Search a number
-
+
41046403104 = 2533721039413
BaseRepresentation
bin100110001110100011…
…100110100000100000
310220221121001022201000
4212032203212200200
51133030334344404
630504554512000
72652111445500
oct461643464040
9126847038630
1041046403104
11164536961a3
127b56435600
133b41ab88b5
141db5557a00
1511037d2339
hex98e8e6820

41046403104 has 288 divisors, whose sum is σ = 140631603840. Its totient is φ = 11612450304.

The previous prime is 41046403087. The next prime is 41046403127. The reversal of 41046403104 is 40130464014.

41046403104 is a `hidden beast` number, since 4 + 1 + 0 + 4 + 640 + 3 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4355902 + ... + 4365314.

It is an arithmetic number, because the mean of its divisors is an integer number (488304180).

Almost surely, 241046403104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41046403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70315801920).

41046403104 is an abundant number, since it is smaller than the sum of its proper divisors (99585200736).

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

41046403104 is a wasteful number, since it uses less digits than its factorization.

41046403104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9549 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41046403104 its reverse (40130464014), we get a palindrome (81176867118).

The spelling of 41046403104 in words is "forty-one billion, forty-six million, four hundred three thousand, one hundred four".