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2181242471409 = 32317215532
BaseRepresentation
bin11111101111011100001…
…011101100001111110001
321201112011112112100120100
4133233130023230033301
5241214141033041114
64350014324103013
7313406136043551
oct37573413541761
97645145470510
102181242471409
11771072568141
122b28a5834a69
1312a8c87207b1
14778036b3161
153bb14810909
hex1fbdc2ec3f1

2181242471409 has 27 divisors (see below), whose sum is σ = 3162690491233. Its totient is φ = 1448640984192.

The previous prime is 2181242471381. The next prime is 2181242471417. The reversal of 2181242471409 is 9041742421812.

The square root of 2181242471409 is 1476903.

It is a perfect power (a square), and thus also a powerful number.

2181242471409 is a `hidden beast` number, since 2 + 1 + 81 + 2 + 424 + 7 + 140 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1559384055009 + 621858416400 = 1248753^2 + 788580^2 .

It is not a de Polignac number, because 2181242471409 - 223 = 2181234082801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2181242476409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1404533977 + ... + 1404535529.

Almost surely, 22181242471409 is an apocalyptic number.

2181242471409 is the 1476903-rd square number.

2181242471409 is the 738452-nd centered octagonal number.

It is an amenable number.

2181242471409 is a deficient number, since it is larger than the sum of its proper divisors (981448019824).

2181242471409 is an frugal number, since it uses more digits than its factorization.

2181242471409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 2181242471409 in words is "two trillion, one hundred eighty-one billion, two hundred forty-two million, four hundred seventy-one thousand, four hundred nine".

Divisors: 1 3 9 317 951 1553 2853 4659 13977 100489 301467 492301 904401 1476903 2411809 4430709 7235427 21706281 156059417 468178251 764543453 1404534753 2293630359 6880891077 242360274601 727080823803 2181242471409