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41494781250 = 2345613297
BaseRepresentation
bin100110101001010010…
…000001110101000010
310222002211202021220000
4212221102001311002
51134440131000000
631021253100430
72666164551426
oct465122016502
9128084667800
1041494781250
11166637a434a
128060627716
133bb3968300
142018d12b86
15112cd50000
hex9a9481d42

41494781250 has 420 divisors, whose sum is σ = 127147630302. Its totient is φ = 10108800000.

The previous prime is 41494781249. The next prime is 41494781281. The reversal of 41494781250 is 5218749414.

41494781250 is a `hidden beast` number, since 41 + 494 + 78 + 1 + 2 + 50 = 666.

It can be written as a sum of positive squares in 21 ways, for example, as 33672617001 + 7822164249 = 183501^2 + 88443^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 41494781196 and 41494781205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 427781202 + ... + 427781298.

Almost surely, 241494781250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41494781250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63573815151).

41494781250 is an abundant number, since it is smaller than the sum of its proper divisors (85652849052).

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

41494781250 is an frugal number, since it uses more digits than its factorization.

41494781250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 41494781250 in words is "forty-one billion, four hundred ninety-four million, seven hundred eighty-one thousand, two hundred fifty".