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921443344129 = 711226915432621
BaseRepresentation
bin11010110100010100100…
…11011001111100000001
310021002101222012211102001
431122022103121330001
5110044103444003004
61543145532424001
7123400140123550
oct15321223317401
93232358184361
10921443344129
11325866822700
1212a6b9618001
1368b791aa209
1432853263d97
1518e7ed501a4
hexd68a4d9f01

921443344129 has 48 divisors (see below), whose sum is σ = 1163015159040. Its totient is φ = 714602275200.

The previous prime is 921443344043. The next prime is 921443344153.

921443344129 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 921443344129 - 215 = 921443311361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (921443344429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351560439 + ... + 351563059.

It is an arithmetic number, because the mean of its divisors is an integer number (24229482480).

Almost surely, 2921443344129 is an apocalyptic number.

It is an amenable number.

921443344129 is a deficient number, since it is larger than the sum of its proper divisors (241571814911).

921443344129 is a wasteful number, since it uses less digits than its factorization.

921443344129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 4451 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

The spelling of 921443344129 in words is "nine hundred twenty-one billion, four hundred forty-three million, three hundred forty-four thousand, one hundred twenty-nine".

Divisors: 1 7 11 77 121 269 847 1543 1883 2621 2959 10801 16973 18347 20713 28831 32549 118811 186703 201817 227843 317141 415067 705049 1306921 2219987 2905469 4044203 4565737 4935343 7755539 28309421 31960159 44486233 50223107 54288773 85310929 311403631 351561749 489348563 597176503 1087890607 3425439941 7615234249 11966796677 83767576739 131634763447 921443344129