Search a number
-
+
11444078934228 = 22331389148353327
BaseRepresentation
bin1010011010001000100001…
…0000100111100011010100
31111112001011112111220122210
42212202020100213203110
52444444433201343403
640201200504153420
72260543641635553
oct246421020474324
944461145456583
1011444078934228
113712452236a76
121349b32a68870
13650230bb25a5
142b7c79925d9a
1514ca47c02b03
hexa68884278d4

11444078934228 has 96 divisors (see below), whose sum is σ = 27654245498880. Its totient is φ = 3679596385920.

The previous prime is 11444078934203. The next prime is 11444078934229. The reversal of 11444078934228 is 82243987044411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11444078934229) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 214575301 + ... + 214628627.

It is an arithmetic number, because the mean of its divisors is an integer number (288065057280).

Almost surely, 211444078934228 is an apocalyptic number.

It is an amenable number.

11444078934228 is an abundant number, since it is smaller than the sum of its proper divisors (16210166564652).

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

11444078934228 is a wasteful number, since it uses less digits than its factorization.

11444078934228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55237 (or 55235 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 11444078934228 in words is "eleven trillion, four hundred forty-four billion, seventy-eight million, nine hundred thirty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 389 778 1167 1483 1556 2334 2966 4449 4668 5932 8898 12059 17796 24118 36177 45973 48236 53327 72354 91946 106654 137919 144708 159981 183892 213308 275838 319962 551676 576887 639924 1153774 1653137 1730661 2307548 3306274 3461322 4959411 6612548 6922644 9918822 17883497 19837644 20744203 35766994 41488406 53650491 62232609 71533988 79083941 82976812 107300982 124465218 158167882 214601964 237251823 248930436 316335764 474503646 643070293 949007292 1286140586 1929210879 2451602171 2572281172 3858421758 4903204342 7354806513 7716843516 9806408684 14709613026 29419226052 30763653049 61527306098 92290959147 123054612196 184581918294 369163836588 953673244519 1907346489038 2861019733557 3814692978076 5722039467114 11444078934228