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2440130310442 = 2112293143325903
BaseRepresentation
bin100011100000100011000…
…110011011000100101010
322122021101212200012210001
4203200203012123010222
5304434341324413232
65104551433013214
7341202463262506
oct43404306330452
98567355605701
102440130310442
11860942a45400
12334ab685420a
13149145c4bb26
1486162661306
1543717a4d6e7
hex2382319b12a

2440130310442 has 96 divisors (see below), whose sum is σ = 4306264381440. Its totient is φ = 1033924953600.

The previous prime is 2440130310437. The next prime is 2440130310469.

2440130310442 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2440130310442.

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 47 ways as a sum of consecutive naturals, for example, 94189663 + ... + 94215565.

It is an arithmetic number, because the mean of its divisors is an integer number (44856920640).

Almost surely, 22440130310442 is an apocalyptic number.

2440130310442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2440130310442 is a deficient number, since it is larger than the sum of its proper divisors (1866134070998).

2440130310442 is a wasteful number, since it uses less digits than its factorization.

2440130310442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26420 (or 26409 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 2440130 and 310442, that added together give a palindrome (2750572).

The spelling of 2440130310442 in words is "two trillion, four hundred forty billion, one hundred thirty million, three hundred ten thousand, four hundred forty-two".

Divisors: 1 2 11 22 29 31 58 62 121 242 319 341 433 638 682 866 899 1798 3509 3751 4763 7018 7502 9526 9889 12557 13423 19778 25114 25903 26846 51806 52393 104786 108779 138127 147653 217558 276254 284933 295306 389267 569866 751187 778534 802993 1502374 1519397 1605986 1624183 3038794 3134263 3248366 4281937 6268526 8263057 8563874 8832923 11215999 16526114 17665846 22431998 23286797 46573594 47101307 90893627 94202614 97162153 123375989 181787254 194324306 246751978 256154767 325263971 347695969 512309534 650527942 695391938 1357135879 2714271758 2817702437 3577903681 3824655659 5635404874 7155807362 7649311318 10083183101 20166366202 39356940491 42071212249 78713880982 84142424498 110915014111 221830028222 1220065155221 2440130310442