Search a number
-
+
300421004323440 = 2435721113264767489
BaseRepresentation
bin100010001001110110011011…
…1001111101110101001110000
31110101200222010022212010212010
41010103230313033232221300
5303334044204101322230
62542535300520002520
7120164462355253500
oct10423546717565160
91411628108763763
10300421004323440
11877a5917a87a10
122983b72a600440
13cb8276b50cac0
145428650435a00
1524ae98e25a9b0
hex1113b373eea70

300421004323440 has 960 divisors, whose sum is σ = 1273252336634880. Its totient is φ = 57600586874880.

The previous prime is 300421004323421. The next prime is 300421004323493. The reversal of 300421004323440 is 44323400124003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 300421004323398 and 300421004323407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4451373216 + ... + 4451440704.

It is an arithmetic number, because the mean of its divisors is an integer number (1326304517328).

Almost surely, 2300421004323440 is an apocalyptic number.

300421004323440 is a gapful number since it is divisible by the number (30) 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 300421004323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636626168317440).

300421004323440 is an abundant number, since it is smaller than the sum of its proper divisors (972831332311440).

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

300421004323440 is a wasteful number, since it uses less digits than its factorization.

300421004323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70190 (or 70177 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 300421004323440 its reverse (44323400124003), we get a palindrome (344744404447443).

The spelling of 300421004323440 in words is "three hundred trillion, four hundred twenty-one billion, four million, three hundred twenty-three thousand, four hundred forty".