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344114123444 = 2271323226718131
BaseRepresentation
bin1010000000111101100…
…11001101001010110100
31012220012220102200121222
411000132303031022310
521114221203422234
6422030035525512
733601316534210
oct5003663151264
91186186380558
10344114123444
11122a354a7163
1256837159898
13265b034ca30
1412925c8d940
158e4046042e
hex501eccd2b4

344114123444 has 96 divisors (see below), whose sum is σ = 773777442816. Its totient is φ = 130149613440.

The previous prime is 344114123417. The next prime is 344114123449. The reversal of 344114123444 is 444321411443.

It is a super-2 number, since 2×3441141234442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344114123449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18970259 + ... + 18988389.

It is an arithmetic number, because the mean of its divisors is an integer number (8060181696).

Almost surely, 2344114123444 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 344114123444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386888721408).

344114123444 is an abundant number, since it is smaller than the sum of its proper divisors (429663319372).

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

344114123444 is a wasteful number, since it uses less digits than its factorization.

344114123444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20445 (or 20443 counting only the distinct ones).

The product of its digits is 73728, while the sum is 35.

Adding to 344114123444 its reverse (444321411443), we get a palindrome (788435534887).

The spelling of 344114123444 in words is "three hundred forty-four billion, one hundred fourteen million, one hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1196 2093 2267 4186 4534 8372 9068 15869 18131 29471 31738 36262 52141 58942 63476 72524 104282 117884 126917 206297 208564 235703 253834 364987 412594 417013 471406 507668 677833 729974 825188 834026 942812 1355666 1459948 1649921 1668052 2711332 2919091 3299842 4744831 5421169 5838182 6599684 9489662 10842338 11676364 18979324 21684676 37948183 41102977 75896366 82205954 151792732 164411908 287720839 534338701 575441678 945368471 1068677402 1150883356 1890736942 2137354804 3740370907 3781473884 6617579297 7480741814 12289790123 13235158594 14961483628 24579580246 26470317188 49159160492 86028530861 172057061722 344114123444