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244214041013400 = 233523539115010851
BaseRepresentation
bin110111100001110010000011…
…001010011110110010011000
31012000200122010102011211200210
4313201302003022132302120
5224002200323444412100
62223222214233331120
7102303611412105543
oct6741620312366230
91160618112154623
10244214041013400
11708a5658561397
1223482398266aa0
13a63639290cc93
14444404623185a
151d3787ac20c50
hexde1c8329ec98

244214041013400 has 96 divisors (see below), whose sum is σ = 757277453908800. Its totient is φ = 65105341968000.

The previous prime is 244214041013381. The next prime is 244214041013417. The reversal of 244214041013400 is 4310140412442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55382026 + ... + 59628825.

It is an arithmetic number, because the mean of its divisors is an integer number (7888306811550).

Almost surely, 2244214041013400 is an apocalyptic number.

244214041013400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244214041013400 is an abundant number, since it is smaller than the sum of its proper divisors (513063412895400).

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

244214041013400 is a wasteful number, since it uses less digits than its factorization.

244214041013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115014409 (or 115014400 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 244214041013400 its reverse (4310140412442), we get a palindrome (248524181425842).

The spelling of 244214041013400 in words is "two hundred forty-four trillion, two hundred fourteen billion, forty-one million, thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3539 7078 10617 14156 17695 21234 28312 35390 42468 53085 70780 84936 88475 106170 141560 176950 212340 265425 353900 424680 530850 707800 1061700 2123400 115010851 230021702 345032553 460043404 575054255 690065106 920086808 1150108510 1380130212 1725162765 2300217020 2760260424 2875271275 3450325530 4600434040 5750542550 6900651060 8625813825 11501085100 13801302120 17251627650 23002170200 34503255300 69006510600 407023401689 814046803378 1221070205067 1628093606756 2035117008445 2442140410134 3256187213512 4070234016890 4884280820268 6105351025335 8140468033780 9768561640536 10175585042225 12210702050670 16280936067560 20351170084450 24421404101340 30526755126675 40702340168900 48842808202680 61053510253350 81404680337800 122107020506700 244214041013400