Search a number
-
+
300144232301013 = 321272813492677639
BaseRepresentation
bin100010000111110101100011…
…0010110010000000111010101
31110100201111201121110122010200
41010033223012112100013111
5303320030341432113023
62542204205023011113
7120135463610011302
oct10417530626200725
91410644647418120
10300144232301013
11876a94aa431aa1
12297b5b68139a99
13cb62630a71c29
1454190b61a80a9
1524a7690de0743
hex110fac65901d5

300144232301013 has 48 divisors (see below), whose sum is σ = 439767025152000. Its totient is φ = 197247239320320.

The previous prime is 300144232300933. The next prime is 300144232301051. The reversal of 300144232301013 is 310103232441003.

It is a happy number.

300144232301013 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 4 + 423 + 230 + 1 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 300144232301013 - 224 = 300144215523797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300144232301093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110754048 + ... + 113431686.

It is an arithmetic number, because the mean of its divisors is an integer number (9161813024000).

Almost surely, 2300144232301013 is an apocalyptic number.

It is an amenable number.

300144232301013 is a deficient number, since it is larger than the sum of its proper divisors (139622792850987).

300144232301013 is a wasteful number, since it uses less digits than its factorization.

300144232301013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2678402 (or 2678399 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 300144232301013 its reverse (310103232441003), we get a palindrome (610247464742016).

The spelling of 300144232301013 in words is "three hundred trillion, one hundred forty-four billion, two hundred thirty-two million, three hundred one thousand, thirteen".

Divisors: 1 3 9 127 281 349 381 843 1047 1143 2529 3141 35687 44323 98069 107061 132969 294207 321183 398907 882621 2677639 8032917 12454763 24098751 37364289 112092867 340060153 752416559 934496011 1020180459 2257249677 2803488033 3060541377 6771749031 8410464099 95556902993 118680993397 262593379091 286670708979 356042980191 787780137273 860012126937 1068128940573 2363340411819 33349359144557 100048077433671 300144232301013