Search a number
-
+
41438317349 = 111319113139971
BaseRepresentation
bin100110100101111010…
…101000101100100101
310221221220111121222102
4212211322220230211
51134331202123344
631011514541445
72664610612562
oct464572505445
9127856447872
1041438317349
1116634939170
128045737885
133ba5058a10
142011615869
151127de9e4e
hex9a5ea8b25

41438317349 has 64 divisors (see below), whose sum is σ = 52124083200. Its totient is φ = 32383411200.

The previous prime is 41438317337. The next prime is 41438317381. The reversal of 41438317349 is 94371383414.

41438317349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 41438317349 - 28 = 41438317093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41438317399) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42675434 + ... + 42676404.

It is an arithmetic number, because the mean of its divisors is an integer number (814438800).

Almost surely, 241438317349 is an apocalyptic number.

It is an amenable number.

41438317349 is a deficient number, since it is larger than the sum of its proper divisors (10685765851).

41438317349 is a wasteful number, since it uses less digits than its factorization.

41438317349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266.

The product of its digits is 870912, while the sum is 47.

The spelling of 41438317349 in words is "forty-one billion, four hundred thirty-eight million, three hundred seventeen thousand, three hundred forty-nine".

Divisors: 1 11 13 19 113 139 143 209 247 971 1243 1469 1529 1807 2147 2641 2717 10681 12623 15707 16159 18449 19877 23617 27911 29051 34333 109723 134969 138853 172777 202939 204191 239837 298433 307021 377663 1206953 1426399 1484659 1754597 2084737 2246101 2564411 2638207 3282763 3879629 15251497 15690389 19300567 22932107 27101581 28208521 33337343 42675919 167766467 198269461 289778443 298117391 366710773 2180964071 3187562873 3767119759 41438317349