Search a number
-
+
41222205444114 = 2342328193924581
BaseRepresentation
bin10010101111101110010101…
…11010011001000000010010
312101221210201101002120010000
421113313022322121000102
520400341034043202424
6223401115244350430
711453130451645632
oct1127671272310022
9171853641076100
1041222205444114
111215326a348a72
124759181245416
131a003114466c6
14a27245b826c2
154b743e0b83c9
hex257dcae99012

41222205444114 has 80 divisors (see below), whose sum is σ = 96418502642880. Its totient is φ = 13138646130720.

The previous prime is 41222205444097. The next prime is 41222205444151. The reversal of 41222205444114 is 41144450222214.

41222205444114 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 2 + 205 + 4 + 441 + 1 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8541304 + ... + 12465884.

It is an arithmetic number, because the mean of its divisors is an integer number (1205231283036).

Almost surely, 241222205444114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41222205444114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48209251321440).

41222205444114 is an abundant number, since it is smaller than the sum of its proper divisors (55196297198766).

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

41222205444114 is a wasteful number, since it uses less digits than its factorization.

41222205444114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927437 (or 3927428 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 41222205444114 its reverse (41144450222214), we get a palindrome (82366655666328).

The spelling of 41222205444114 in words is "forty-one trillion, two hundred twenty-two billion, two hundred five million, four hundred forty-four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1242 1863 2819 3726 5638 8457 16914 25371 50742 64837 76113 129674 152226 194511 228339 389022 456678 583533 1167066 1750599 3501198 3924581 5251797 7849162 10503594 11773743 23547486 35321229 70642458 90265363 105963687 180530726 211927374 270796089 317891061 541592178 635782122 812388267 1624776534 2437164801 4874329602 7311494403 11063393839 14622988806 22126787678 33190181517 66380363034 99570544551 199141089102 254458058297 298711633653 508916116594 597423267306 763374174891 896134900959 1526748349782 1792269801918 2290122524673 4580245049346 6870367574019 13740735148038 20611102722057 41222205444114