Search a number
-
+
7131136410 = 2325109372493
BaseRepresentation
bin1101010010000110…
…01000000110011010
3200101222111021010100
412221003020012122
5104101032331120
63135341000230
7341500442106
oct65103100632
920358437110
107131136410
11302a382372
121470253076
1389852ba58
144b9134906
152bb0be490
hex1a90c819a

7131136410 has 48 divisors (see below), whose sum is σ = 18558174024. Its totient is φ = 1899870336.

The previous prime is 7131136399. The next prime is 7131136417. The reversal of 7131136410 is 146311317.

7131136410 is a `hidden beast` number, since 7 + 1 + 3 + 1 + 13 + 641 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7125216921 + 5919489 = 84411^2 + 2433^2 .

It is not an unprimeable number, because it can be changed into a prime (7131136417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62124 + ... + 134616.

Almost surely, 27131136410 is an apocalyptic number.

7131136410 is an abundant number, since it is smaller than the sum of its proper divisors (11427037614).

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

7131136410 is a wasteful number, since it uses less digits than its factorization.

7131136410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73599 (or 73596 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 7131136410 is about 84446.0562134195. The cubic root of 7131136410 is about 1924.8028277275.

Adding to 7131136410 its reverse (146311317), we get a palindrome (7277447727).

The spelling of 7131136410 in words is "seven billion, one hundred thirty-one million, one hundred thirty-six thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1093 2186 3279 5465 6558 9837 10930 16395 19674 32790 49185 72493 98370 144986 217479 362465 434958 652437 724930 1087395 1304874 2174790 3262185 6524370 79234849 158469698 237704547 396174245 475409094 713113641 792348490 1188522735 1426227282 2377045470 3565568205 7131136410