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132243321456 = 24322713388769
BaseRepresentation
bin111101100101001010…
…0001111001001110000
3110122100021010210010200
41323022110033021300
54131313242241311
6140430213155200
712361053454101
oct1731224171160
9418307123120
10132243321456
11510a19a8804
122176802bb00
13c61689378c
1465873c23a8
15368ec8b556
hex1eca50f270

132243321456 has 60 divisors (see below), whose sum is σ = 371463412320. Its totient is φ = 43918433280.

The previous prime is 132243321367. The next prime is 132243321473. The reversal of 132243321456 is 654123342231.

132243321456 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 433 + 214 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132243321456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1655361 + ... + 1733408.

It is an arithmetic number, because the mean of its divisors is an integer number (6191056872).

Almost surely, 2132243321456 is an apocalyptic number.

132243321456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132243321456 is an abundant number, since it is smaller than the sum of its proper divisors (239220090864).

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

132243321456 is a wasteful number, since it uses less digits than its factorization.

132243321456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3389054 (or 3389045 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 132243321456 its reverse (654123342231), we get a palindrome (786366663687).

The spelling of 132243321456 in words is "one hundred thirty-two billion, two hundred forty-three million, three hundred twenty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 271 542 813 1084 1626 2168 2439 3252 4336 4878 6504 9756 13008 19512 39024 3388769 6777538 10166307 13555076 20332614 27110152 30498921 40665228 54220304 60997842 81330456 121995684 162660912 243991368 487982736 918356399 1836712798 2755069197 3673425596 5510138394 7346851192 8265207591 11020276788 14693702384 16530415182 22040553576 33060830364 44081107152 66121660728 132243321456