Search a number
-
+
41020874496 = 283372313907
BaseRepresentation
bin100110001101000010…
…001101111100000000
310220212211000100001000
4212031002031330000
51133002320440441
630502243412000
72651351452200
oct461502157400
9126784010030
1041020874496
111644023a178
127b49984000
133b3971ac04
141db1dd0400
15110143d2b6
hex98d08df00

41020874496 has 432 divisors, whose sum is σ = 145700244480. Its totient is φ = 11339274240.

The previous prime is 41020874441. The next prime is 41020874497. The reversal of 41020874496 is 69447802014.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41020874497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10497375 + ... + 10501281.

Almost surely, 241020874496 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 41020874496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72850122240).

41020874496 is an abundant number, since it is smaller than the sum of its proper divisors (104679369984).

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

41020874496 is a wasteful number, since it uses less digits than its factorization.

41020874496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 41020874496 in words is "forty-one billion, twenty million, eight hundred seventy-four thousand, four hundred ninety-six".