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244134434214 = 233112322973367
BaseRepresentation
bin1110001101011110001…
…0111101010110100110
3212100011011000020112000
43203113202331112212
512444441403343324
6304053120110130
723431610310606
oct3432742752646
9770134006460
10244134434214
119459a583920
123b394165346
131a038b01cc8
14bb5d7d8c06
15653cdd89c9
hex38d78bd5a6

244134434214 has 384 divisors, whose sum is σ = 650561587200. Its totient is φ = 67203924480.

The previous prime is 244134434213. The next prime is 244134434267. The reversal of 244134434214 is 412434431442.

244134434214 is a `hidden beast` number, since 2 + 4 + 4 + 1 + 3 + 4 + 434 + 214 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244134434213) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 665216259 + ... + 665216625.

It is an arithmetic number, because the mean of its divisors is an integer number (1694170800).

Almost surely, 2244134434214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244134434214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325280793600).

244134434214 is an abundant number, since it is smaller than the sum of its proper divisors (406427152986).

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

244134434214 is a wasteful number, since it uses less digits than its factorization.

244134434214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 508 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 244134434214 its reverse (412434431442), we get a palindrome (656568865656).

The spelling of 244134434214 in words is "two hundred forty-four billion, one hundred thirty-four million, four hundred thirty-four thousand, two hundred fourteen".