Search a number
-
+
2314330221024 = 253323306138047
BaseRepresentation
bin100001101011011000110…
…101001010100111100000
322012020200122121112101000
4201223120311022213200
5300404222014033044
64531104424312000
7326130155204433
oct41533065124740
98166618545330
102314330221024
11812558091258
12314648612600
1313a3182213b3
148002aca781a
154030379cd69
hex21ad8d4a9e0

2314330221024 has 192 divisors, whose sum is σ = 7046099988480. Its totient is φ = 737641935360.

The previous prime is 2314330221019. The next prime is 2314330221067. The reversal of 2314330221024 is 4201220334132.

2314330221024 is a `hidden beast` number, since 2 + 3 + 1 + 433 + 0 + 221 + 0 + 2 + 4 = 666.

It is a super-2 number, since 2×23143302210242 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 60809169 + ... + 60847215.

It is an arithmetic number, because the mean of its divisors is an integer number (36698437440).

Almost surely, 22314330221024 is an apocalyptic number.

2314330221024 is a gapful number since it is divisible by the number (24) 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 2314330221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523049994240).

2314330221024 is an abundant number, since it is smaller than the sum of its proper divisors (4731769767456).

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

2314330221024 is a wasteful number, since it uses less digits than its factorization.

2314330221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41150 (or 41136 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2314330221024 its reverse (4201220334132), we get a palindrome (6515550555156).

The spelling of 2314330221024 in words is "two trillion, three hundred fourteen billion, three hundred thirty million, two hundred twenty-one thousand, twenty-four".