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244441134200 = 235223154334439
BaseRepresentation
bin1110001110100111010…
…0111011010001111000
3212100221112010012210202
43203221310323101320
513001103412243300
6304143353501332
723442323233634
oct3435164732170
9770845105722
10244441134200
119473771408a
123b45aa11848
131a0875075a3
14bb8c433dc4
156559cbcad5
hex38e9d3b478

244441134200 has 96 divisors (see below), whose sum is σ = 593437017600. Its totient is φ = 93461976960.

The previous prime is 244441134193. The next prime is 244441134211. The reversal of 244441134200 is 2431144442.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7080581 + ... + 7115019.

It is an arithmetic number, because the mean of its divisors is an integer number (6181635600).

Almost surely, 2244441134200 is an apocalyptic number.

244441134200 is a gapful number since it is divisible by the number (20) 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 244441134200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296718508800).

244441134200 is an abundant number, since it is smaller than the sum of its proper divisors (348995883400).

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

244441134200 is a wasteful number, since it uses less digits than its factorization.

244441134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36021 (or 36012 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 244441134200 its reverse (2431144442), we get a palindrome (246872278642).

The spelling of 244441134200 in words is "two hundred forty-four billion, four hundred forty-one million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 1543 2300 3086 4600 6172 7715 12344 15430 30860 34439 35489 38575 61720 68878 70978 77150 137756 141956 154300 172195 177445 275512 283912 308600 344390 354890 688780 709780 792097 860975 887225 1377560 1419560 1584194 1721950 1774450 3168388 3443900 3548900 3960485 6336776 6887800 7097800 7920970 15841940 19802425 31683880 39604850 53139377 79209700 106278754 158419400 212557508 265696885 425115016 531393770 1062787540 1222205671 1328484425 2125575080 2444411342 2656968850 4888822684 5313937700 6111028355 9777645368 10627875400 12222056710 24444113420 30555141775 48888226840 61110283550 122220567100 244441134200