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132434202243525 = 35271372353268189
BaseRepresentation
bin11110000111001010111101…
…100101001011000111000101
3122100220120211020222111111220
4132013022331211023013011
5114324300221233243100
61145355233235550553
736616024663323330
oct3607127545130705
9570816736874456
10132434202243525
113921a036683176
1212a2a77645b459
1358b86513028c0
14249bbc73b7617
151049db696caa0
hex7872bd94b1c5

132434202243525 has 96 divisors (see below), whose sum is σ = 269491352282880. Its totient is φ = 55883341946880.

The previous prime is 132434202243521. The next prime is 132434202243589. The reversal of 132434202243525 is 525342202434231.

It is not a de Polignac number, because 132434202243525 - 22 = 132434202243521 is a prime.

It is a super-4 number, since 4×1324342022435254 (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132434202243521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 493675131 + ... + 493943319.

It is an arithmetic number, because the mean of its divisors is an integer number (2807201586280).

Almost surely, 2132434202243525 is an apocalyptic number.

132434202243525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132434202243525 is an abundant number, since it is smaller than the sum of its proper divisors (137057150039355).

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

132434202243525 is a wasteful number, since it uses less digits than its factorization.

132434202243525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340575 (or 340570 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

Adding to 132434202243525 its reverse (525342202434231), we get a palindrome (657776404677756).

The spelling of 132434202243525 in words is "one hundred thirty-two trillion, four hundred thirty-four billion, two hundred two million, two hundred forty-three thousand, five hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 65 75 91 105 175 195 273 325 455 525 975 1365 2275 6825 72353 217059 268189 361765 506471 804567 940589 1085295 1340945 1519413 1808825 1877323 2532355 2821767 3486457 4022835 4702945 5426475 5631969 6584123 6704725 7597065 9386615 10459371 12661775 14108835 17432285 19752369 20114175 23514725 24405199 28159845 32920615 37985325 46933075 52296855 70544175 73215597 87161425 98761845 122025995 140799225 164603075 261484275 366077985 493809225 610129975 1830389925 19404278717 58212836151 97021393585 135829951019 252255623321 291064180755 407489853057 485106967925 679149755095 756766869963 1261278116605 1455320903775 1765789363247 2037449265285 3395748775475 3783834349815 5297368089741 6306390583025 8828946816235 10187246326425 18919171749075 26486840448705 44144734081175 132434202243525