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132144441231 = 31167363716433
BaseRepresentation
bin111101100010001101…
…1000010011110001111
3110122002101002010222010
41323010123002132033
54131112434104411
6140412321552303
712355443134415
oct1730433023617
9418071063863
10132144441231
1151051101610
122173aaa5693
13c5cc25287a
1465782032b5
1536862587a6
hex1ec46c278f

132144441231 has 32 divisors (see below), whose sum is σ = 195144415488. Its totient is φ = 78865712640.

The previous prime is 132144441217. The next prime is 132144441251.

It is a happy number.

132144441231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132144441231 - 26 = 132144441167 is a prime.

It is a super-2 number, since 2×1321444412312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132144441251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8033191 + ... + 8049623.

It is an arithmetic number, because the mean of its divisors is an integer number (6098262984).

Almost surely, 2132144441231 is an apocalyptic number.

132144441231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132144441231 is a deficient number, since it is larger than the sum of its proper divisors (62999974257).

132144441231 is a wasteful number, since it uses less digits than its factorization.

132144441231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20151.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 132144 and 441231, that added together give a palindrome (573375).

The spelling of 132144441231 in words is "one hundred thirty-two billion, one hundred forty-four million, four hundred forty-one thousand, two hundred thirty-one".

Divisors: 1 3 11 33 67 201 737 2211 3637 10911 16433 40007 49299 120021 180763 243679 542289 731037 1101011 2680469 3303033 8041407 12111121 36333363 59766821 179300463 657435031 1972305093 4004377007 12013131021 44048147077 132144441231