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11449118340 = 2234511642487
BaseRepresentation
bin10101010100110101…
…11010111010000100
31002112220112110210000
422222122322322010
5141421433241330
65132030201300
7553501620522
oct125232727204
932486473700
1011449118340
114945802080
122276353230
131105ca5c4a
147a87bd312
15470206560
hex2aa6bae84

11449118340 has 120 divisors (see below), whose sum is σ = 39181488192. Its totient is φ = 2775539520.

The previous prime is 11449118323. The next prime is 11449118377. The reversal of 11449118340 is 4381194411.

11449118340 is a `hidden beast` number, since 114 + 491 + 18 + 3 + 40 = 666.

11449118340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11449118295 and 11449118304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 303424 + ... + 339063.

Almost surely, 211449118340 is an apocalyptic number.

11449118340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11449118340 is an abundant number, since it is smaller than the sum of its proper divisors (27732369852).

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

11449118340 is a wasteful number, since it uses less digits than its factorization.

11449118340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642519 (or 642508 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11449118340 in words is "eleven billion, four hundred forty-nine million, one hundred eighteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 17820 642487 1284974 1927461 2569948 3212435 3854922 5782383 6424870 7067357 7709844 9637305 11564766 12849740 14134714 17347149 19274610 21202071 23129532 28269428 28911915 34694298 35336785 38549220 42404142 52041447 57823830 63606213 69388596 70673570 84808284 86735745 104082894 106010355 115647660 127212426 141347140 173471490 190818639 208165788 212020710 254424852 260207235 318031065 346942980 381637278 424041420 520414470 572455917 636062130 763274556 954093195 1040828940 1144911834 1272124260 1908186390 2289823668 2862279585 3816372780 5724559170 11449118340