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2231428241322 = 232726431670037
BaseRepresentation
bin100000011110001011011…
…111001101011110101010
321220022201001220121121100
4200132023133031132222
5243024431112210242
64425034243222230
7320133605045550
oct40361337153652
97808631817540
102231428241322
11790386083945
12300570977976
13132565b04737
147a00495dbd0
153d0a064d54c
hex2078b7cd7aa

2231428241322 has 48 divisors (see below), whose sum is σ = 5525658657792. Its totient is φ = 637525853280.

The previous prime is 2231428241299. The next prime is 2231428241353.

2231428241322 is a `hidden beast` number, since 2 + 2 + 3 + 14 + 282 + 41 + 322 = 666.

2231428241322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×22314282413223 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2995288 + ... + 3665324.

It is an arithmetic number, because the mean of its divisors is an integer number (115117888704).

Almost surely, 22231428241322 is an apocalyptic number.

2231428241322 is an abundant number, since it is smaller than the sum of its proper divisors (3294230416470).

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

2231428241322 is a wasteful number, since it uses less digits than its factorization.

2231428241322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696483 (or 696480 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 2231428241322 in words is "two trillion, two hundred thirty-one billion, four hundred twenty-eight million, two hundred forty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 26431 52862 79293 158586 185017 237879 370034 475758 555051 670037 1110102 1340074 1665153 2010111 3330306 4020222 4690259 6030333 9380518 12060666 14070777 28141554 42212331 84424662 17709747947 35419495894 53129243841 106258487682 123968235629 159387731523 247936471258 318775463046 371904706887 743809413774 1115714120661 2231428241322