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1005544441242 = 232115078507279
BaseRepresentation
bin11101010000111110001…
…11101000010110011010
310120010111010021020000200
432220133013220112122
5112433323334104432
62045535111043030
7132435220503525
oct16503707502632
93503433236020
101005544441242
113584a3693740
12142a6a970476
1373a8cb6c6c3
143695094bbbc
151b2533b3a7c
hexea1f1e859a

1005544441242 has 24 divisors (see below), whose sum is σ = 2376741407040. Its totient is φ = 304710436680.

The previous prime is 1005544441207. The next prime is 1005544441243. The reversal of 1005544441242 is 2421444455001.

1005544441242 is a `hidden beast` number, since 1 + 0 + 0 + 554 + 44 + 41 + 24 + 2 = 666.

It is a super-2 number, since 2×10055444412422 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1005544441197 and 1005544441206.

It is not an unprimeable number, because it can be changed into a prime (1005544441243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2539253442 + ... + 2539253837.

It is an arithmetic number, because the mean of its divisors is an integer number (99030891960).

Almost surely, 21005544441242 is an apocalyptic number.

1005544441242 is an abundant number, since it is smaller than the sum of its proper divisors (1371196965798).

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

1005544441242 is a wasteful number, since it uses less digits than its factorization.

1005544441242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5078507298 (or 5078507295 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 1005544441242 its reverse (2421444455001), we get a palindrome (3426988896243).

The spelling of 1005544441242 in words is "one trillion, five billion, five hundred forty-four million, four hundred forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 5078507279 10157014558 15235521837 30471043674 45706565511 55863580069 91413131022 111727160138 167590740207 335181480414 502772220621 1005544441242