Search a number
-
+
244244232332000 = 2553292105553727
BaseRepresentation
bin110111100010001110001010…
…101101001110001011100000
31012000210112001111110201211222
4313202032022231032023200
5224003144141434111000
62223244130142154212
7102306030524063555
oct6742161255161340
91160715044421758
10244244232332000
117090744079896a
1223488203282968
13a63919480ca44
1444456abc3ca2c
151d3854653ba85
hexde238ab4e2e0

244244232332000 has 96 divisors (see below), whose sum is σ = 620801461163520. Its totient is φ = 94328806924800.

The previous prime is 244244232331993. The next prime is 244244232332017. The reversal of 244244232332000 is 233232442442.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1052660864 + ... + 1052892863.

It is an arithmetic number, because the mean of its divisors is an integer number (6466681887120).

Almost surely, 2244244232332000 is an apocalyptic number.

244244232332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244244232332000 is an abundant number, since it is smaller than the sum of its proper divisors (376557228831520).

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

244244232332000 is a wasteful number, since it uses less digits than its factorization.

244244232332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105553781 (or 2105553763 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 35.

Adding to 244244232332000 its reverse (233232442442), we get a palindrome (244477464774442).

The spelling of 244244232332000 in words is "two hundred forty-four trillion, two hundred forty-four billion, two hundred thirty-two million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 725 800 928 1000 1160 1450 2000 2320 2900 3625 4000 4640 5800 7250 11600 14500 23200 29000 58000 116000 2105553727 4211107454 8422214908 10527768635 16844429816 21055537270 33688859632 42111074540 52638843175 61061058083 67377719264 84222149080 105277686350 122122116166 168444298160 210555372700 244244232332 263194215875 305305290415 336888596320 421110745400 488488464664 526388431750 610610580830 842221490800 976976929328 1052776863500 1221221161660 1526526452075 1684442981600 1953953858656 2105553727000 2442442323320 3053052904150 4211107454000 4884884646640 6106105808300 7632632260375 8422214908000 9769769293280 12212211616600 15265264520750 24424423233200 30530529041500 48848846466400 61061058083000 122122116166000 244244232332000