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321439934123 = 71117231215031
BaseRepresentation
bin1001010110101110101…
…00000010011010101011
31010201200200221112021022
410223113110002122223
520231302110342443
6403400101203055
732136403234040
oct4532724023253
91121620845238
10321439934123
1111435a510120
125236970048b
1324408927869
14117b47731c7
158564a5be68
hex4ad75026ab

321439934123 has 72 divisors (see below), whose sum is σ = 439921942272. Its totient is φ = 228119328000.

The previous prime is 321439934069. The next prime is 321439934129.

321439934123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321439934123 - 210 = 321439933099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321439934129) 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 71 ways as a sum of consecutive naturals, for example, 21377618 + ... + 21392648.

It is an arithmetic number, because the mean of its divisors is an integer number (6110026976).

Almost surely, 2321439934123 is an apocalyptic number.

321439934123 is a deficient number, since it is larger than the sum of its proper divisors (118482008149).

321439934123 is a wasteful number, since it uses less digits than its factorization.

321439934123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15145 (or 15097 counting only the distinct ones).

The product of its digits is 419904, while the sum is 44.

The spelling of 321439934123 in words is "three hundred twenty-one billion, four hundred thirty-nine million, nine hundred thirty-four thousand, one hundred twenty-three".

Divisors: 1 7 11 17 31 77 119 187 217 289 341 527 961 1309 2023 2387 3179 3689 5797 6727 8959 10571 15031 16337 22253 40579 62713 73997 98549 105217 114359 165341 179707 255527 277729 465961 689843 1157387 1257949 1788689 1944103 2810797 3055019 3261727 4343959 5125571 7921337 14444791 19675579 21385133 30407713 35878997 47783549 55449359 87134707 101113537 134662729 158892701 245561447 334484843 609942949 942639103 1112248907 1481290019 1718930129 2701175917 4174544599 10369030133 18908231419 29221812193 45919990589 321439934123