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132442010040 = 23351801612817
BaseRepresentation
bin111101101011000101…
…0001011000110111000
3110122212010000012122010
41323112022023012320
54132220123310130
6140502031525520
712366015340104
oct1732612130670
9418763005563
10132442010040
115119407544a
12218026898a0
13c648aabba2
1465a5942904
1536a24370b0
hex1ed628b1b8

132442010040 has 64 divisors (see below), whose sum is σ = 397547292960. Its totient is φ = 35298201600.

The previous prime is 132442010011. The next prime is 132442010083. The reversal of 132442010040 is 40010244231.

It is a junction number, because it is equal to n+sod(n) for n = 132442009989 and 132442010016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90289 + ... + 522528.

Almost surely, 2132442010040 is an apocalyptic number.

132442010040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132442010040 is an abundant number, since it is smaller than the sum of its proper divisors (265105282920).

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

132442010040 is a wasteful number, since it uses less digits than its factorization.

132442010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614632 (or 614628 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 132442010040 its reverse (40010244231), we get a palindrome (172452254271).

The spelling of 132442010040 in words is "one hundred thirty-two billion, four hundred forty-two million, ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1801 3602 5403 7204 9005 10806 14408 18010 21612 27015 36020 43224 54030 72040 108060 216120 612817 1225634 1838451 2451268 3064085 3676902 4902536 6128170 7353804 9192255 12256340 14707608 18384510 24512680 36769020 73538040 1103683417 2207366834 3311050251 4414733668 5518417085 6622100502 8829467336 11036834170 13244201004 16555251255 22073668340 26488402008 33110502510 44147336680 66221005020 132442010040