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132333041400240 = 24354812071145843
BaseRepresentation
bin11110000101101100101111…
…111011001011100110110000
3122100112220201012000012122110
4132011230233323023212300
5114321121032044301430
61145240543204005320
736605514062333142
oct3605545773134660
9570486635005573
10132333041400240
1139190144a5635a
1212a13043990840
1358abc4c15b755
142496d4c0dac92
15104744587e7b0
hex785b2fecb9b0

132333041400240 has 80 divisors (see below), whose sum is σ = 410233638866688. Its totient is φ = 35288706908928.

The previous prime is 132333041400211. The next prime is 132333041400271. The reversal of 132333041400240 is 42004140333231.

It is a happy number.

132333041400240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132333041400198 and 132333041400207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114916759 + ... + 116062601.

Almost surely, 2132333041400240 is an apocalyptic number.

132333041400240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132333041400240 is an abundant number, since it is smaller than the sum of its proper divisors (277900597466448).

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

132333041400240 is a wasteful number, since it uses less digits than its factorization.

132333041400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627066 (or 1627060 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 132333041400240 its reverse (42004140333231), we get a palindrome (174337181733471).

The spelling of 132333041400240 in words is "one hundred thirty-two trillion, three hundred thirty-three billion, forty-one million, four hundred 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 481207 962414 1145843 1443621 1924828 2291686 2406035 2887242 3437529 3849656 4583372 4812070 5729215 5774484 6875058 7218105 7699312 9166744 9624140 11458430 11548968 13750116 14436210 17187645 18333488 19248280 22916860 23097936 27500232 28872420 34375290 38496560 45833720 55000464 57744840 68750580 91667440 115489680 137501160 275002320 551387672501 1102775345002 1654163017503 2205550690004 2756938362505 3308326035006 4411101380008 5513876725010 6616652070012 8270815087515 8822202760016 11027753450020 13233304140024 16541630175030 22055506900040 26466608280048 33083260350060 44111013800080 66166520700120 132333041400240