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144664691867901 = 3415642111417801
BaseRepresentation
bin100000111001001001011111…
…100100100000000011111101
3200222012210212002221200120000
4200321021133210200003331
5122430141242104233101
61231402013022344513
742320451631663122
oct4071113744400375
9628183762850500
10144664691867901
1142104a51182247
1214284ba072b139
136294a8b967cba
1427a1b46536749
1511ad0d9905486
hex83925f9200fd

144664691867901 has 20 divisors (see below), whose sum is σ = 216105446357724. Its totient is φ = 96442502904000.

The previous prime is 144664691867887. The next prime is 144664691867903. The reversal of 144664691867901 is 109768196466441.

144664691867901 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 6 + 469 + 18 + 67 + 90 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36512470928025 + 108152220939876 = 6042555^2 + 10399626^2 .

It is not a de Polignac number, because 144664691867901 - 26 = 144664691867837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144664691867901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144664691867903) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6961201 + ... + 18379001.

Almost surely, 2144664691867901 is an apocalyptic number.

It is an amenable number.

144664691867901 is a deficient number, since it is larger than the sum of its proper divisors (71440754489823).

144664691867901 is a wasteful number, since it uses less digits than its factorization.

144664691867901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11574234 (or 11574225 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 144664691867901 in words is "one hundred forty-four trillion, six hundred sixty-four billion, six hundred ninety-one million, eight hundred sixty-seven thousand, nine hundred one".

Divisors: 1 3 9 27 81 156421 469263 1407789 4223367 11417801 12670101 34253403 102760209 308280627 924841881 1785983850221 5357951550663 16073854651989 48221563955967 144664691867901