Search a number
-
+
244354054304 = 25471492833853
BaseRepresentation
bin1110001110010010100…
…0101111100010100000
3212100201110021002122102
43203210220233202200
513000414114214204
6304131003225532
723440215122453
oct3434450574240
9770643232572
10244354054304
11946a2547728
123b4358182a8
131a072468819
14bb80a4749a
15655231b41e
hex38e4a2f8a0

244354054304 has 96 divisors (see below), whose sum is σ = 496481529600. Its totient is φ = 118324564992.

The previous prime is 244354054297. The next prime is 244354054363. The reversal of 244354054304 is 403450453442.

244354054304 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63417242 + ... + 63421094.

It is an arithmetic number, because the mean of its divisors is an integer number (5171682600).

Almost surely, 2244354054304 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 244354054304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248240764800).

244354054304 is an abundant number, since it is smaller than the sum of its proper divisors (252127475296).

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

244354054304 is a wasteful number, since it uses less digits than its factorization.

244354054304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 38.

The spelling of 244354054304 in words is "two hundred forty-four billion, three hundred fifty-four million, fifty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 47 94 149 188 283 298 376 566 596 752 1132 1192 1504 2264 2384 3853 4528 4768 7003 7706 9056 13301 14006 15412 26602 28012 30824 42167 53204 56024 61648 84334 106408 112048 123296 168668 181091 212816 224096 337336 362182 425632 574097 674672 724364 1090399 1148194 1349344 1448728 1981849 2180798 2296388 2897456 3963698 4361596 4592776 5794912 7927396 8723192 9185552 15854792 17446384 18371104 26982559 31709584 34892768 51248753 53965118 63419168 102497506 107930236 162469451 204995012 215860472 324938902 409990024 431720944 649877804 819980048 863441888 1299755608 1639960096 2599511216 5199022432 7636064197 15272128394 30544256788 61088513576 122177027152 244354054304