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144400133140 = 225449159710069
BaseRepresentation
bin1000011001111011101…
…0110010110000010100
3111210201111022210200021
42012132322302300110
54331212413230030
6150200403554524
713301240610544
oct2063672626024
9453644283607
10144400133140
115627012430a
1223b9b38ba44
1310803370783
146dbbb7d324
153b5218497a
hex219eeb2c14

144400133140 has 48 divisors (see below), whose sum is σ = 304136154000. Its totient is φ = 57589604352.

The previous prime is 144400133123. The next prime is 144400133179. The reversal of 144400133140 is 41331004441.

It can be written as a sum of positive squares in 8 ways, for example, as 12975032464 + 131425100676 = 113908^2 + 362526^2 .

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, 14336026 + ... + 14346094.

It is an arithmetic number, because the mean of its divisors is an integer number (6336169875).

Almost surely, 2144400133140 is an apocalyptic number.

144400133140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144400133140 is an abundant number, since it is smaller than the sum of its proper divisors (159736020860).

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

144400133140 is a wasteful number, since it uses less digits than its factorization.

144400133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12124 (or 12122 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 144400133140 its reverse (41331004441), we get a palindrome (185731137581).

The spelling of 144400133140 in words is "one hundred forty-four billion, four hundred million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 449 898 1597 1796 2245 3194 4490 6388 7985 8980 10069 15970 20138 31940 40276 50345 100690 201380 717053 1434106 2868212 3585265 4520981 7170530 9041962 14341060 16080193 18083924 22604905 32160386 45209810 64320772 80400965 90419620 160801930 321603860 7220006657 14440013314 28880026628 36100033285 72200066570 144400133140