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244392800640 = 2735353360589
BaseRepresentation
bin1110001110011011110…
…0100011000110000000
3212100211011011121121220
43203212330203012000
513001004024110030
6304134505515040
723441165346522
oct3434674430600
9770734147556
10244392800640
119471240139a
123b4467a2a80
131a07a4b3851
14bb85c51a12
156555921a10
hex38e6f23180

244392800640 has 128 divisors (see below), whose sum is σ = 781211023200. Its totient is φ = 64986611712.

The previous prime is 244392800621. The next prime is 244392800731. The reversal of 244392800640 is 46008293442.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 244392800592 and 244392800601.

It is a congruent number.

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, 497466 + ... + 858054.

Almost surely, 2244392800640 is an apocalyptic number.

244392800640 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 244392800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390605511600).

244392800640 is an abundant number, since it is smaller than the sum of its proper divisors (536818222560).

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

244392800640 is a wasteful number, since it uses less digits than its factorization.

244392800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360964 (or 360952 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 244392800640 in words is "two hundred forty-four billion, three hundred ninety-two million, eight hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 353 384 480 640 706 960 1059 1412 1765 1920 2118 2824 3530 4236 5295 5648 7060 8472 10590 11296 14120 16944 21180 22592 28240 33888 42360 45184 56480 67776 84720 112960 135552 169440 225920 338880 360589 677760 721178 1081767 1442356 1802945 2163534 2884712 3605890 4327068 5408835 5769424 7211780 8654136 10817670 11538848 14423560 17308272 21635340 23077696 28847120 34616544 43270680 46155392 57694240 69233088 86541360 115388480 127287917 138466176 173082720 230776960 254575834 346165440 381863751 509151668 636439585 692330880 763727502 1018303336 1272879170 1527455004 1909318755 2036606672 2545758340 3054910008 3818637510 4073213344 5091516680 6109820016 7637275020 8146426688 10183033360 12219640032 15274550040 16292853376 20366066720 24439280064 30549100080 40732133440 48878560128 61098200160 81464266880 122196400320 244392800640