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314211244221 = 32767161945979
BaseRepresentation
bin1001001001010000111…
…00110001100010111101
31010001000220220000220200
410210220130301202331
520122001034303341
6400202513234113
731462306336260
oct4445034614275
91101026800820
10314211244221
11111290068436
1250a90862939
1323826130a64
14112ca6c6cd7
15829011cdb6
hex49287318bd

314211244221 has 48 divisors (see below), whose sum is σ = 526776307200. Its totient is φ = 176756351904.

The previous prime is 314211244219. The next prime is 314211244229. The reversal of 314211244221 is 122442112413.

314211244221 is a `hidden beast` number, since 3 + 1 + 4 + 211 + 2 + 442 + 2 + 1 = 666.

It is not a de Polignac number, because 314211244221 - 21 = 314211244219 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314211244229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6810810 + ... + 6856788.

It is an arithmetic number, because the mean of its divisors is an integer number (10974506400).

Almost surely, 2314211244221 is an apocalyptic number.

It is an amenable number.

314211244221 is a deficient number, since it is larger than the sum of its proper divisors (212565062979).

314211244221 is a wasteful number, since it uses less digits than its factorization.

314211244221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47678 (or 47675 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 314211244221 its reverse (122442112413), we get a palindrome (436653356634).

The spelling of 314211244221 in words is "three hundred fourteen billion, two hundred eleven million, two hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 67 201 469 603 1407 1619 4221 4857 11333 14571 33999 45979 101997 108473 137937 321853 325419 413811 759311 965559 976257 2277933 2896677 3080593 6833799 9241779 21564151 27725337 64692453 74440001 194077359 223320003 521080007 669960009 1563240021 4689720063 4987480067 14962440201 34912360469 44887320603 104737081407 314211244221