Search a number
-
+
321381046845 = 3452409132939
BaseRepresentation
bin1001010110100111100…
…11011001101000111101
31010201112121010202010000
410223103303121220331
520231142021444340
6403350155104513
732135056553025
oct4532363315075
91121477122100
10321381046845
1111432a24a251
1252351a42139
13243c967a211
14117aaa04a85
15855e7c8d30
hex4ad3cd9a3d

321381046845 has 40 divisors (see below), whose sum is σ = 576146688480. Its totient is φ = 171390906720.

The previous prime is 321381046817. The next prime is 321381046849. The reversal of 321381046845 is 548640183123.

321381046845 is a `hidden beast` number, since 3 + 2 + 138 + 10 + 468 + 45 = 666.

It is not a de Polignac number, because 321381046845 - 26 = 321381046781 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 321381046845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321381046849) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9740386 + ... + 9773324.

It is an arithmetic number, because the mean of its divisors is an integer number (14403667212).

Almost surely, 2321381046845 is an apocalyptic number.

It is an amenable number.

321381046845 is a deficient number, since it is larger than the sum of its proper divisors (254765641635).

321381046845 is a wasteful number, since it uses less digits than its factorization.

321381046845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57047 (or 57038 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 321381046845 in words is "three hundred twenty-one billion, three hundred eighty-one million, forty-six thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 24091 32939 72273 98817 120455 164695 216819 296451 361365 494085 650457 889353 1084095 1482255 1951371 2668059 3252285 4446765 9756855 13340295 793533449 2380600347 3967667245 7141801041 11903001735 21425403123 35709005205 64276209369 107127015615 321381046845