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41448422484414 = 23311312441992179
BaseRepresentation
bin10010110110010011101100…
…11111111010100110111110
312102202102121211100212212000
421123021312133322212332
520413042332124000124
6224053050432523130
711505356356033521
oct1133116637724676
9172672554325760
1041448422484414
11122301a4a30620
124794b949b04a6
131a1875317b77a
14a34185ad4bb8
154bd27deb46c9
hex25b2767fa9be

41448422484414 has 128 divisors (see below), whose sum is σ = 103727720448000. Its totient is φ = 12154332981600.

The previous prime is 41448422484347. The next prime is 41448422484419.

41448422484414 is a `hidden beast` number, since 4 + 1 + 44 + 84 + 2 + 2 + 484 + 41 + 4 = 666.

41448422484414 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41448422484419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449605377 + ... + 449697555.

It is an arithmetic number, because the mean of its divisors is an integer number (810372816000).

Almost surely, 241448422484414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41448422484414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51863860224000).

41448422484414 is an abundant number, since it is smaller than the sum of its proper divisors (62279297963586).

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

41448422484414 is a wasteful number, since it uses less digits than its factorization.

41448422484414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116651 (or 116645 counting only the distinct ones).

The product of its digits is 16777216, while the sum is 54.

The spelling of 41448422484414 in words is "forty-one trillion, four hundred forty-eight billion, four hundred twenty-two million, four hundred eighty-four thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 2046 3069 6138 9207 18414 24419 48838 73257 92179 146514 184358 219771 268609 276537 439542 537218 553074 659313 756989 805827 829611 1013969 1318626 1513978 1611654 1659222 2027938 2270967 2417481 2488833 2857549 3041907 4541934 4834962 4977666 5715098 6083814 6812901 7252443 8326879 8572647 9125721 13625802 14504886 16653758 17145294 18251442 20438703 24980637 25717941 27377163 31433039 40877406 49961274 51435882 54754326 62866078 74941911 77153823 94299117 149883822 154307646 188598234 224825733 282897351 449651466 565794702 848692053 1697384106 2250919001 4501838002 6752757003 13505514006 20258271009 24760109011 40516542018 49520218022 60774813027 69778489031 74280327033 121549626054 139556978062 148560654066 209335467093 222840981099 418670934186 445681962198 628006401279 668522943297 767563379341 1256012802558 1337045886594 1535126758682 1884019203837 2302690138023 3768038407674 4605380276046 6908070414069 13816140828138 20724211242207 41448422484414