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132414035754 = 237112132004269
BaseRepresentation
bin111101101010001111…
…1011101011100101010
3110122210011100222010110
41323110133131130222
54132140443121004
6140455152155150
712365225506320
oct1732437353452
9418704328113
10132414035754
115117a2a8a00
12217b5238ab6
13c643065c60
1465a1d3dd10
15369ec5d589
hex1ed47dd72a

132414035754 has 96 divisors (see below), whose sum is σ = 358267271040. Its totient is φ = 31747605120.

The previous prime is 132414035729. The next prime is 132414035797. The reversal of 132414035754 is 457530414231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 936069 + ... + 1068200.

It is an arithmetic number, because the mean of its divisors is an integer number (3731950740).

Almost surely, 2132414035754 is an apocalyptic number.

132414035754 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132414035754 is an abundant number, since it is smaller than the sum of its proper divisors (225853235286).

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

132414035754 is a wasteful number, since it uses less digits than its factorization.

132414035754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004316 (or 2004305 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

Adding to 132414035754 its reverse (457530414231), we get a palindrome (589944449985).

The spelling of 132414035754 in words is "one hundred thirty-two billion, four hundred fourteen million, thirty-five thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 121 143 154 182 231 242 273 286 363 429 462 546 726 847 858 1001 1573 1694 2002 2541 3003 3146 4719 5082 6006 9438 11011 22022 33033 66066 2004269 4008538 6012807 12025614 14029883 22046959 26055497 28059766 42089649 44093918 52110994 66140877 78166491 84179298 132281754 154328713 156332982 182388479 242516549 286610467 308657426 364776958 462986139 485033098 547165437 573220934 727549647 859831401 925972278 1094330874 1455099294 1697615843 1719662802 2006273269 3152715137 3395231686 4012546538 5092847529 6018819807 6305430274 9458145411 10185695058 12037639614 18916290822 22069005959 44138011918 66207017877 132414035754