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214938030384 = 24337311177757
BaseRepresentation
bin1100100000101101001…
…1100001000100110000
3202112210101211020212000
43020023103201010300
512010143113433014
6242424031534000
721346236054000
oct3101323410460
9675711736760
10214938030384
1183177a07560
12357a638a300
131736507b8cc
14a58ddb4000
1558ceae7509
hex320b4e1130

214938030384 has 640 divisors, whose sum is σ = 831161088000. Its totient is φ = 52537282560.

The previous prime is 214938030311. The next prime is 214938030397. The reversal of 214938030384 is 483030839412.

214938030384 is a `hidden beast` number, since 2 + 1 + 493 + 80 + 3 + 0 + 3 + 84 = 666.

214938030384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27705034 + ... + 27712790.

It is an arithmetic number, because the mean of its divisors is an integer number (1298689200).

Almost surely, 2214938030384 is an apocalyptic number.

214938030384 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 214938030384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415580544000).

214938030384 is an abundant number, since it is smaller than the sum of its proper divisors (616223057616).

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

214938030384 is a wasteful number, since it uses less digits than its factorization.

214938030384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7823 (or 7797 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

Adding to 214938030384 its reverse (483030839412), we get a palindrome (697968869796).

The spelling of 214938030384 in words is "two hundred fourteen billion, nine hundred thirty-eight million, thirty thousand, three hundred eighty-four".