Search a number
-
+
144103523451412 = 227231132063959867
BaseRepresentation
bin100000110000111110110111…
…010100111000001000010100
3200220020011101022120110110111
4200300332313110320020110
5122341443004000421122
61230252124511532404
742232064435102620
oct4060766724701024
9626204338513414
10144103523451412
1141a08a63243128
12141b428a52a104
136253b99ca6555
14278290d5d2180
15119d6e3bc1d77
hex830fb7538214

144103523451412 has 96 divisors (see below), whose sum is σ = 303546567647232. Its totient is φ = 58522277485056.

The previous prime is 144103523451403. The next prime is 144103523451473. The reversal of 144103523451412 is 214154325301441.

It is a super-2 number, since 2×1441035234514122 (a number of 29 digits) contains 22 as substring.

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, 149648703 + ... + 150608569.

It is an arithmetic number, because the mean of its divisors is an integer number (3161943412992).

Almost surely, 2144103523451412 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 144103523451412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151773283823616).

144103523451412 is an abundant number, since it is smaller than the sum of its proper divisors (159443044195820).

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

144103523451412 is a wasteful number, since it uses less digits than its factorization.

144103523451412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962077 (or 962075 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 144103523451412 its reverse (214154325301441), we get a palindrome (358257848752853).

The spelling of 144103523451412 in words is "one hundred forty-four trillion, one hundred three billion, five hundred twenty-three million, four hundred fifty-one thousand, four hundred twelve".

Divisors: 1 2 4 7 14 23 28 46 92 113 161 226 322 452 644 791 1582 2063 2599 3164 4126 5198 8252 10396 14441 18193 28882 36386 47449 57764 72772 94898 189796 233119 332143 466238 664286 932476 959867 1328572 1631833 1919734 3263666 3839468 5361737 6527332 6719069 10723474 13438138 21446948 22076941 26876276 37532159 44153882 75064318 88307764 108464971 150128636 154538587 216929942 309077174 433859884 618154348 759254797 1518509594 1980205621 2494694333 3037019188 3960411242 4989388666 7920822484 9978777332 13861439347 17462860331 27722878694 34925720662 45544729283 55445757388 69851441324 91089458566 182178917132 223763235173 318813104981 447526470346 637626209962 895052940692 1275252419924 1566342646211 3132685292422 5146554408979 6265370584844 10293108817958 20586217635916 36025880862853 72051761725706 144103523451412