Search a number
-
+
2441364631442 = 21136839531409
BaseRepresentation
bin100011100001101100101…
…010111110111110010010
322122101120220021012212122
4203201230222332332102
5304444403321201232
65105314124454242
7341245201654142
oct43415452767622
98571526235778
102441364631442
11861416763000
123351a00aa382
131492b189bc99
148623c566922
154378b0b8312
hex2386cabef92

2441364631442 has 64 divisors (see below), whose sum is σ = 4040972737920. Its totient is φ = 1106138091520.

The previous prime is 2441364631373. The next prime is 2441364631469.

2441364631442 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24413646314422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2441364631393 and 2441364631402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1732692434 + ... + 1732693842.

It is an arithmetic number, because the mean of its divisors is an integer number (63140199030).

Almost surely, 22441364631442 is an apocalyptic number.

2441364631442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2441364631442 is a deficient number, since it is larger than the sum of its proper divisors (1599608106478).

2441364631442 is a wasteful number, since it uses less digits than its factorization.

2441364631442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3058 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The spelling of 2441364631442 in words is "two trillion, four hundred forty-one billion, three hundred sixty-four million, six hundred thirty-one thousand, four hundred forty-two".

Divisors: 1 2 11 22 121 242 683 953 1331 1366 1409 1906 2662 2818 7513 10483 15026 15499 20966 30998 82643 115313 165286 170489 230626 340978 650899 909073 962347 1268443 1301798 1342777 1818146 1875379 1924694 2536886 2685554 3750758 7159889 10585817 14319778 14770547 21171634 29541094 78758779 116443987 157517558 162476017 232887974 324952034 866346569 917116691 1280883857 1732693138 1787236187 1834233382 2561767714 3574472374 10088283601 20176567202 110971119611 221942239222 1220682315721 2441364631442