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132131044210144 = 2572171757490619
BaseRepresentation
bin11110000010110000100111…
…111101000011010111100000
3122022211121022122122202101111
4132002300213331003113200
5114304313334304211034
61145004055211113104
736555103310466400
oct3602604775032740
9568747278582344
10132131044210144
1139112508897731
121299ba6b442794
135895b9a13a1b5
14248b268a92800
151042071e00364
hex782c27f435e0

132131044210144 has 72 divisors (see below), whose sum is σ = 302606064666360. Its totient is φ = 56627145259776.

The previous prime is 132131044210141. The next prime is 132131044210163. The reversal of 132131044210144 is 441012440131231.

It is a super-2 number, since 2×1321310442101442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132131044210141) 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 11 ways as a sum of consecutive naturals, for example, 269069667 + ... + 269560285.

It is an arithmetic number, because the mean of its divisors is an integer number (4202862009255).

Almost surely, 2132131044210144 is an apocalyptic number.

132131044210144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132131044210144 is an abundant number, since it is smaller than the sum of its proper divisors (170475020456216).

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

132131044210144 is a wasteful number, since it uses less digits than its factorization.

132131044210144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662400 (or 662385 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 132131044210144 its reverse (441012440131231), we get a palindrome (573143484341375).

The spelling of 132131044210144 in words is "one hundred thirty-two trillion, one hundred thirty-one billion, forty-four million, two hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 171757 343514 490619 687028 981238 1202299 1374056 1962476 2404598 2748112 3434333 3924952 4809196 5496224 6868666 7849904 8416093 9618392 13737332 15699808 16832186 19236784 24040331 27474664 33664372 38473568 48080662 54949328 67328744 96161324 109898656 134657488 192322648 269314976 384645296 769290592 84267247583 168534495166 337068990332 589870733081 674137980664 1179741466162 1348275961328 2359482932324 2696551922656 4129095131567 4718965864648 8258190263134 9437931729296 16516380526268 18875863458592 33032761052536 66065522105072 132131044210144