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41241257456 = 2471127932647
BaseRepresentation
bin100110011010001010…
…111010010111110000
310221110011200221121212
4212122022322113300
51133430230214311
630540155135252
72656665622130
oct463212722760
9127404627555
1041241257456
1116543684153
127bab744528
133b73290a29
141dd339aac0
151115971c8b
hex99a2ba5f0

41241257456 has 40 divisors (see below), whose sum is σ = 91330821120. Its totient is φ = 17672716224.

The previous prime is 41241257441. The next prime is 41241257459. The reversal of 41241257456 is 65475214214.

It is a happy number.

41241257456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41241257459) 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, 1246925 + ... + 1279571.

It is an arithmetic number, because the mean of its divisors is an integer number (2283270528).

Almost surely, 241241257456 is an apocalyptic number.

It is an amenable number.

41241257456 is an abundant number, since it is smaller than the sum of its proper divisors (50089563664).

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

41241257456 is a wasteful number, since it uses less digits than its factorization.

41241257456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43941 (or 43935 counting only the distinct ones).

The product of its digits is 268800, while the sum is 41.

The spelling of 41241257456 in words is "forty-one billion, two hundred forty-one million, two hundred fifty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 11279 22558 32647 45116 65294 78953 90232 130588 157906 180464 228529 261176 315812 457058 522352 631624 914116 1263248 1828232 3656464 368225513 736451026 1472902052 2577578591 2945804104 5155157182 5891608208 10310314364 20620628728 41241257456