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132234142312441 = 13128961131290901
BaseRepresentation
bin11110000100010000101001…
…000101000110011111111001
3122100012110102201221000000201
4132010100221011012133321
5114313011010412444231
61145123305405202201
736565413214060201
oct3604205105063771
9570173381830021
10132234142312441
1139152203aa8954
12129b7a42860361
1358a281a75bc60
142492249375401
151044aa810b161
hex7844291467f9

132234142312441 has 16 divisors (see below), whose sum is σ = 142539901393680. Its totient is φ = 121947543244800.

The previous prime is 132234142312399. The next prime is 132234142312511. The reversal of 132234142312441 is 144213241432231.

It can be written as a sum of positive squares in 8 ways, for example, as 2915829456400 + 129318312856041 = 1707580^2 + 11371821^2 .

It is not a de Polignac number, because 132234142312441 - 231 = 132231994828793 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132234142312441.

It is not an unprimeable number, because it can be changed into a prime (132234142312541) 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, 101790091 + ... + 103080991.

It is an arithmetic number, because the mean of its divisors is an integer number (8908743837105).

Almost surely, 2132234142312441 is an apocalyptic number.

It is an amenable number.

132234142312441 is a deficient number, since it is larger than the sum of its proper divisors (10305759081239).

132234142312441 is a wasteful number, since it uses less digits than its factorization.

132234142312441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298316.

The product of its digits is 110592, while the sum is 37.

Adding to 132234142312441 its reverse (144213241432231), we get a palindrome (276447383744672).

The spelling of 132234142312441 in words is "one hundred thirty-two trillion, two hundred thirty-four billion, one hundred forty-two million, three hundred twelve thousand, four hundred forty-one".

Divisors: 1 13 1289 6113 16757 79469 1290901 7879657 16781713 102435541 1663971389 7891277813 21631628057 102586611569 10171857100957 132234142312441