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2254144412344 = 2311253199220789
BaseRepresentation
bin100000110011010101011…
…110100001101010111000
321222111100012101200000211
4200303111132201222320
5243412441432143334
64443312321440504
7321566541236446
oct40632536415270
97874305350024
102254144412344
11799a82834400
12304a504a0134
13134746138456
147b15b887b96
153d97ea95a64
hex20cd57a1ab8

2254144412344 has 96 divisors (see below), whose sum is σ = 4757141340000. Its totient is φ = 1000222629120.

The previous prime is 2254144412297. The next prime is 2254144412371. The reversal of 2254144412344 is 4432144414522.

It is a junction number, because it is equal to n+sod(n) for n = 2254144412297 and 2254144412306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10099102 + ... + 10319890.

It is an arithmetic number, because the mean of its divisors is an integer number (49553555625).

Almost surely, 22254144412344 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 2254144412344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378570670000).

2254144412344 is an abundant number, since it is smaller than the sum of its proper divisors (2502996927656).

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

2254144412344 is a wasteful number, since it uses less digits than its factorization.

2254144412344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221069 (or 221054 counting only the distinct ones).

The product of its digits is 491520, while the sum is 40.

Adding to 2254144412344 its reverse (4432144414522), we get a palindrome (6686288826866).

The spelling of 2254144412344 in words is "two trillion, two hundred fifty-four billion, one hundred forty-four million, four hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 53 88 106 121 199 212 242 398 424 484 583 796 968 1166 1592 2189 2332 4378 4664 6413 8756 10547 12826 17512 21094 24079 25652 42188 48158 51304 84376 96316 116017 192632 220789 232034 441578 464068 883156 928136 1276187 1766312 2428679 2552374 4857358 5104748 9714716 10209496 11701817 19429432 23403634 26715469 43937011 46807268 53430938 87874022 93614536 106861876 128719987 175748044 213723752 257439974 351496088 483307121 514879948 966614242 1029759896 1415919857 1933228484 2328661583 2831839714 3866456968 4657323166 5316378331 5663679428 9314646332 10632756662 11327358856 18629292664 21265513324 25615277413 42531026648 51230554826 102461109652 204922219304 281768051543 563536103086 1127072206172 2254144412344