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144323400144 = 24371139048539
BaseRepresentation
bin1000011001101001011…
…0000101000111010000
3111210112010221100210110
42012122112011013100
54331033242301034
6150145023201320
713266316442310
oct2063226050720
9453463840713
10144323400144
1156230884710
1223b79746240
13107c04b5431
146db18c7440
153b4a578de9
hex219a5851d0

144323400144 has 80 divisors (see below), whose sum is σ = 464833820160. Its totient is φ = 37486596480.

The previous prime is 144323400079. The next prime is 144323400163. The reversal of 144323400144 is 441004323441.

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, 19520574 + ... + 19527965.

It is an arithmetic number, because the mean of its divisors is an integer number (5810422752).

Almost surely, 2144323400144 is an apocalyptic number.

144323400144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144323400144 is an abundant number, since it is smaller than the sum of its proper divisors (320510420016).

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

144323400144 is a wasteful number, since it uses less digits than its factorization.

144323400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39048568 (or 39048562 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 144323400144 its reverse (441004323441), we get a palindrome (585327723585).

The spelling of 144323400144 in words is "one hundred forty-four billion, three hundred twenty-three million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 39048539 78097078 117145617 156194156 234291234 273339773 312388312 429533929 468582468 546679546 624776624 820019319 859067858 937164936 1093359092 1288601787 1640038638 1718135716 1874329872 2186718184 2577203574 3006737503 3280077276 3436271432 4373436368 5154407148 6013475006 6560154552 6872542864 9020212509 10308814296 12026950012 13120309104 18040425018 20617628592 24053900024 36080850036 48107800048 72161700072 144323400144