Search a number
-
+
45056266011240 = 233511127268767991
BaseRepresentation
bin10100011111010011110101…
…01110110000001001101000
312220112100002122110122211220
422033221322232300021220
521401200213044324430
6235454321324422040
712330131163026031
oct1217517256601150
9186470078418756
1045056266011240
11133a1289604670
1250782583a7920
131c1aa316248b3
14b1aa40847a88
1553203be64110
hex28fa7abb0268

45056266011240 has 128 divisors (see below), whose sum is σ = 148617948856320. Its totient is φ = 10836725356800.

The previous prime is 45056266011223. The next prime is 45056266011247. The reversal of 45056266011240 is 4211066265054.

45056266011240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45056266011192 and 45056266011201.

It is not an unprimeable number, because it can be changed into a prime (45056266011247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 134216356 + ... + 134551635.

It is an arithmetic number, because the mean of its divisors is an integer number (1161077725440).

Almost surely, 245056266011240 is an apocalyptic number.

45056266011240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45056266011240 is an abundant number, since it is smaller than the sum of its proper divisors (103561682845080).

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

45056266011240 is a wasteful number, since it uses less digits than its factorization.

45056266011240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268768143 (or 268768139 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 45056266011240 in words is "forty-five trillion, fifty-six billion, two hundred sixty-six million, eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 127 132 165 220 254 264 330 381 440 508 635 660 762 1016 1270 1320 1397 1524 1905 2540 2794 3048 3810 4191 5080 5588 6985 7620 8382 11176 13970 15240 16764 20955 27940 33528 41910 55880 83820 167640 268767991 537535982 806303973 1075071964 1343839955 1612607946 2150143928 2687679910 2956447901 3225215892 4031519865 5375359820 5912895802 6450431784 8063039730 8869343703 10750719640 11825791604 14782239505 16126079460 17738687406 23651583208 29564479010 32252158920 34133534857 35477374812 44346718515 59128958020 68267069714 70954749624 88693437030 102400604571 118257916040 136534139428 170667674285 177386874060 204801209142 273068278856 341335348570 354773748120 375468883427 409602418284 512003022855 682670697140 750937766854 819204836568 1024006045710 1126406650281 1365341394280 1501875533708 1877344417135 2048012091420 2252813300562 3003751067416 3754688834270 4096024182840 4505626601124 5632033251405 7509377668540 9011253202248 11264066502810 15018755337080 22528133005620 45056266011240