Search a number
-
+
41544500452100 = 2252415445004521
BaseRepresentation
bin10010111001000110101010…
…01100010001101100000100
312110002121121200000100012122
421130203111030101230010
520421131114103431400
6224205140253105112
711515330310215502
oct1134432514215404
9173077550010178
1041544500452100
1112267a184957a8
1247ab729188198
131a24825267b19
14a38a9bcd9672
154c0a03c2a685
hex25c8d5311b04

41544500452100 has 18 divisors (see below), whose sum is σ = 90151565981274. Its totient is φ = 16617800180800.

The previous prime is 41544500452099. The next prime is 41544500452151. The reversal of 41544500452100 is 125400544514.

It can be written as a sum of positive squares in 3 ways, for example, as 8950295236 + 41535550156864 = 94606^2 + 6444808^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 207722502161 + ... + 207722502360.

It is an arithmetic number, because the mean of its divisors is an integer number (5008420332293).

Almost surely, 241544500452100 is an apocalyptic number.

It is an amenable number.

41544500452100 is an abundant number, since it is smaller than the sum of its proper divisors (48607065529174).

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

41544500452100 is a wasteful number, since it uses less digits than its factorization.

41544500452100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415445004535 (or 415445004528 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

Adding to 41544500452100 its reverse (125400544514), we get a palindrome (41669900996614).

The spelling of 41544500452100 in words is "forty-one trillion, five hundred forty-four billion, five hundred million, four hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 415445004521 830890009042 1661780018084 2077225022605 4154450045210 8308900090420 10386125113025 20772250226050 41544500452100