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640144354365 = 325109130508533
BaseRepresentation
bin10010101000010111001…
…00111010110000111101
32021012022202112112221200
421110023210322300331
540442003423314430
61210024523050113
764151242143015
oct11241344726075
92235282475850
10640144354365
1122753588816a
12a4093070939
13484998b3049
1422da9aaac45
15119b936b460
hex950b93ac3d

640144354365 has 24 divisors (see below), whose sum is σ = 1119763221720. Its totient is φ = 338278114944.

The previous prime is 640144354351. The next prime is 640144354411. The reversal of 640144354365 is 563453441046.

640144354365 is a `hidden beast` number, since 6 + 4 + 0 + 1 + 4 + 43 + 543 + 65 = 666.

640144354365 is digitally balanced in base 2 and base 4, because in such bases 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 127847723364 + 512296631001 = 357558^2 + 715749^2 .

It is not a de Polignac number, because 640144354365 - 212 = 640144350269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 640144354365.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65249362 + ... + 65259171.

It is an arithmetic number, because the mean of its divisors is an integer number (46656800905).

Almost surely, 2640144354365 is an apocalyptic number.

It is an amenable number.

640144354365 is a deficient number, since it is larger than the sum of its proper divisors (479618867355).

640144354365 is a wasteful number, since it uses less digits than its factorization.

640144354365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130508653 (or 130508650 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 640144354365 in words is "six hundred forty billion, one hundred forty-four million, three hundred fifty-four thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 45 109 327 545 981 1635 4905 130508533 391525599 652542665 1174576797 1957627995 5872883985 14225430097 42676290291 71127150485 128028870873 213381451455 640144354365