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344114220112 = 24136731179397
BaseRepresentation
bin1010000000111101100…
…11100100110001010000
31012220012220121121020021
411000132303210301100
521114221220020422
6422030041553224
733601320416065
oct5003663446120
91186186547207
10344114220112
11122a35562853
12568371a5814
13265b0384a30
1412925cb6c6c
158e4047ddc7
hex501ece4c50

344114220112 has 80 divisors (see below), whose sum is σ = 731076458112. Its totient is φ = 155946447360.

The previous prime is 344114220089. The next prime is 344114220157. The reversal of 344114220112 is 211022411443.

It is a super-3 number, since 3×3441142201123 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4294398 + ... + 4373794.

Almost surely, 2344114220112 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 344114220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365538229056).

344114220112 is an abundant number, since it is smaller than the sum of its proper divisors (386962238000).

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

344114220112 is a wasteful number, since it uses less digits than its factorization.

344114220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79796 (or 79790 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 344114220112 its reverse (211022411443), we get a palindrome (555136631555).

The spelling of 344114220112 in words is "three hundred forty-four billion, one hundred fourteen million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 67 104 134 208 268 311 536 622 871 1072 1244 1742 2488 3484 4043 4976 6968 8086 13936 16172 20837 32344 41674 64688 79397 83348 158794 166696 270881 317588 333392 541762 635176 1032161 1083524 1270352 2064322 2167048 4128644 4334096 5319599 8257288 10639198 16514576 21278396 24692467 42556792 49384934 69154787 85113584 98769868 138309574 197539736 276619148 321002071 395079472 553238296 642004142 1106476592 1284008284 1654395289 2568016568 3308790578 5136033136 6617581156 13235162312 21507138757 26470324624 43014277514 86028555028 172057110056 344114220112