Search a number
-
+
1005340142532 = 223117616213201
BaseRepresentation
bin11101010000100101111…
…00010010101111000100
310120002221212211202212210
432220102330102233010
5112432414034030112
62045502532143420
7132430160133465
oct16502274225704
93502855752783
101005340142532
113583a9335030
12142a12467b70
1373a5973b8ab
143693176ad6c
151b2404aab3c
hexea12f12bc4

1005340142532 has 24 divisors (see below), whose sum is σ = 2559047635872. Its totient is φ = 304648528000.

The previous prime is 1005340142509. The next prime is 1005340142579. The reversal of 1005340142532 is 2352410435001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005340142532.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3808106469 + ... + 3808106732.

It is an arithmetic number, because the mean of its divisors is an integer number (106626984828).

Almost surely, 21005340142532 is an apocalyptic number.

1005340142532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005340142532 is an abundant number, since it is smaller than the sum of its proper divisors (1553707493340).

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

1005340142532 is a wasteful number, since it uses less digits than its factorization.

1005340142532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616213219 (or 7616213217 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 1005340142532 its reverse (2352410435001), we get a palindrome (3357750577533).

The spelling of 1005340142532 in words is "one trillion, five billion, three hundred forty million, one hundred forty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 7616213201 15232426402 22848639603 30464852804 45697279206 83778345211 91394558412 167556690422 251335035633 335113380844 502670071266 1005340142532