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132314112240 = 2435551308801
BaseRepresentation
bin111101100111010001…
…0010010000011110000
3110122112012100022211120
41323032202102003300
54131434403042430
6140441222342240
712362603253162
oct1731642220360
9418465308746
10132314112240
1151128959992
122178788a980
13c62844b20b
14659296c932
1536960c1610
hex1ece8920f0

132314112240 has 40 divisors (see below), whose sum is σ = 410173748688. Its totient is φ = 35283763200.

The previous prime is 132314112223. The next prime is 132314112251. The reversal of 132314112240 is 42211413231.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132314112240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275654161 + ... + 275654640.

Almost surely, 2132314112240 is an apocalyptic number.

132314112240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132314112240 is an abundant number, since it is smaller than the sum of its proper divisors (277859636448).

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

132314112240 is a wasteful number, since it uses less digits than its factorization.

132314112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551308817 (or 551308811 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 132314112240 its reverse (42211413231), we get a palindrome (174525525471).

The spelling of 132314112240 in words is "one hundred thirty-two billion, three hundred fourteen million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 551308801 1102617602 1653926403 2205235204 2756544005 3307852806 4410470408 5513088010 6615705612 8269632015 8820940816 11026176020 13231411224 16539264030 22052352040 26462822448 33078528060 44104704080 66157056120 132314112240