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144525200240 = 2453649749499
BaseRepresentation
bin1000011010011001011…
…1111000101101110000
3111211001012122212111002
42012212113320231300
54331441422401430
6150221032341132
713304316634631
oct2064627705560
9454035585432
10144525200240
1156324787053
12240152447a8
131082324cb85
146dd0617888
153b5d13b845
hex21a65f8b70

144525200240 has 40 divisors (see below), whose sum is σ = 336037086000. Its totient is φ = 57807328256.

The previous prime is 144525200233. The next prime is 144525200251. The reversal of 144525200240 is 42002525441.

144525200240 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 a congruent number.

It is an unprimeable number.

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, 2895011 + ... + 2944509.

It is an arithmetic number, because the mean of its divisors is an integer number (8400927150).

Almost surely, 2144525200240 is an apocalyptic number.

144525200240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144525200240 is an abundant number, since it is smaller than the sum of its proper divisors (191511885760).

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

144525200240 is a wasteful number, since it uses less digits than its factorization.

144525200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86009 (or 86003 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 144525200240 its reverse (42002525441), we get a palindrome (186527725681).

The spelling of 144525200240 in words is "one hundred forty-four billion, five hundred twenty-five million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 36497 49499 72994 98998 145988 182485 197996 247495 291976 364970 395992 494990 583952 729940 791984 989980 1459880 1979960 2919760 3959920 1806565003 3613130006 7226260012 9032825015 14452520024 18065650030 28905040048 36131300060 72262600120 144525200240