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244221341424 = 24389178731991
BaseRepresentation
bin1110001101110010111…
…0011110111011110000
3212100101012112120210120
43203130232132323300
513000131130411144
6304105502530240
723434014102444
oct3433456367360
9770335476716
10244221341424
1194634642565
123b3b9296980
131a050b102a8
14bb6b17c824
156545853e19
hex38dcb9eef0

244221341424 has 80 divisors (see below), whose sum is σ = 638370927360. Its totient is φ = 80444869120.

The previous prime is 244221341411. The next prime is 244221341431. The reversal of 244221341424 is 424143122442.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7618069 + ... + 7650059.

It is an arithmetic number, because the mean of its divisors is an integer number (7979636592).

Almost surely, 2244221341424 is an apocalyptic number.

244221341424 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 244221341424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319185463680).

244221341424 is an abundant number, since it is smaller than the sum of its proper divisors (394149585936).

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

244221341424 is a wasteful number, since it uses less digits than its factorization.

244221341424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33878 (or 33872 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

Adding to 244221341424 its reverse (424143122442), we get a palindrome (668364463866).

The spelling of 244221341424 in words is "two hundred forty-four billion, two hundred twenty-one million, three hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 1787 2136 3574 4272 5361 7148 10722 14296 21444 28592 31991 42888 63982 85776 95973 127964 159043 191946 255928 318086 383892 477129 511856 636172 767784 954258 1272344 1535568 1908516 2544688 2847199 3817032 5694398 7634064 8541597 11388796 17083194 22777592 34166388 45555184 57167917 68332776 114335834 136665552 171503751 228671668 343007502 457343336 686015004 914686672 1372030008 2744060016 5087944613 10175889226 15263833839 20351778452 30527667678 40703556904 61055335356 81407113808 122110670712 244221341424