Search a number
-
+
133440144414012 = 223216322740310909
BaseRepresentation
bin11110010101110011110100…
…011010000001010100111100
3122111110202100002122110111100
4132111303310122001110330
5114442240403432222022
61151445320035453100
740051506113563512
oct3625636432012474
9574422302573440
10133440144414012
1139577713820767
1212b71716457190
13595c47569a147
1424d4774a984b2
15106613ebe71ac
hex795cf468153c

133440144414012 has 36 divisors (see below), whose sum is σ = 339376400020840. Its totient is φ = 44207164405152.

The previous prime is 133440144414001. The next prime is 133440144414029. The reversal of 133440144414012 is 210414441044331.

133440144414012 is a `hidden beast` number, since 1 + 3 + 34 + 40 + 1 + 444 + 140 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1334401444140122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11370149587 + ... + 11370161322.

Almost surely, 2133440144414012 is an apocalyptic number.

133440144414012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133440144414012 is an abundant number, since it is smaller than the sum of its proper divisors (205936255606828).

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

133440144414012 is a wasteful number, since it uses less digits than its factorization.

133440144414012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22740311082 (or 22740311077 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 133440144414012 its reverse (210414441044331), we get a palindrome (343854585458343).

The spelling of 133440144414012 in words is "one hundred thirty-three trillion, four hundred forty billion, one hundred forty-four million, four hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 163 326 489 652 978 1467 1956 2934 5868 22740310909 45480621818 68220932727 90961243636 136441865454 204662798181 272883730908 409325596362 818651192724 3706670678167 7413341356334 11120012034501 14826682712668 22240024069002 33360036103503 44480048138004 66720072207006 133440144414012