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2034241420344 = 233743883318907
BaseRepresentation
bin11101100110100010001…
…111001011110000111000
321012110201210010020020120
4131212202033023300320
5231312111300422334
64154303445253240
7266653253526630
oct35464217136070
97173653106216
102034241420344
11714798281791
1228a2bb404220
13119a9c578343
147065a3336c0
1537dae168949
hex1d9a23cbc38

2034241420344 has 128 divisors (see below), whose sum is σ = 5954037872640. Its totient is φ = 567050585472.

The previous prime is 2034241420229. The next prime is 2034241420399. The reversal of 2034241420344 is 4430241424302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6219339 + ... + 6538245.

It is an arithmetic number, because the mean of its divisors is an integer number (46515920880).

Almost surely, 22034241420344 is an apocalyptic number.

2034241420344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034241420344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977018936320).

2034241420344 is an abundant number, since it is smaller than the sum of its proper divisors (3919796452296).

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

2034241420344 is a wasteful number, since it uses less digits than its factorization.

2034241420344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319849 (or 319845 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 2034241420344 its reverse (4430241424302), we get a palindrome (6464482844646).

The spelling of 2034241420344 in words is "two trillion, thirty-four billion, two hundred forty-one million, four hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 883 903 1032 1204 1766 1806 2408 2649 3532 3612 5298 6181 7064 7224 10596 12362 18543 21192 24724 37086 37969 49448 74172 75938 113907 148344 151876 227814 265783 303752 318907 455628 531566 637814 797349 911256 956721 1063132 1275628 1594698 1913442 2126264 2232349 2551256 3189396 3826884 4464698 6378792 6697047 7653768 8929396 13394094 13713001 17858792 26788188 27426002 41139003 53576376 54852004 82278006 95991007 109704008 164556012 191982014 281594881 287973021 329112024 383964028 563189762 575946042 767928056 844784643 1126379524 1151892084 1689569286 1971164167 2252759048 2303784168 3379138572 3942328334 5913492501 6758277144 7884656668 11826985002 12108579883 15769313336 23653970004 24217159766 36325739649 47307940008 48434319532 72651479298 84760059181 96868639064 145302958596 169520118362 254280177543 290605917192 339040236724 508560355086 678080473448 1017120710172 2034241420344