Search a number
-
+
41152226337 = 34967752501
BaseRepresentation
bin100110010100110111…
…010010010000100001
310221012222011200220000
4212110313102100201
51133234432220322
630523255010213
72654535103155
oct462467222041
9127188150800
1041152226337
11164a83a4812
127b85969969
133b5a9baab1
141dc5623065
15110cc373ac
hex994dd2421

41152226337 has 20 divisors (see below), whose sum is σ = 61481837076. Its totient is φ = 27431460000.

The previous prime is 41152226309. The next prime is 41152226351. The reversal of 41152226337 is 73362225114.

41152226337 is a `hidden beast` number, since 4 + 1 + 15 + 2 + 2 + 2 + 633 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19975864896 + 21176361441 = 141336^2 + 145521^2 .

It is not a de Polignac number, because 41152226337 - 210 = 41152225313 is a prime.

It is a super-3 number, since 3×411522263373 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (41152226377) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 757587 + ... + 810087.

Almost surely, 241152226337 is an apocalyptic number.

It is an amenable number.

41152226337 is a deficient number, since it is larger than the sum of its proper divisors (20329610739).

41152226337 is an equidigital number, since it uses as much as digits as its factorization.

41152226337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62190 (or 62181 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The spelling of 41152226337 in words is "forty-one billion, one hundred fifty-two million, two hundred twenty-six thousand, three hundred thirty-seven".

Divisors: 1 3 9 27 81 9677 29031 52501 87093 157503 261279 472509 783837 1417527 4252581 508052177 1524156531 4572469593 13717408779 41152226337