Search a number
-
+
422144303441224 = 2371324115591543357
BaseRepresentation
bin101111111111100000010000…
…1010000000010010101001000
32001100200121020022221211001211
41133333000201100002111020
5420312403013140104344
64053454225445422504
7154626630241326430
oct13777004120022510
92040617208854054
10422144303441224
11112565437016751
123b41a48910aa34
13151720633b0760
147635c713252c0
1533c0e1e8c7334
hex17ff021402548

422144303441224 has 128 divisors (see below), whose sum is σ = 978849500428800. Its totient is φ = 166202402549760.

The previous prime is 422144303441183. The next prime is 422144303441239.

422144303441224 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272751754 + ... + 274295110.

It is an arithmetic number, because the mean of its divisors is an integer number (7647261722100).

Almost surely, 2422144303441224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422144303441224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489424750214400).

422144303441224 is an abundant number, since it is smaller than the sum of its proper divisors (556705196987576).

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

422144303441224 is a wasteful number, since it uses less digits than its factorization.

422144303441224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545183 (or 1545179 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

It can be divided in two parts, 42214430 and 3441224, that added together give a palindrome (45655654).

The spelling of 422144303441224 in words is "four hundred twenty-two trillion, one hundred forty-four billion, three hundred three million, four hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 241 364 482 728 964 1559 1687 1928 3118 3133 3374 6236 6266 6748 10913 12472 12532 13496 20267 21826 21931 25064 40534 43652 43862 81068 87304 87724 141869 162136 175448 283738 375719 567476 751438 1134952 1502876 1543357 2630033 3005752 3086714 4884347 5260066 6173428 9768694 10520132 10803499 12346856 19537388 20063641 21040264 21606998 34190429 39074776 40127282 43213996 68380858 80254564 86427992 136761716 140445487 160509128 273523432 280890974 371949037 561781948 743898074 1123563896 1487796148 2406093563 2603643259 2975592296 4812187126 4835337481 5207286518 9624374252 9670674962 10414573036 16842654941 19248748504 19341349924 20829146072 31279216319 33685309882 33847362367 38682699848 62558432638 67370619764 67694724734 125116865276 134741239528 135389449468 218954514233 250233730552 270778898936 437909028466 579868548683 875818056932 1159737097366 1751636113864 2319474194732 4059079840781 4638948389464 7538291132879 8118159681562 15076582265758 16236319363124 30153164531516 32472638726248 52768037930153 60306329063032 105536075860306 211072151720612 422144303441224