Search a number
-
+
41834626000 = 245320917313
BaseRepresentation
bin100110111101100010…
…011011101111010000
310222222112020012020121
4212331202123233100
51141134131013000
631115113120024
73010462311436
oct467542335720
9128875205217
1041834626000
1116818612782
1281363b9014
133c391a708b
14204c0d8d56
15114caceb1a
hex9bd89bbd0

41834626000 has 40 divisors (see below), whose sum is σ = 101156130504. Its totient is φ = 16733849600.

The previous prime is 41834625887. The next prime is 41834626007. The reversal of 41834626000 is 62643814.

It can be written as a sum of positive squares in 4 ways, for example, as 10652716944 + 31181909056 = 103212^2 + 176584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41834626007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10456657 + ... + 10460656.

Almost surely, 241834626000 is an apocalyptic number.

41834626000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41834626000 is an abundant number, since it is smaller than the sum of its proper divisors (59321504504).

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

41834626000 is a wasteful number, since it uses less digits than its factorization.

41834626000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20917336 (or 20917320 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 41834626000 in words is "forty-one billion, eight hundred thirty-four million, six hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 20917313 41834626 83669252 104586565 167338504 209173130 334677008 418346260 522932825 836692520 1045865650 1673385040 2091731300 2614664125 4183462600 5229328250 8366925200 10458656500 20917313000 41834626000