Search a number
-
+
45131178481 = 109219492
BaseRepresentation
bin101010000010000001…
…110010000111110001
311022111021021102002221
4222002001302013301
51214412040202411
632422153441041
73155251454554
oct520201620761
9138437242087
1045131178481
111815a412414
1288b6410181
13434315014c
142281c5869b
151292201071
hexa820721f1

45131178481 has 9 divisors (see below), whose sum is σ = 45572407041. Its totient is φ = 44694187344.

The previous prime is 45131178467. The next prime is 45131178487. The reversal of 45131178481 is 18487113154.

The square root of 45131178481 is 212441.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11568938481 + 33562240000 = 107559^2 + 183200^2 .

It is not a de Polignac number, because 45131178481 - 221 = 45129081329 is a prime.

It is a super-2 number, since 2×451311784812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45131178487) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23155095 + ... + 23157043.

Almost surely, 245131178481 is an apocalyptic number.

45131178481 is the 212441-st square number.

45131178481 is the 106221-st centered octagonal number.

It is an amenable number.

45131178481 is a deficient number, since it is larger than the sum of its proper divisors (441228560).

45131178481 is an frugal number, since it uses more digits than its factorization.

45131178481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4116 (or 2058 counting only the distinct ones).

The product of its digits is 107520, while the sum is 43.

The spelling of 45131178481 in words is "forty-five billion, one hundred thirty-one million, one hundred seventy-eight thousand, four hundred eighty-one".

Divisors: 1 109 1949 11881 212441 3798601 23156069 414047509 45131178481