Search a number
-
+
114505245340044 = 223132331913390563
BaseRepresentation
bin11010000010010001010100…
…011110010011000110001100
3120000102121001102111002010020
4122002101110132103012030
5110002023220301340134
61043310552234542140
733055505503203036
oct3202212436230614
9500377042432106
10114505245340044
1133537446937929
1210a13a72b97950
134bb7a4bb46b60
14203c124d8ac56
15d38826a6ab49
hex68245479318c

114505245340044 has 48 divisors (see below), whose sum is σ = 300241178426112. Its totient is φ = 33700540433472.

The previous prime is 114505245340039. The next prime is 114505245340051. The reversal of 114505245340044 is 440043542505411.

It is a super-2 number, since 2×1145052453400442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114505245339978 and 114505245340005.

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 15 ways as a sum of consecutive naturals, for example, 15956691694 + ... + 15956698869.

It is an arithmetic number, because the mean of its divisors is an integer number (6255024550544).

Almost surely, 2114505245340044 is an apocalyptic number.

It is an amenable number.

114505245340044 is an abundant number, since it is smaller than the sum of its proper divisors (185735933086068).

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

114505245340044 is a wasteful number, since it uses less digits than its factorization.

114505245340044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31913390606 (or 31913390604 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

Adding to 114505245340044 its reverse (440043542505411), we get a palindrome (554548787845455).

The spelling of 114505245340044 in words is "one hundred fourteen trillion, five hundred five billion, two hundred forty-five million, three hundred forty thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 3588 31913390563 63826781126 95740171689 127653562252 191480343378 382960686756 414874077319 734007982949 829748154638 1244622231957 1468015965898 1659496309276 2202023948847 2489244463914 2936031931796 4404047897694 4978488927828 8808095795388 9542103778337 19084207556674 28626311335011 38168415113348 57252622670022 114505245340044