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314321211340 = 225172952360953
BaseRepresentation
bin1001001001011110000…
…00010000111111001100
31010001022120210221102221
410210233000100333030
520122212212230330
6400221442225124
731465113133153
oct4445700207714
91101276727387
10314321211340
11111337147354
1250b016551a4
1323842b54166
14112db15059a
158299ae0b7a
hex492f010fcc

314321211340 has 96 divisors (see below), whose sum is σ = 724396841280. Its totient is φ = 114031927296.

The previous prime is 314321211161. The next prime is 314321211349. The reversal of 314321211340 is 43112123413.

It is not an unprimeable number, because it can be changed into a prime (314321211349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5126304 + ... + 5187256.

It is an arithmetic number, because the mean of its divisors is an integer number (7545800430).

Almost surely, 2314321211340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314321211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362198420640).

314321211340 is an abundant number, since it is smaller than the sum of its proper divisors (410075629940).

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

314321211340 is a wasteful number, since it uses less digits than its factorization.

314321211340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61531 (or 61529 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 314321211340 its reverse (43112123413), we get a palindrome (357433334753).

The spelling of 314321211340 in words is "three hundred fourteen billion, three hundred twenty-one million, two hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 523 580 986 1046 1972 2092 2465 2615 4930 5230 8891 9860 10460 15167 17782 30334 35564 44455 60668 60953 75835 88910 121906 151670 177820 243812 257839 303340 304765 515678 609530 1031356 1036201 1219060 1289195 1767637 2072402 2578390 3535274 4144804 5156780 5181005 7070548 8838185 10362010 17676370 20724020 30049829 31878419 35352740 60099658 63756838 120199316 127513676 150249145 159392095 300498290 318784190 541933123 600996580 637568380 924474151 1083866246 1848948302 2167732492 2709665615 3697896604 4622370755 5419331230 9244741510 10838662460 15716060567 18489483020 31432121134 62864242268 78580302835 157160605670 314321211340