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41070249540 = 22325228168053
BaseRepresentation
bin100110001111111110…
…100100011001000100
310221000020220211212100
4212033332210121010
51133102440441130
630511205552100
72652521234565
oct461776443104
9127006824770
1041070249540
11164660a33a1
127b62415630
133b46a17a08
141db87a416c
151105942c60
hex98ffa4644

41070249540 has 36 divisors (see below), whose sum is σ = 124579757484. Its totient is φ = 10952066496.

The previous prime is 41070249499. The next prime is 41070249541. The reversal of 41070249540 is 4594207014.

It is a happy number.

41070249540 is a `hidden beast` number, since 4 + 1 + 0 + 70 + 2 + 49 + 540 = 666.

41070249540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8282456064 + 32787793476 = 91008^2 + 181074^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41070249495 and 41070249504.

It is not an unprimeable number, because it can be changed into a prime (41070249541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114083847 + ... + 114084206.

It is an arithmetic number, because the mean of its divisors is an integer number (3460548819).

Almost surely, 241070249540 is an apocalyptic number.

It is an amenable number.

41070249540 is an abundant number, since it is smaller than the sum of its proper divisors (83509507944).

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

41070249540 is a wasteful number, since it uses less digits than its factorization.

41070249540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228168068 (or 228168063 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 41070249540 in words is "forty-one billion, seventy million, two hundred forty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 228168053 456336106 684504159 912672212 1140840265 1369008318 2053512477 2281680530 2738016636 3422520795 4107024954 4563361060 6845041590 8214049908 10267562385 13690083180 20535124770 41070249540