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114021221256 = 233213711559329
BaseRepresentation
bin110101000110000110…
…0011100001110001000
3101220022100001011220200
41222030030130032020
53332003413040011
6124214114252200
711144360250405
oct1521414341610
9356270034820
10114021221256
11443a1009168
121a121587060
13a9a163b877
14573929d2ac
152e75160856
hex1a8c31c388

114021221256 has 48 divisors (see below), whose sum is σ = 311061570300. Its totient is φ = 37729646592.

The previous prime is 114021221191. The next prime is 114021221261. The reversal of 114021221256 is 652122120411.

It is a happy number.

114021221256 is a `hidden beast` number, since 1 + 1 + 402 + 1 + 2 + 2 + 1 + 256 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113861704356 + 159516900 = 337434^2 + 12630^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5769801 + ... + 5789528.

Almost surely, 2114021221256 is an apocalyptic number.

It is an amenable number.

114021221256 is an abundant number, since it is smaller than the sum of its proper divisors (197040349044).

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

114021221256 is a wasteful number, since it uses less digits than its factorization.

114021221256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11559478 (or 11559471 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 114021221256 its reverse (652122120411), we get a palindrome (766143341667).

The spelling of 114021221256 in words is "one hundred fourteen billion, twenty-one million, two hundred twenty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 4932 9864 11559329 23118658 34677987 46237316 69355974 92474632 104033961 138711948 208067922 277423896 416135844 832271688 1583628073 3167256146 4750884219 6334512292 9501768438 12669024584 14252652657 19003536876 28505305314 38007073752 57010610628 114021221256