Search a number
-
+
10344024042 = 2311219749893
BaseRepresentation
bin10011010001000110…
…10100011111101010
3222200220002212101120
421220203110133222
5132141032232132
64430232200110
7514222516332
oct115043243752
928626085346
1010344024042
114428a28400
122008239036
13c8b0605b1
14701b160c2
154081b602c
hex2688d47ea

10344024042 has 48 divisors (see below), whose sum is σ = 23936616480. Its totient is φ = 2969572320.

The previous prime is 10344024013. The next prime is 10344024059. The reversal of 10344024042 is 24042044301.

It is a happy number.

10344024042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 361153 + ... + 388740.

It is an arithmetic number, because the mean of its divisors is an integer number (498679510).

Almost surely, 210344024042 is an apocalyptic number.

10344024042 is an abundant number, since it is smaller than the sum of its proper divisors (13592592438).

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

10344024042 is a wasteful number, since it uses less digits than its factorization.

10344024042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749939 (or 749928 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10344024042 its reverse (24042044301), we get a palindrome (34386068343).

The spelling of 10344024042 in words is "ten billion, three hundred forty-four million, twenty-four thousand, forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 1254 2299 4598 6897 13794 749893 1499786 2249679 4499358 8248823 14247967 16497646 24746469 28495934 42743901 49492938 85487802 90737053 156727637 181474106 272211159 313455274 470182911 544422318 940365822 1724004007 3448008014 5172012021 10344024042