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132132505231242 = 23410332992400353
BaseRepresentation
bin11110000010110001111111…
…000010011001111110001010
3122022211202002110211022120000
4132002301333002121332022
5114304324332314344432
61145004500201543430
736555154441121205
oct3602617702317612
9568752073738500
10132132505231242
113911309857448a
12129a01b87a4b76
135896070a32619
14248b366b2a93c
15104210a2ea57c
hex782c7f099f8a

132132505231242 has 80 divisors (see below), whose sum is σ = 299039941886400. Its totient is φ = 43603315815168.

The previous prime is 132132505231241. The next prime is 132132505231249. The reversal of 132132505231242 is 242132505231231.

132132505231242 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 2 + 5 + 0 + 523 + 124 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132132505231197 and 132132505231206.

It is not an unprimeable number, because it can be changed into a prime (132132505231241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53846938 + ... + 56247290.

It is an arithmetic number, because the mean of its divisors is an integer number (3737999273580).

Almost surely, 2132132505231242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132132505231242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149519970943200).

132132505231242 is an abundant number, since it is smaller than the sum of its proper divisors (166907436655158).

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

132132505231242 is a wasteful number, since it uses less digits than its factorization.

132132505231242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403769 (or 2403760 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 132132505231242 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, five hundred five million, two hundred thirty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 309 618 927 1854 2781 3299 5562 6598 8343 9897 16686 19794 29691 59382 89073 178146 267219 339797 534438 679594 1019391 2038782 2400353 3058173 4800706 6116346 7201059 9174519 14402118 18349038 21603177 27523557 43206354 55047114 64809531 129619062 194428593 247236359 388857186 494472718 741709077 1483418154 2225127231 4450254462 6675381693 7918764547 13350763386 15837529094 20026145079 23756293641 40052290158 47512587282 71268880923 142537761846 213806642769 427613285538 641419928307 815632748341 1282839856614 1631265496682 2446898245023 4893796490046 7340694735069 14681389470138 22022084205207 44044168410414 66066252615621 132132505231242