Search a number
-
+
301421393856 = 2634115989591
BaseRepresentation
bin1000110001011100001…
…11010111011111000000
31001211000120112022120000
410120232013113133000
514414302334100411
6350245430320000
730530334400632
oct4305607273700
91054016468500
10301421393856
11106917578570
124a5014b9000
132256845b06b
1410835c22a52
157c9237c956
hex462e1d77c0

301421393856 has 280 divisors, whose sum is σ = 991267390080. Its totient is φ = 89790681600.

The previous prime is 301421393827. The next prime is 301421393869. The reversal of 301421393856 is 658393124103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3319621 + ... + 3409211.

Almost surely, 2301421393856 is an apocalyptic number.

301421393856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301421393856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495633695040).

301421393856 is an abundant number, since it is smaller than the sum of its proper divisors (689845996224).

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

301421393856 is a wasteful number, since it uses less digits than its factorization.

301421393856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89685 (or 89666 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 301421393856 in words is "three hundred one billion, four hundred twenty-one million, three hundred ninety-three thousand, eight hundred fifty-six".