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132113142615240 = 2334540775661301
BaseRepresentation
bin11110000010011111111100…
…111011111000110011001000
3122022202220010001122111210000
4132002133330323320303020
5114304020204002141430
61144551535001523000
736553600555444533
oct3602377473706310
9568686101574700
10132113142615240
11391059619074a6
12129984b41a3460
1358942a64124a7
14248a44b35da1a
1510418754d3e60
hex7827fcef8cc8

132113142615240 has 80 divisors (see below), whose sum is σ = 444046951578780. Its totient is φ = 35230171363200.

The previous prime is 132113142615217. The next prime is 132113142615247. The reversal of 132113142615240 is 42516241311231.

132113142615240 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 3 + 14 + 2 + 615 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119101120915716 + 13012021699524 = 10913346^2 + 3607218^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 132113142615195 and 132113142615204.

It is not an unprimeable number, because it can be changed into a prime (132113142615247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20387827411 + ... + 20387833890.

Almost surely, 2132113142615240 is an apocalyptic number.

132113142615240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132113142615240 is an abundant number, since it is smaller than the sum of its proper divisors (311933808963540).

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

132113142615240 is a wasteful number, since it uses less digits than its factorization.

132113142615240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40775661324 (or 40775661311 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 132113142615240 its reverse (42516241311231), we get a palindrome (174629383926471).

The spelling of 132113142615240 in words is "one hundred thirty-two trillion, one hundred thirteen billion, one hundred forty-two million, six hundred fifteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 40775661301 81551322602 122326983903 163102645204 203878306505 244653967806 326205290408 366980951709 407756613010 489307935612 611634919515 733961903418 815513226020 978615871224 1100942855127 1223269839030 1467923806836 1631026452040 1834904758545 2201885710254 2446539678060 2935847613672 3302828565381 3669809517090 4403771420508 4893079356120 5504714275635 6605657130762 7339619034180 8807542841016 11009428551270 13211314261524 14679238068360 16514142826905 22018857102540 26422628523048 33028285653810 44037714205080 66056571307620 132113142615240