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544454013224 = 231121676195441
BaseRepresentation
bin1111110110000111111…
…11001111000100101000
31221001022221021120020202
413323003333033010220
532410020211410344
61054041351011332
754223035516422
oct7730377170450
91831287246222
10544454013224
1119a9a1107600
1289628669b48
133c459bc5304
141c4cd169812
15e26867294e
hex7ec3fcf128

544454013224 has 96 divisors (see below), whose sum is σ = 1130843246400. Its totient is φ = 245554636800.

The previous prime is 544454013221. The next prime is 544454013253. The reversal of 544454013224 is 422310454445.

It is not an unprimeable number, because it can be changed into a prime (544454013221) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 100062344 + ... + 100067784.

It is an arithmetic number, because the mean of its divisors is an integer number (11779617150).

Almost surely, 2544454013224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544454013224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565421623200).

544454013224 is an abundant number, since it is smaller than the sum of its proper divisors (586389233176).

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

544454013224 is a wasteful number, since it uses less digits than its factorization.

544454013224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6255 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 38.

Adding to 544454013224 its reverse (422310454445), we get a palindrome (966764467669).

The spelling of 544454013224 in words is "five hundred forty-four billion, four hundred fifty-four million, thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 167 242 334 484 619 668 968 1238 1336 1837 2476 3674 4952 5441 6809 7348 10882 13618 14696 20207 21764 27236 40414 43528 54472 59851 74899 80828 103373 119702 149798 161656 206746 239404 299596 413492 478808 599192 658361 826984 908647 1137103 1316722 1817294 2274206 2633444 3367979 3634588 4548412 5266888 6735958 7269176 9096824 9995117 12508133 13471916 19990234 25016266 26943832 37047769 39980468 50032532 74095538 79960936 100065064 109946287 148191076 219892574 296382152 407525459 439785148 562452493 815050918 879570296 1124904986 1630101836 2249809972 3260203672 4499619944 6186977423 12373954846 24747909692 49495819384 68056751653 136113503306 272227006612 544454013224