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41042224014 = 23112411917219
BaseRepresentation
bin100110001110010011…
…101010001110001110
310220221022012000001220
4212032103222032032
51133023302132024
630504325144210
72652031101531
oct461623521616
9126838160056
1041042224014
11164512a1400
127b54b5b066
133b40c8466c
141db4b8aa18
151103258e79
hex98e4ea38e

41042224014 has 96 divisors (see below), whose sum is σ = 92922439680. Its totient is φ = 12068496000.

The previous prime is 41042224001. The next prime is 41042224037.

41042224014 is nontrivially palindromic in base 10.

41042224014 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5681697 + ... + 5688915.

It is an arithmetic number, because the mean of its divisors is an integer number (967942080).

Almost surely, 241042224014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41042224014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46461219840).

41042224014 is an abundant number, since it is smaller than the sum of its proper divisors (51880215666).

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

41042224014 is a wasteful number, since it uses less digits than its factorization.

41042224014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7478 (or 7467 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 41042224014 in words is "forty-one billion, forty-two million, two hundred twenty-four thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 41 66 82 121 123 191 242 246 363 382 451 573 726 902 1146 1353 2101 2706 4202 4961 6303 7219 7831 9922 12606 14438 14883 15662 21657 23111 23493 29766 43314 46222 46986 69333 79409 86141 138666 158818 172282 238227 258423 295979 476454 516846 591958 873499 887937 947551 1378829 1746998 1775874 1895102 2620497 2757658 2842653 3255769 4136487 5240994 5685306 6511538 8272974 9767307 15167119 19534614 30334238 35813459 45501357 56531989 71626918 91002714 107440377 113063978 166838309 169595967 214880754 333676618 339191934 500514927 621851879 1001029854 1243703758 1865555637 3731111274 6840370669 13680741338 20521112007 41042224014