Search a number
-
+
300267141916 = 227315335918181
BaseRepresentation
bin1000101111010010101…
…00001111101100011100
31001201001010121020120011
410113221110033230130
514404421342020131
6345535114533004
730456620410630
oct4275124175434
91051033536504
10300267141916
11106384a78a45
124a23aa37164
1322413293851
1410766800dc0
157c25d7c0b1
hex45e950fb1c

300267141916 has 96 divisors (see below), whose sum is σ = 633396879360. Its totient is φ = 121837996800.

The previous prime is 300267141913. The next prime is 300267141917. The reversal of 300267141916 is 619141762003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300267141913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16506346 + ... + 16524526.

It is an arithmetic number, because the mean of its divisors is an integer number (6597884160).

Almost surely, 2300267141916 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 300267141916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316698439680).

300267141916 is an abundant number, since it is smaller than the sum of its proper divisors (333129737444).

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

300267141916 is a wasteful number, since it uses less digits than its factorization.

300267141916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18635 (or 18633 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 300267141916 in words is "three hundred billion, two hundred sixty-seven million, one hundred forty-one thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 31 53 62 106 124 212 217 359 371 434 718 742 868 1436 1484 1643 2513 3286 5026 6572 10052 11129 11501 18181 19027 22258 23002 36362 38054 44516 46004 72724 76108 77903 127267 133189 155806 254534 266378 311612 509068 532756 563611 589837 963593 1127222 1179674 1927186 2254444 2359348 3854372 3945277 4128859 6526979 6745151 7890554 8257718 13053958 13490302 15781108 16515436 26107916 26980604 29871383 45688853 59742766 91377706 119485532 182755412 202336349 209099681 345929887 404672698 418199362 691859774 809345396 836398724 1383719548 1416354443 2421509209 2832708886 4843018418 5665417772 9686036836 10723826497 21447652994 42895305988 75066785479 150133570958 300267141916