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314030444221 = 13210589175481
BaseRepresentation
bin1001001000111011010…
…11000100111010111101
31010000120022200102221101
410210131223010322331
520121113243203341
6400132534133101
731454652506464
oct4443553047275
91100508612841
10314030444221
111111a7aa974a
1250a401b1191
13237c7839a00
14112b06a19db
15827e307831
hex491dac4ebd

314030444221 has 12 divisors (see below), whose sum is σ = 340078851540. Its totient is φ = 289845229440.

The previous prime is 314030444183. The next prime is 314030444257. The reversal of 314030444221 is 122444030413.

It can be written as a sum of positive squares in 6 ways, for example, as 198814324996 + 115216119225 = 445886^2 + 339435^2 .

It is not a de Polignac number, because 314030444221 - 219 = 314029919933 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314030444221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314030444621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1701801 + ... + 1877281.

It is an arithmetic number, because the mean of its divisors is an integer number (28339904295).

Almost surely, 2314030444221 is an apocalyptic number.

It is an amenable number.

314030444221 is a deficient number, since it is larger than the sum of its proper divisors (26048407319).

314030444221 is a wasteful number, since it uses less digits than its factorization.

314030444221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186096 (or 186083 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 314030444221 its reverse (122444030413), we get a palindrome (436474474634).

The spelling of 314030444221 in words is "three hundred fourteen billion, thirty million, four hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 13 169 10589 137657 175481 1789541 2281253 29656289 1858168309 24156188017 314030444221