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144131443140 = 223557110134153
BaseRepresentation
bin1000011000111011100…
…1110100100111000100
3111210000202201221021210
42012032321310213010
54330140122140030
6150114005011420
713261466024016
oct2061671644704
9453022657253
10144131443140
1156142495563
1223b253b3b70
131078c7b5cc9
146d941da1b6
153b387acbb0
hex218ee749c4

144131443140 has 96 divisors (see below), whose sum is σ = 404771342976. Its totient is φ = 38320634880.

The previous prime is 144131443139. The next prime is 144131443171. The reversal of 144131443140 is 41344131441.

144131443140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144131443098 and 144131443107.

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, 34703304 + ... + 34707456.

It is an arithmetic number, because the mean of its divisors is an integer number (4216368156).

Almost surely, 2144131443140 is an apocalyptic number.

144131443140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144131443140 is an abundant number, since it is smaller than the sum of its proper divisors (260639899836).

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

144131443140 is a wasteful number, since it uses less digits than its factorization.

144131443140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5749 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 144131443140 its reverse (41344131441), we get a palindrome (185475574581).

The spelling of 144131443140 in words is "one hundred forty-four billion, one hundred thirty-one million, four hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 571 1013 1142 1713 2026 2284 2855 3039 3426 4052 4153 5065 5710 6078 6852 8306 8565 10130 11420 12156 12459 15195 16612 17130 20260 20765 24918 30390 34260 41530 49836 60780 62295 83060 124590 249180 578423 1156846 1735269 2313692 2371363 2892115 3470538 4206989 4742726 5784230 6941076 7114089 8413978 8676345 9485452 11568460 11856815 12620967 14228178 16827956 17352690 21034945 23713630 25241934 28456356 34705380 35570445 42069890 47427260 50483868 63104835 71140890 84139780 126209670 142281780 252419340 2402190719 4804381438 7206572157 9608762876 12010953595 14413144314 24021907190 28826288628 36032860785 48043814380 72065721570 144131443140