Search a number
-
+
130134441231232 = 2712719341478329
BaseRepresentation
bin11101100101101101001001…
…001001001000001110000000
3122001202201201221220110022021
4131211231021021020032000
5114024110313423344412
61140434534220051224
736260621524261024
oct3545551111101600
9561681657813267
10130134441231232
1138512785528099
1212718b15093b14
13577c8185c7a99
14241c77d436384
15100a16728c607
hex765b49248380

130134441231232 has 64 divisors (see below), whose sum is σ = 262647422092800. Its totient is φ = 64220397502464.

The previous prime is 130134441231203. The next prime is 130134441231251. The reversal of 130134441231232 is 232132144431031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 17601757 + ... + 23876572.

It is an arithmetic number, because the mean of its divisors is an integer number (4103865970200).

Almost surely, 2130134441231232 is an apocalyptic number.

It is an amenable number.

130134441231232 is an abundant number, since it is smaller than the sum of its proper divisors (132512980861568).

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

130134441231232 is a wasteful number, since it uses less digits than its factorization.

130134441231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41478663 (or 41478651 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 130134441231232 its reverse (232132144431031), we get a palindrome (362266585662263).

The spelling of 130134441231232 in words is "one hundred thirty trillion, one hundred thirty-four billion, four hundred forty-one million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 127 128 193 254 386 508 772 1016 1544 2032 3088 4064 6176 8128 12352 16256 24511 24704 49022 98044 196088 392176 784352 1568704 3137408 41478329 82956658 165913316 331826632 663653264 1327306528 2654613056 5267747783 5309226112 8005317497 10535495566 16010634994 21070991132 32021269988 42141982264 64042539976 84283964528 128085079952 168567929056 256170159904 337135858112 512340319808 674271716224 1016675322119 1024680639616 2033350644238 4066701288476 8133402576952 16266805153904 32533610307808 65067220615616 130134441231232