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144300642032 = 24292291358047
BaseRepresentation
bin1000011001100011111…
…1010000111011110000
3111210110120010010112102
42012120333100323300
54331011431021112
6150142451315532
713265622135161
oct2063077207360
9453416103472
10144300642032
1156219a50158
1223b71babba8
13107b88777b1
146dac881768
153b48580bc2
hex2198fd0ef0

144300642032 has 40 divisors (see below), whose sum is σ = 290486467200. Its totient is φ = 69358125312.

The previous prime is 144300642029. The next prime is 144300642049. The reversal of 144300642032 is 230246003441.

144300642032 is digitally balanced in base 2, 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 (29).

It is a junction number, because it is equal to n+sod(n) for n = 144300641986 and 144300642004.

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, 572768 + ... + 785279.

It is an arithmetic number, because the mean of its divisors is an integer number (7262161680).

Almost surely, 2144300642032 is an apocalyptic number.

It is an amenable number.

144300642032 is an abundant number, since it is smaller than the sum of its proper divisors (146185825168).

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

144300642032 is a wasteful number, since it uses less digits than its factorization.

144300642032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358313 (or 1358307 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 144300642032 its reverse (230246003441), we get a palindrome (374546645473).

The spelling of 144300642032 in words is "one hundred forty-four billion, three hundred million, six hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 29 58 116 229 232 458 464 916 1832 3664 6641 13282 26564 53128 106256 1358047 2716094 5432188 10864376 21728752 39383363 78766726 157533452 310992763 315066904 621985526 630133808 1243971052 2487942104 4975884208 9018790127 18037580254 36075160508 72150321016 144300642032