Search a number
-
+
11274211432000 = 265311128116039
BaseRepresentation
bin1010010000001111101101…
…0111100001011001000000
31110220210201011211201022101
42210003323113201121000
52434204041111311000
635551145022120144
72242351316663356
oct244037327413100
943823634751271
1011274211432000
1136574034873a0
121321026720054
1363a1cc539b6a
142ad9636dd7d6
15148404d2ae6a
hexa40fb5e1640

11274211432000 has 112 divisors (see below), whose sum is σ = 30458819813760. Its totient is φ = 4099713216000.

The previous prime is 11274211431979. The next prime is 11274211432009. The reversal of 11274211432000 is 23411247211.

It is a self number, because there is not a number n which added to its sum of digits gives 11274211432000.

It is not an unprimeable number, because it can be changed into a prime (11274211432009) 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 15 ways as a sum of consecutive naturals, for example, 63970020 + ... + 64146019.

Almost surely, 211274211432000 is an apocalyptic number.

11274211432000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11274211432000 is an abundant number, since it is smaller than the sum of its proper divisors (19184608381760).

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

11274211432000 is a wasteful number, since it uses less digits than its factorization.

11274211432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128116077 (or 128116057 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

Adding to 11274211432000 its reverse (23411247211), we get a palindrome (11297622679211).

The spelling of 11274211432000 in words is "eleven trillion, two hundred seventy-four billion, two hundred eleven million, four hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 17600 22000 44000 88000 128116039 256232078 512464156 640580195 1024928312 1281160390 1409276429 2049856624 2562320780 2818552858 3202900975 4099713248 5124641560 5637105716 6405801950 7046382145 8199426496 10249283120 11274211432 12811603900 14092764290 16014504875 20498566240 22548422864 25623207800 28185528580 32029009750 35231910725 40997132480 45096845728 51246415600 56371057160 64058019500 70463821450 90193691456 102492831200 112742114320 128116039000 140927642900 176159553625 204985662400 225484228640 256232078000 281855285800 352319107250 450968457280 512464156000 563710571600 704638214500 1024928312000 1127421143200 1409276429000 2254842286400 2818552858000 5637105716000 11274211432000