Search a number
-
+
2442331104432 = 24359862405051
BaseRepresentation
bin100011100010100110010…
…001110010010010110000
322122111002020212010120120
4203202212101302102300
5310003343230320212
65105554051410240
7341311145566512
oct43424621622260
98574066763516
102442331104432
1186187226750a
1233540b8b3980
13149406b9a9ab
14862d0a67bb2
15437e5d7588c
hex238a64724b0

2442331104432 has 40 divisors (see below), whose sum is σ = 6416293586880. Its totient is φ = 800311886400.

The previous prime is 2442331104397. The next prime is 2442331104457. The reversal of 2442331104432 is 2344011332442.

It is a junction number, because it is equal to n+sod(n) for n = 2442331104393 and 2442331104402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431199694 + ... + 431205357.

It is an arithmetic number, because the mean of its divisors is an integer number (160407339672).

Almost surely, 22442331104432 is an apocalyptic number.

It is an amenable number.

2442331104432 is an abundant number, since it is smaller than the sum of its proper divisors (3973962482448).

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

2442331104432 is a wasteful number, since it uses less digits than its factorization.

2442331104432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862405121 (or 862405115 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 2442331104432 its reverse (2344011332442), we get a palindrome (4786342436874).

The spelling of 2442331104432 in words is "two trillion, four hundred forty-two billion, three hundred thirty-one million, one hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 862405051 1724810102 2587215153 3449620204 5174430306 6899240408 10348860612 13798480816 20697721224 41395442448 50881898009 101763796018 152645694027 203527592036 305291388054 407055184072 610582776108 814110368144 1221165552216 2442331104432