Search a number
-
+
300042403312 = 24172112357781
BaseRepresentation
bin1000101110110111110…
…10111011110111110000
31001200110110201100011011
410113123322323313300
514403441323401222
6345500530000304
730451221230221
oct4273372736760
91050413640134
10300042403312
1110627a129563
124a197716094
13223a8857322
1410744a1d248
157c11287c77
hex45dbebbdf0

300042403312 has 60 divisors (see below), whose sum is σ = 618100294456. Its totient is φ = 141068252160.

The previous prime is 300042403289. The next prime is 300042403319. The reversal of 300042403312 is 213304240003.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300042403319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5163862 + ... + 5221642.

Almost surely, 2300042403312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300042403312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309050147228).

300042403312 is an abundant number, since it is smaller than the sum of its proper divisors (318057891144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

300042403312 is a wasteful number, since it uses less digits than its factorization.

300042403312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58946 (or 58923 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 300042403312 its reverse (213304240003), we get a palindrome (513346643315).

The spelling of 300042403312 in words is "three hundred billion, forty-two million, four hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1123 1156 2246 2312 4492 4624 8984 17968 19091 38182 57781 76364 115562 152728 231124 305456 324547 462248 649094 924496 982277 1298188 1964554 2596376 3929108 5192752 7858216 15716432 16698709 33397418 64888063 66794836 129776126 133589672 259552252 267179344 519104504 1038209008 1103097071 2206194142 4412388284 8824776568 17649553136 18752650207 37505300414 75010600828 150021201656 300042403312