Search a number
-
+
133433044033032 = 2334205915191409
BaseRepresentation
bin11110010101101101001101…
…001100001101111000001000
3122111110002000021000201220000
4132111231031030031320020
5114442131333233024112
61151442143314003000
740051135135414362
oct3625551514157010
9574402007021800
10133433044033032
11395746aa845407
1212b70274576460
13595b8b3649193
1424d429da8bd32
151065d766a07dc
hex795b4d30de08

133433044033032 has 40 divisors (see below), whose sum is σ = 373736072409150. Its totient is φ = 44477681344128.

The previous prime is 133433044033019. The next prime is 133433044033039. The reversal of 133433044033032 is 230330440334331.

133433044033032 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 3 + 304 + 40 + 3 + 303 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84225147985476 + 49207896047556 = 9177426^2 + 7014834^2 .

It is a super-2 number, since 2×1334330440330322 (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 not an unprimeable number, because it can be changed into a prime (133433044033039) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 102957595057 + ... + 102957596352.

Almost surely, 2133433044033032 is an apocalyptic number.

133433044033032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133433044033032 is an abundant number, since it is smaller than the sum of its proper divisors (240303028376118).

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

133433044033032 is a wasteful number, since it uses less digits than its factorization.

133433044033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205915191427 (or 205915191414 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 36.

Adding to 133433044033032 its reverse (230330440334331), we get a palindrome (363763484367363).

The spelling of 133433044033032 in words is "one hundred thirty-three trillion, four hundred thirty-three billion, forty-four million, thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 205915191409 411830382818 617745574227 823660765636 1235491148454 1647321531272 1853236722681 2470982296908 3706473445362 4941964593816 5559710168043 7412946890724 11119420336086 14825893781448 16679130504129 22238840672172 33358261008258 44477681344344 66716522016516 133433044033032