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132304344432 = 243131712472129
BaseRepresentation
bin111101100110111110…
…1000001010101110000
3110122111111222001220220
41323031331001111300
54131424403010212
6140440233133040
712362424241461
oct1731575012560
9418444861826
10132304344432
1151123398217
122178455a180
13c62640b250
146591548d68
1536952e238c
hex1ecdf41570

132304344432 has 80 divisors (see below), whose sum is σ = 389729118240. Its totient is φ = 38314377216.

The previous prime is 132304344409. The next prime is 132304344433. The reversal of 132304344432 is 234443403231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132304344393 and 132304344402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132304344433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6225457 + ... + 6246672.

It is an arithmetic number, because the mean of its divisors is an integer number (4871613978).

Almost surely, 2132304344432 is an apocalyptic number.

132304344432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132304344432 is an abundant number, since it is smaller than the sum of its proper divisors (257424773808).

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

132304344432 is a wasteful number, since it uses less digits than its factorization.

132304344432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12472170 (or 12472164 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 132304344432 its reverse (234443403231), we get a palindrome (366747747663).

The spelling of 132304344432 in words is "one hundred thirty-two billion, three hundred four million, three hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 408 442 624 663 816 884 1326 1768 2652 3536 5304 10608 12472129 24944258 37416387 49888516 74832774 99777032 149665548 162137677 199554064 212026193 299331096 324275354 424052386 486413031 598662192 636078579 648550708 848104772 972826062 1272157158 1297101416 1696209544 1945652124 2544314316 2594202832 2756340509 3392419088 3891304248 5088628632 5512681018 7782608496 8269021527 10177257264 11025362036 16538043054 22050724072 33076086108 44101448144 66152172216 132304344432