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144114142000 = 245372057071
BaseRepresentation
bin1000011000110111011…
…1110100101100110000
3111202222120011221120211
42012031313310230300
54330121210021000
6150112150113504
713261165665253
oct2061567645460
9452876157524
10144114142000
11561337489a4
1223b1b64b894
131078903914a
146d91bb509a
153b36ee17ba
hex218ddf4b30

144114142000 has 40 divisors (see below), whose sum is σ = 348468000192. Its totient is φ = 57645656000.

The previous prime is 144114141961. The next prime is 144114142001. The reversal of 144114142000 is 241411441.

144114142000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (144114142001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36026536 + ... + 36030535.

Almost surely, 2144114142000 is an apocalyptic number.

144114142000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144114142000 is an abundant number, since it is smaller than the sum of its proper divisors (204353858192).

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

144114142000 is an equidigital number, since it uses as much as digits as its factorization.

144114142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72057094 (or 72057078 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 144114142000 its reverse (241411441), we get a palindrome (144355553441).

The spelling of 144114142000 in words is "one hundred forty-four billion, one hundred fourteen million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 72057071 144114142 288228284 360285355 576456568 720570710 1152913136 1441141420 1801426775 2882282840 3602853550 5764565680 7205707100 9007133875 14411414200 18014267750 28822828400 36028535500 72057071000 144114142000