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144243221104 = 24294121011831
BaseRepresentation
bin1000011001010110010…
…0001110001001110000
3111210022120001211211101
42012111210032021300
54330402231033404
6150133040454144
713264324102213
oct2062544161160
9453276054741
10144243221104
115619a5a0a44
1223b5691a354
13107a99c1708
146da4db577a
153b434dc2a4
hex219590e270

144243221104 has 120 divisors (see below), whose sum is σ = 299429004960. Its totient is φ = 67226880000.

The previous prime is 144243221051. The next prime is 144243221107. The reversal of 144243221104 is 401122342441.

It is a super-2 number, since 2×1442432211042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144243221107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78777469 + ... + 78779299.

It is an arithmetic number, because the mean of its divisors is an integer number (2495241708).

Almost surely, 2144243221104 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 144243221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149714502480).

144243221104 is an abundant number, since it is smaller than the sum of its proper divisors (155185783856).

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

144243221104 is a wasteful number, since it uses less digits than its factorization.

144243221104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 144243221104 its reverse (401122342441), we get a palindrome (545365563545).

The spelling of 144243221104 in words is "one hundred forty-four billion, two hundred forty-three million, two hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 41 58 82 101 116 164 202 232 328 404 464 656 808 1189 1616 1681 1831 2378 2929 3362 3662 4141 4756 5858 6724 7324 8282 9512 11716 13448 14648 16564 19024 23432 26896 29296 33128 46864 48749 53099 66256 75071 97498 106198 120089 150142 169781 184931 194996 212396 240178 300284 339562 369862 389992 424792 480356 600568 679124 739724 779984 849584 960712 1201136 1358248 1479448 1921424 2177059 2716496 2958896 3077911 4354118 4923649 5362999 6155822 7582171 8708236 9847298 10725998 12311644 15164342 17416472 19694596 21451996 24623288 30328684 34832944 39389192 42903992 49246576 60657368 78778384 85807984 89259419 121314736 178518838 219882959 310869011 357037676 439765918 621738022 714075352 879531836 1243476044 1428150704 1759063672 2486952088 3518127344 4973904176 9015201319 18030402638 36060805276 72121610552 144243221104