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4244242432300 = 22521310188136691
BaseRepresentation
bin111101110000110000100…
…100000000000100101100
3120000202010112220210222021
4331300300210000010230
51024014202030313200
613005440020555524
7615431166300163
oct75606044000454
916022115823867
104244242432300
111396a7822a002
12586690252ba4
1324a2cc0b1820
141095cb20c3da
15756085c841a
hex3dc3090012c

4244242432300 has 144 divisors (see below), whose sum is σ = 10028313709344. Its totient is φ = 1549785600000.

The previous prime is 4244242432289. The next prime is 4244242432319. The reversal of 4244242432300 is 32342424424.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115656955 + ... + 115693645.

It is an arithmetic number, because the mean of its divisors is an integer number (69641067426).

Almost surely, 24244242432300 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 4244242432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014156854672).

4244242432300 is an abundant number, since it is smaller than the sum of its proper divisors (5784071277044).

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

4244242432300 is a wasteful number, since it uses less digits than its factorization.

4244242432300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37700 (or 37693 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

Adding to 4244242432300 its reverse (32342424424), we get a palindrome (4276584856724).

The spelling of 4244242432300 in words is "four trillion, two hundred forty-four billion, two hundred forty-two million, four hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 101 130 202 260 325 404 505 650 881 1010 1300 1313 1762 2020 2525 2626 3524 4405 5050 5252 6565 8810 10100 11453 13130 17620 22025 22906 26260 32825 36691 44050 45812 57265 65650 73382 88100 88981 114530 131300 146764 177962 183455 229060 286325 355924 366910 444905 476983 572650 733820 889810 917275 953966 1145300 1156753 1779620 1834550 1907932 2224525 2313506 2384915 3669100 3705791 4449050 4627012 4769830 5783765 7411582 8898100 9539660 11567530 11924575 14823164 18528955 23135060 23849150 28918825 32324771 37057910 47698300 48175283 57837650 64649542 74115820 92644775 96350566 115675300 129299084 161623855 185289550 192701132 240876415 323247710 370579100 420222023 481752830 646495420 808119275 840444046 963505660 1204382075 1616238550 1680888092 2101110115 2408764150 3232477100 3264801871 4202220230 4817528300 6529603742 8404440460 10505550575 13059207484 16324009355 21011101150 32648018710 42022202300 42442424323 65296037420 81620046775 84884848646 163240093550 169769697292 212212121615 326480187100 424424243230 848848486460 1061060608075 2122121216150 4244242432300