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321429430745 = 5193960134693
BaseRepresentation
bin1001010110101101010…
…11111110000111011001
31010201122222011220100022
410223112223332013121
520231241413240440
6403355044120225
732136215036663
oct4532653760731
91121588156308
10321429430745
11114354596845
1252366096075
13244066bab47
14117b31db533
158563b84cb5
hex4ad6afe1d9

321429430745 has 16 divisors (see below), whose sum is σ = 387765401232. Its totient is φ = 255777177600.

The previous prime is 321429430723. The next prime is 321429430753. The reversal of 321429430745 is 547034924123.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 71961289 + 321357469456 = 8483^2 + 566884^2 .

It is a de Polignac number, because none of the positive numbers 2k-321429430745 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 321429430696 and 321429430705.

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 15 ways as a sum of consecutive naturals, for example, 9247619 + ... + 9282311.

It is an arithmetic number, because the mean of its divisors is an integer number (24235337577).

Almost surely, 2321429430745 is an apocalyptic number.

It is an amenable number.

321429430745 is a deficient number, since it is larger than the sum of its proper divisors (66335970487).

321429430745 is a wasteful number, since it uses less digits than its factorization.

321429430745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44492.

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 321429430745 in words is "three hundred twenty-one billion, four hundred twenty-nine million, four hundred thirty thousand, seven hundred forty-five".

Divisors: 1 5 193 965 9601 34693 48005 173465 1852993 6695749 9264965 33478745 333087493 1665437465 64285886149 321429430745