Search a number
-
+
40170180625 = 5480172
BaseRepresentation
bin100101011010010101…
…000101000000010001
310211200112021121102121
4211122111011000101
51124232031240000
630242014214241
72621311621141
oct453225050021
9124615247377
1040170180625
1116044024293
127950ab4381
133a323c8b63
141d3102a921
1510a1900b1a
hex95a545011

40170180625 has 15 divisors (see below), whose sum is σ = 50202919767. Its totient is φ = 32132136000.

The previous prime is 40170180619. The next prime is 40170180629. The reversal of 40170180625 is 52608107104.

The square root of 40170180625 is 200425.

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

It can be written as a sum of positive squares in 7 ways, for example, as 28108869649 + 12061310976 = 167657^2 + 109824^2 .

It is a de Polignac number, because none of the positive numbers 2k-40170180625 is a prime.

It is a super-2 number, since 2×401701806252 (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 (40170180629) 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 14 ways as a sum of consecutive naturals, for example, 5006617 + ... + 5014633.

Almost surely, 240170180625 is an apocalyptic number.

40170180625 is the 200425-th square number.

40170180625 is the 100213-rd centered octagonal number.

It is an amenable number.

40170180625 is a deficient number, since it is larger than the sum of its proper divisors (10032739142).

40170180625 is an frugal number, since it uses more digits than its factorization.

40170180625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16054 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

Adding to 40170180625 its reverse (52608107104), we get a palindrome (92778287729).

The spelling of 40170180625 in words is "forty billion, one hundred seventy million, one hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 8017 40085 200425 1002125 5010625 64272289 321361445 1606807225 8034036125 40170180625