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114223211211304 = 231322691753179161
BaseRepresentation
bin11001111110001010101001…
…111011011110101000101000
3112222102122001222111212120101
4121332022221323132220220
5104432413114032230204
61042533230244435144
733026232440516656
oct3176125173365050
9488378058455511
10114223211211304
1133438878a32618
12109892823a8ab4
134b97283159500
14202c60bd0ddd6
15d3131b772ea4
hex67e2a9edea28

114223211211304 has 96 divisors (see below), whose sum is σ = 232906497190200. Its totient is φ = 52492171530240.

The previous prime is 114223211211289. The next prime is 114223211211331. The reversal of 114223211211304 is 403112112322411.

It can be written as a sum of positive squares in 12 ways, for example, as 11206760522500 + 103016450688804 = 3347650^2 + 10149702^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637455484 + ... + 637634644.

Almost surely, 2114223211211304 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 114223211211304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116453248595100).

114223211211304 is an abundant number, since it is smaller than the sum of its proper divisors (118683285978896).

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

114223211211304 is a wasteful number, since it uses less digits than its factorization.

114223211211304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181215 (or 181198 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 114223211211304 its reverse (403112112322411), we get a palindrome (517335323533715).

The spelling of 114223211211304 in words is "one hundred fourteen trillion, two hundred twenty-three billion, two hundred eleven million, two hundred eleven thousand, three hundred four".

Divisors: 1 2 4 8 13 26 52 104 169 269 338 538 676 1076 1352 1753 2152 3497 3506 6994 7012 13988 14024 22789 27976 45461 45578 90922 91156 179161 181844 182312 296257 358322 363688 471557 592514 716644 943114 1185028 1433288 1886228 2329093 2370056 3772456 4658186 6130241 9316372 12260482 18632744 24520964 30278209 48194309 49041928 60556418 79693133 96388618 121112836 159386266 192777236 242225672 314069233 318772532 385554472 626526017 628138466 637545064 1253052034 1256276932 2506104068 2512553864 4082900029 5012208136 8144838221 8165800058 16289676442 16331600116 32579352884 32663200232 53077700377 65158705768 84484623677 106155400754 168969247354 212310801508 337938494708 424621603016 675876989416 1098300107801 2196600215602 4393200431204 8786400862408 14277901401413 28555802802826 57111605605652 114223211211304