Search a number
-
+
202004442440080 = 2457659547378177
BaseRepresentation
bin101101111011100011010011…
…000010001110000110010000
3222111020102202220201020200021
4231323203103002032012100
5202434120044231040310
61553343320523233224
760356224253041120
oct5573432302160620
9874212686636607
10202004442440080
115940166a570115
121a7a5993078814
138893c24cc5607
1437c50d24b8c80
1518548ec08a5da
hexb7b8d308e190

202004442440080 has 80 divisors (see below), whose sum is σ = 537569161050240. Its totient is φ = 69153569243136.

The previous prime is 202004442440051. The next prime is 202004442440191. The reversal of 202004442440080 is 80044244400202.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273320049 + ... + 274058128.

It is an arithmetic number, because the mean of its divisors is an integer number (6719614513128).

Almost surely, 2202004442440080 is an apocalyptic number.

202004442440080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202004442440080 is an abundant number, since it is smaller than the sum of its proper divisors (335564718610160).

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

202004442440080 is a wasteful number, since it uses less digits than its factorization.

202004442440080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547378856 (or 547378850 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

Adding to 202004442440080 its reverse (80044244400202), we get a palindrome (282048686840282).

The spelling of 202004442440080 in words is "two hundred two trillion, four billion, four hundred forty-two million, four hundred forty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 659 1318 2636 3295 4613 5272 6590 9226 10544 13180 18452 23065 26360 36904 46130 52720 73808 92260 184520 369040 547378177 1094756354 2189512708 2736890885 3831647239 4379025416 5473781770 7663294478 8758050832 10947563540 15326588956 19158236195 21895127080 30653177912 38316472390 43790254160 61306355824 76632944780 153265889560 306531779120 360722218643 721444437286 1442888874572 1803611093215 2525055530501 2885777749144 3607222186430 5050111061002 5771555498288 7214444372860 10100222122004 12625277652505 14428888745720 20200444244008 25250555305010 28857777491440 40400888488016 50501110610020 101002221220040 202004442440080