Search a number
-
+
11334024013004 = 22711290312676121
BaseRepresentation
bin1010010011101110100001…
…1110011010010011001100
31111010112002121202122112022
42210323220132122103030
52441144040121404004
640034440113225312
72246566452353120
oct244735036322314
944115077678468
1011334024013004
11367a807094820
121330739862238
13642a421c6324
142b27d9327580
15149c55dac2be
hexa4ee879a4cc

11334024013004 has 48 divisors (see below), whose sum is σ = 24737299969536. Its totient is φ = 4414332028800.

The previous prime is 11334024012959. The next prime is 11334024013031. The reversal of 11334024013004 is 40031042043311.

It is a happy number.

11334024013004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113340240130042 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5443937 + ... + 7232184.

It is an arithmetic number, because the mean of its divisors is an integer number (515360416032).

Almost surely, 211334024013004 is an apocalyptic number.

11334024013004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11334024013004 is an abundant number, since it is smaller than the sum of its proper divisors (13403275956532).

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

11334024013004 is a wasteful number, since it uses less digits than its factorization.

11334024013004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12679046 (or 12679044 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 11334024013004 its reverse (40031042043311), we get a palindrome (51365066056315).

The spelling of 11334024013004 in words is "eleven trillion, three hundred thirty-four billion, twenty-four million, thirteen thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 2903 5806 11612 20321 31933 40642 63866 81284 127732 223531 447062 894124 12676121 25352242 50704484 88732847 139437331 177465694 278874662 354931388 557749324 976061317 1952122634 3904245268 36798779263 73597558526 147195117052 257591454841 404786571893 515182909682 809573143786 1030365819364 1619146287572 2833506003251 5667012006502 11334024013004