078137008 121617205512 243234411024