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1271440132040 = 235132445077177
BaseRepresentation
bin10010100000000111101…
…111001100011111001000
311111112210211220211121202
4102200013233030133020
5131312402133211130
62412031434323332
7160600320543251
oct22400757143710
94445724824552
101271440132040
1145023a898731
121864b6889548
1392b861c27a0
14457764dbb28
152311696c145
hex12807bcc7c8

1271440132040 has 32 divisors (see below), whose sum is σ = 3080797244280. Its totient is φ = 469454817792.

The previous prime is 1271440131937. The next prime is 1271440132049. The reversal of 1271440132040 is 402310441721.

It can be written as a sum of positive squares in 4 ways, for example, as 825448565764 + 445991566276 = 908542^2 + 667826^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1271440131994 and 1271440132012.

It is not an unprimeable number, because it can be changed into a prime (1271440132049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1222538069 + ... + 1222539108.

Almost surely, 21271440132040 is an apocalyptic number.

1271440132040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1271440132040 is an abundant number, since it is smaller than the sum of its proper divisors (1809357112240).

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

1271440132040 is a wasteful number, since it uses less digits than its factorization.

1271440132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445077201 (or 2445077197 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

Adding to 1271440132040 its reverse (402310441721), we get a palindrome (1673750573761).

The spelling of 1271440132040 in words is "one trillion, two hundred seventy-one billion, four hundred forty million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2445077177 4890154354 9780308708 12225385885 19560617416 24450771770 31786003301 48901543540 63572006602 97803087080 127144013204 158930016505 254288026408 317860033010 635720066020 1271440132040