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144353642140 = 225411371284971
BaseRepresentation
bin1000011001110000100…
…1011100011010011100
3111210121020211211000101
42012130021130122130
54331114013022030
6150152023310444
713300134466351
oct2063411343234
9453536754011
10144353642140
115624695a9a4
1223b878ab424
13107c68435c6
146db591a628
153b4d04e7ca
hex219c25c69c

144353642140 has 48 divisors (see below), whose sum is σ = 312803303904. Its totient is φ = 55921894400.

The previous prime is 144353642117. The next prime is 144353642143. The reversal of 144353642140 is 41246353441.

It is a self number, because there is not a number n which added to its sum of digits gives 144353642140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144353642143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530146 + ... + 754825.

It is an arithmetic number, because the mean of its divisors is an integer number (6516735498).

Almost surely, 2144353642140 is an apocalyptic number.

144353642140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144353642140 is an abundant number, since it is smaller than the sum of its proper divisors (168449661764).

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

144353642140 is a wasteful number, since it uses less digits than its factorization.

144353642140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285158 (or 1285156 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 144353642140 its reverse (41246353441), we get a palindrome (185599995581).

The spelling of 144353642140 in words is "one hundred forty-four billion, three hundred fifty-three million, six hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 137 164 205 274 410 548 685 820 1370 2740 5617 11234 22468 28085 56170 112340 1284971 2569942 5139884 6424855 12849710 25699420 52683811 105367622 176041027 210735244 263419055 352082054 526838110 704164108 880205135 1053676220 1760410270 3520820540 7217682107 14435364214 28870728428 36088410535 72176821070 144353642140