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314003421333 = 32759836311613
BaseRepresentation
bin1001001000111000000…
…11111111100010010101
31010000111102211112111200
410210130003333202111
520121034333440313
6400130131023113
731454204020530
oct4443403774225
91100442745450
10314003421333
11111193821a88
1250a3313aa99
13237c2067b34
14112aac69a17
15827bc6ab73
hex491c0ff895

314003421333 has 96 divisors (see below), whose sum is σ = 534668359680. Its totient is φ = 173880120960.

The previous prime is 314003421323. The next prime is 314003421337. The reversal of 314003421333 is 333124300413.

314003421333 is a `hidden beast` number, since 314 + 0 + 0 + 342 + 1 + 3 + 3 + 3 = 666.

It is not a de Polignac number, because 314003421333 - 24 = 314003421317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 314003421297 and 314003421306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314003421337) 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 95 ways as a sum of consecutive naturals, for example, 194669635 + ... + 194671247.

It is an arithmetic number, because the mean of its divisors is an integer number (5569462080).

Almost surely, 2314003421333 is an apocalyptic number.

It is an amenable number.

314003421333 is a deficient number, since it is larger than the sum of its proper divisors (220664938347).

314003421333 is a wasteful number, since it uses less digits than its factorization.

314003421333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 314003421333 its reverse (333124300413), we get a palindrome (647127721746).

The spelling of 314003421333 in words is "three hundred fourteen billion, three million, four hundred twenty-one thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 59 63 83 177 249 413 531 581 631 747 1239 1613 1743 1893 3717 4417 4839 4897 5229 5679 11291 13251 14517 14691 33873 34279 37229 39753 44073 52373 95167 101619 102837 111687 133879 157119 260603 285501 308511 335061 366611 401637 471357 666169 781809 856503 937153 1017803 1099833 1204911 1998507 2345427 2811459 3053409 3090007 3299499 5995521 7124621 7898861 8434377 9160227 9270021 21373863 21630049 23696583 27810063 55292027 60050377 64121589 64890147 71089749 84477649 165876081 180151131 194670441 253432947 420352639 497628243 540453393 591343543 760298841 1261057917 1774030629 3783173751 4984181291 5322091887 14952543873 34889269037 44857631619 104667807111 314003421333