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20340114444 = 22341331155777
BaseRepresentation
bin10010111100010111…
…011000010000001100
31221111112111212120000
4102330113120100030
5313124032130234
613202155124300
71320022056126
oct227427302014
957445455500
1020340114444
118698512041
123b37a43690
131bc1cac3a0
14dad53c216
157e0a50899
hex4bc5d840c

20340114444 has 120 divisors (see below), whose sum is σ = 59110896768. Its totient is φ = 6056570880.

The previous prime is 20340114409. The next prime is 20340114461. The reversal of 20340114444 is 44441104302.

20340114444 is a `hidden beast` number, since 203 + 4 + 0 + 1 + 14 + 444 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52684 + ... + 208460.

Almost surely, 220340114444 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 20340114444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29555448384).

20340114444 is an abundant number, since it is smaller than the sum of its proper divisors (38770782324).

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

20340114444 is a wasteful number, since it uses less digits than its factorization.

20340114444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155837 (or 155826 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20340114444 its reverse (44441104302), we get a palindrome (64781218746).

The spelling of 20340114444 in words is "twenty billion, three hundred forty million, one hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 81 93 108 117 124 156 162 186 234 279 324 351 372 403 468 558 702 806 837 1053 1116 1209 1404 1612 1674 2106 2418 2511 3348 3627 4212 4836 5022 7254 10044 10881 14508 21762 32643 43524 65286 130572 155777 311554 467331 623108 934662 1401993 1869324 2025101 2803986 4050202 4205979 4829087 5607972 6075303 8100404 8411958 9658174 12150606 12617937 14487261 16823916 18225909 19316348 24301212 25235874 28974522 36451818 43461783 50471748 54677727 57949044 62778131 72903636 86923566 109355454 125556262 130385349 164033181 173847132 188334393 218710908 251112524 260770698 328066362 376668786 391156047 521541396 565003179 656132724 753337572 782312094 1130006358 1564624188 1695009537 2260012716 3390019074 5085028611 6780038148 10170057222 20340114444