Search a number
-
+
41404162900 = 2252617367073
BaseRepresentation
bin100110100011111000…
…010110001101010100
310221212112020101212211
4212203320112031110
51134243431203100
631004254523204
72664014402122
oct464370261524
9127775211784
1041404162900
1116617630451
128036206504
133b9ac5aa99
14200ac84912
151124e001ba
hex9a3e16354

41404162900 has 36 divisors (see below), whose sum is σ = 89862928092. Its totient is φ = 16558735360.

The previous prime is 41404162897. The next prime is 41404162901. The reversal of 41404162900 is 926140414.

It can be written as a sum of positive squares in 6 ways, for example, as 1985237136 + 39418925764 = 44556^2 + 198542^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41404162901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 583764 + ... + 650836.

It is an arithmetic number, because the mean of its divisors is an integer number (2496192447).

Almost surely, 241404162900 is an apocalyptic number.

It is an amenable number.

41404162900 is an abundant number, since it is smaller than the sum of its proper divisors (48458765192).

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

41404162900 is a wasteful number, since it uses less digits than its factorization.

41404162900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73260 (or 73253 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

It can be divided in two parts, 41404 and 162900, that added together give a square (204304 = 4522).

The spelling of 41404162900 in words is "forty-one billion, four hundred four million, one hundred sixty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 6173 12346 24692 30865 61730 67073 123460 134146 154325 268292 308650 335365 617300 670730 1341460 1676825 3353650 6707300 414041629 828083258 1656166516 2070208145 4140416290 8280832580 10351040725 20702081450 41404162900