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132123403440 = 24325726214961
BaseRepresentation
bin111101100001100101…
…0110010010010110000
3110122000220111022112200
41323003022302102300
54131042042402230
6140410251023200
712355066253640
oct1730312622260
9418026438480
10132123403440
1151040242606
1221733a3ab00
13c5c7a97c82
1465754c8520
1536844a0160
hex1ec32b24b0

132123403440 has 120 divisors (see below), whose sum is σ = 507102224928. Its totient is φ = 30199633920.

The previous prime is 132123403411. The next prime is 132123403493. The reversal of 132123403440 is 44304321231.

132123403440 is a `hidden beast` number, since 1 + 3 + 212 + 3 + 4 + 0 + 3 + 440 = 666.

132123403440 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 (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13102441 + ... + 13112520.

Almost surely, 2132123403440 is an apocalyptic number.

132123403440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132123403440 is an abundant number, since it is smaller than the sum of its proper divisors (374978821488).

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

132123403440 is a wasteful number, since it uses less digits than its factorization.

132123403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26214987 (or 26214978 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 132123403440 its reverse (44304321231), we get a palindrome (176427724671).

The spelling of 132123403440 in words is "one hundred thirty-two billion, one hundred twenty-three million, four hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 26214961 52429922 78644883 104859844 131074805 157289766 183504727 209719688 235934649 262149610 314579532 367009454 393224415 419439376 471869298 524299220 550514181 629159064 734018908 786448830 917523635 943738596 1048598440 1101028362 1179673245 1258318128 1468037816 1572897660 1651542543 1835047270 1887477192 2097196880 2202056724 2359346490 2752570905 2936075632 3145795320 3303085086 3670094540 3774954384 4404113448 4718692980 5505141810 6291590640 6606170172 7340189080 8257712715 8808226896 9437385960 11010283620 13212340344 14680378160 16515425430 18874771920 22020567240 26424680688 33030850860 44041134480 66061701720 132123403440