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244441334000 = 24531712135927
BaseRepresentation
bin1110001110100111010…
…1101100000011110000
3212100221112111100212202
43203221311230003300
513001103440142000
6304143402042332
723442325025303
oct3435165540360
9770845440782
10244441334000
1194737840206
123b45aaa93a8
131a087577506
14bb8c486b3a
156559d0bdd5
hex38e9d6c0f0

244441334000 has 160 divisors (see below), whose sum is σ = 626448940416. Its totient is φ = 91933593600.

The previous prime is 244441333999. The next prime is 244441334003. The reversal of 244441334000 is 433144442.

It is a happy number.

244441334000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244441334003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41239037 + ... + 41244963.

Almost surely, 2244441334000 is an apocalyptic number.

244441334000 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 244441334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313224470208).

244441334000 is an abundant number, since it is smaller than the sum of its proper divisors (382007606416).

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

244441334000 is a wasteful number, since it uses less digits than its factorization.

244441334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7180 (or 7164 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 244441334000 its reverse (433144442), we get a palindrome (244874478442).

The spelling of 244441334000 in words is "two hundred forty-four billion, four hundred forty-one million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1213 1360 1700 2000 2125 2426 3400 4250 4852 5927 6065 6800 8500 9704 11854 12130 17000 19408 20621 23708 24260 29635 30325 34000 41242 47416 48520 59270 60650 82484 94832 97040 100759 103105 118540 121300 148175 151625 164968 201518 206210 237080 242600 296350 303250 329936 403036 412420 474160 485200 503795 515525 592700 606500 740875 806072 824840 1007590 1031050 1185400 1213000 1481750 1612144 1649680 2015180 2062100 2370800 2426000 2518975 2577625 2963500 4030360 4124200 5037950 5155250 5927000 7189451 8060720 8248400 10075900 10310500 11854000 12594875 14378902 20151800 20621000 25189750 28757804 35947255 40303600 41242000 50379500 57515608 71894510 100759000 115031216 122220667 143789020 179736275 201518000 244441334 287578040 359472550 488882668 575156080 611103335 718945100 898681375 977765336 1222206670 1437890200 1797362750 1955530672 2444413340 2875780400 3055516675 3594725500 4888826680 6111033350 7189451000 9777653360 12222066700 14378902000 15277583375 24444133400 30555166750 48888266800 61110333500 122220667000 244441334000