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132114230144340 = 22357330163066243
BaseRepresentation
bin11110000010100000111101…
…110000011110110101010100
3122022202222220212000201020120
4132002200331300132311110
5114304024420404104330
61144552234531231540
736553636532340363
oct3602407560366524
9568688825021216
10132114230144340
113910636a784184
12129987584485b0
13589441a817a32
14248a5119737da
1510418dac04c10
hex78283dc1ed54

132114230144340 has 48 divisors (see below), whose sum is σ = 374987239545408. Its totient is φ = 34747852310784.

The previous prime is 132114230144329. The next prime is 132114230144341. The reversal of 132114230144340 is 43441032411231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132114230144341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15081528742 + ... + 15081537501.

It is an arithmetic number, because the mean of its divisors is an integer number (7812234157196).

Almost surely, 2132114230144340 is an apocalyptic number.

132114230144340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132114230144340 is an abundant number, since it is smaller than the sum of its proper divisors (242873009401068).

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

132114230144340 is a wasteful number, since it uses less digits than its factorization.

132114230144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30163066328 (or 30163066326 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 132114230144340 its reverse (43441032411231), we get a palindrome (175555262555571).

The spelling of 132114230144340 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred thirty million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 30163066243 60326132486 90489198729 120652264972 150815331215 180978397458 301630662430 361956794916 452445993645 603261324860 904891987290 1809783974580 2201903835739 4403807671478 6605711507217 8807615342956 11009519178695 13211423014434 22019038357390 26422846028868 33028557536085 44038076714780 66057115072170 132114230144340