Search a number
-
+
40622805601 = 72287932
BaseRepresentation
bin100101110101010011…
…101101001001100001
310212212001222100011121
4211311103231021201
51131143414234401
630354543412241
72635446102400
oct456523551141
9125761870147
1040622805601
1116256573114
127a585b4081
133aa51045a1
141d751ad637
1510cb50bca1
hex9754ed261

40622805601 has 9 divisors (see below), whose sum is σ = 47256741651. Its totient is φ = 34818338352.

The previous prime is 40622805593. The next prime is 40622805607. The reversal of 40622805601 is 10650822604.

The square root of 40622805601 is 201551.

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

40622805601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11047061025 + 29575744576 = 105105^2 + 171976^2 .

It is not a de Polignac number, because 40622805601 - 23 = 40622805593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40622805607) 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, 1396461 + ... + 1425253.

Almost surely, 240622805601 is an apocalyptic number.

40622805601 is the 201551-st square number.

40622805601 is the 100776-th centered octagonal number.

It is an amenable number.

40622805601 is a deficient number, since it is larger than the sum of its proper divisors (6633936050).

40622805601 is an frugal number, since it uses more digits than its factorization.

40622805601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57600 (or 28800 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 40622805601 in words is "forty billion, six hundred twenty-two million, eight hundred five thousand, six hundred one".

Divisors: 1 7 49 28793 201551 1410857 829036849 5803257943 40622805601