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144365952061 = 8911314354773
BaseRepresentation
bin1000011001110011100…
…0011001110000111101
3111210122010000020001101
42012130320121300331
54331130140431221
6150153143213101
713300344226342
oct2063470316075
9453563006041
10144365952061
11562528a8591
1223b8ba47191
13107c9263696
146db74027c9
153b4e181d91
hex219ce19c3d

144365952061 has 8 divisors (see below), whose sum is σ = 147279981240. Its totient is φ = 141480632832.

The previous prime is 144365952041. The next prime is 144365952077. The reversal of 144365952061 is 160259563441.

144365952061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1486488025 + 142879464036 = 38555^2 + 377994^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144365952061 is a prime.

It is a super-2 number, since 2×1443659520612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144365952041) 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, 7167330 + ... + 7187443.

It is an arithmetic number, because the mean of its divisors is an integer number (18409997655).

Almost surely, 2144365952061 is an apocalyptic number.

It is an amenable number.

144365952061 is a deficient number, since it is larger than the sum of its proper divisors (2914029179).

144365952061 is a wasteful number, since it uses less digits than its factorization.

144365952061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14354975.

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 144365952061 in words is "one hundred forty-four billion, three hundred sixty-five million, nine hundred fifty-two thousand, sixty-one".

Divisors: 1 89 113 10057 14354773 1277574797 1622089349 144365952061