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132114201334340 = 22531792697309133
BaseRepresentation
bin11110000010100000111100…
…000010100101001001000100
3122022202222211211211000100112
4132002200330002211021010
5114304024341020144330
61144552232021532152
736553636032426251
oct3602407402451104
9568688754730315
10132114201334340
1139106355496865
121299874a874058
13589441486b5b4
14248a50bbd4428
1510418d8413795
hex78283c0a5244

132114201334340 has 48 divisors (see below), whose sum is σ = 290014678087680. Its totient is φ = 50493626951040.

The previous prime is 132114201334327. The next prime is 132114201334399. The reversal of 132114201334340 is 43433102411231.

It is a junction number, because it is equal to n+sod(n) for n = 132114201334297 and 132114201334306.

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 15 ways as a sum of consecutive naturals, for example, 1348605587 + ... + 1348703546.

It is an arithmetic number, because the mean of its divisors is an integer number (6041972460160).

Almost surely, 2132114201334340 is an apocalyptic number.

132114201334340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132114201334340 is an abundant number, since it is smaller than the sum of its proper divisors (157900476753340).

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

132114201334340 is a wasteful number, since it uses less digits than its factorization.

132114201334340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697309252 (or 2697309250 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 132114201334340 its reverse (43433102411231), we get a palindrome (175547303745571).

The spelling of 132114201334340 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred one million, three hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 79 124 155 158 310 316 395 620 790 1580 2449 4898 9796 12245 24490 48980 2697309133 5394618266 10789236532 13486545665 26973091330 53946182660 83616583123 167233166246 213087421507 334466332492 418082915615 426174843014 836165831230 852349686028 1065437107535 1672331662460 2130874215070 4261748430140 6605710066717 13211420133434 26422840266868 33028550333585 66057100667170 132114201334340