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131412333210440 = 2353285308330261
BaseRepresentation
bin11101111000010011010001…
…011100001010101101001000
3122020021220012110010002101112
4131320103101130022231020
5114211024424300213230
61143253554212105452
736452141060004332
oct3570232134125510
9566256173102345
10131412333210440
1138965726204017
12128a4710605288
13584318c37b9c9
142464568762452
15102d50a347d95
hex7784d170ab48

131412333210440 has 16 divisors (see below), whose sum is σ = 295677749723580. Its totient is φ = 52564933284160.

The previous prime is 131412333210421. The next prime is 131412333210493. The reversal of 131412333210440 is 44012333214131.

It can be written as a sum of positive squares in 2 ways, for example, as 131033854788004 + 378478422436 = 11447002^2 + 615206^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131412333210397 and 131412333210406.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1642654165091 + ... + 1642654165170.

Almost surely, 2131412333210440 is an apocalyptic number.

131412333210440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131412333210440 is an abundant number, since it is smaller than the sum of its proper divisors (164265416513140).

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

131412333210440 is a wasteful number, since it uses less digits than its factorization.

131412333210440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285308330272 (or 3285308330268 counting only the distinct ones).

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

Adding to 131412333210440 its reverse (44012333214131), we get a palindrome (175424666424571).

The spelling of 131412333210440 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred thirty-three million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 3285308330261 6570616660522 13141233321044 16426541651305 26282466642088 32853083302610 65706166605220 131412333210440