Search a number
-
+
41939753991174 = 232131759773231169
BaseRepresentation
bin10011000100100110111000…
…01000110111110000000110
312111111101211120021111212100
421202103130020313300012
520444120104010204144
6225110505040132530
711556022125654144
oct1142233410676006
9174441746244770
1041939753991174
11123aa605840816
124854256907146
131a52b95428ab0
14a4dc75958594
154cae38aa0269
hex2624dc237c06

41939753991174 has 192 divisors, whose sum is σ = 105508836014400. Its totient is φ = 11924096679936.

The previous prime is 41939753991167. The next prime is 41939753991193. The reversal of 41939753991174 is 47119935793914.

41939753991174 is a `hidden beast` number, since 4 + 1 + 9 + 3 + 9 + 7 + 539 + 9 + 11 + 74 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181309062 + ... + 181540230.

It is an arithmetic number, because the mean of its divisors is an integer number (549525187575).

Almost surely, 241939753991174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41939753991174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52754418007200).

41939753991174 is an abundant number, since it is smaller than the sum of its proper divisors (63569082023226).

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

41939753991174 is a wasteful number, since it uses less digits than its factorization.

41939753991174 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232039 (or 232036 counting only the distinct ones).

The product of its digits is 231472080, while the sum is 72.

The spelling of 41939753991174 in words is "forty-one trillion, nine hundred thirty-nine billion, seven hundred fifty-three million, nine hundred ninety-one thousand, one hundred seventy-four".