Search a number
-
+
134134332320232 = 23322380998992947
BaseRepresentation
bin11110011111111010010101…
…001110101110100111101000
3122120221010011020122220102200
4132133322111032232213220
5120040124103033221412
61153140243411500200
740152612540456306
oct3637722516564750
9576833136586380
10134134332320232
11398150617a1272
12130641705b7660
1359aca7597ca2a
14251a1ca105276
15107921d8d29dc
hex79fe953ae9e8

134134332320232 has 48 divisors (see below), whose sum is σ = 379075286996640. Its totient is φ = 42767468275488.

The previous prime is 134134332320161. The next prime is 134134332320243. The reversal of 134134332320232 is 232023233431431.

134134332320232 is a `hidden beast` number, since 1 + 3 + 4 + 13 + 433 + 2 + 3 + 202 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40499494818 + ... + 40499498129.

It is an arithmetic number, because the mean of its divisors is an integer number (7897401812430).

Almost surely, 2134134332320232 is an apocalyptic number.

134134332320232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134134332320232 is an abundant number, since it is smaller than the sum of its proper divisors (244940954676408).

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

134134332320232 is a wasteful number, since it uses less digits than its factorization.

134134332320232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80998992982 (or 80998992975 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 134134332320232 its reverse (232023233431431), we get a palindrome (366157565751663).

The spelling of 134134332320232 in words is "one hundred thirty-four trillion, one hundred thirty-four billion, three hundred thirty-two million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 80998992947 161997985894 242996978841 323995971788 485993957682 647991943576 728990936523 971987915364 1457981873046 1862976837781 1943975830728 2915963746092 3725953675562 5588930513343 5831927492184 7451907351124 11177861026686 14903814702248 16766791540029 22355722053372 33533583080058 44711444106744 67067166160116 134134332320232