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114133404321 = 33231272336211
BaseRepresentation
bin110101001001011100…
…0011000101010100001
3101220121011010200011000
41222102320120222201
53332221122414241
6124233202542213
711150221633626
oct1522270305241
9356534120130
10114133404321
1144449370a42
121a153067969
13a9bb959791
14574a14234d
152e7ee1eeb6
hex1a92e18aa1

114133404321 has 64 divisors (see below), whose sum is σ = 178619351040. Its totient is φ = 71886165120.

The previous prime is 114133404317. The next prime is 114133404337. The reversal of 114133404321 is 123404331411.

114133404321 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 334 + 0 + 4 + 321 = 666.

It is not a de Polignac number, because 114133404321 - 22 = 114133404317 is a prime.

It is a super-2 number, since 2×1141334043212 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114133484321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18372906 + ... + 18379116.

It is an arithmetic number, because the mean of its divisors is an integer number (2790927360).

Almost surely, 2114133404321 is an apocalyptic number.

It is an amenable number.

114133404321 is a deficient number, since it is larger than the sum of its proper divisors (64485946719).

114133404321 is a wasteful number, since it uses less digits than its factorization.

114133404321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6603 (or 6597 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 114133404321 its reverse (123404331411), we get a palindrome (237537735732).

The spelling of 114133404321 in words is "one hundred fourteen billion, one hundred thirty-three million, four hundred four thousand, three hundred twenty-one".

Divisors: 1 3 9 23 27 69 127 207 233 381 621 699 1143 2097 2921 3429 5359 6211 6291 8763 16077 18633 26289 29591 48231 55899 78867 88773 142853 144693 167697 266319 428559 680593 788797 798957 1285677 1447163 2041779 2366391 3857031 4341489 6125337 7099173 13024467 18142331 18376011 21297519 33284749 39073401 54426993 99854247 163280979 183789701 299562741 489842937 551369103 898688223 1654107309 4227163123 4962321927 12681489369 38044468107 114133404321