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138044466 = 2337329257
BaseRepresentation
bin10000011101001…
…10010000110010
3100121202101102000
420032212100302
5240314410331
621410434430
73264234000
oct1016462062
9317671360
10138044466
1170a1693a
123a292a16
13227a4221
1414495a70
15c1bc0e6
hex83a6432

138044466 has 128 divisors (see below), whose sum is σ = 371520000. Its totient is φ = 37933056.

The previous prime is 138044449. The next prime is 138044497. The reversal of 138044466 is 664440831.

It is a super-3 number, since 3×1380444663 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 138044466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 537010 + ... + 537266.

It is an arithmetic number, because the mean of its divisors is an integer number (2902500).

Almost surely, 2138044466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138044466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185760000).

138044466 is an abundant number, since it is smaller than the sum of its proper divisors (233475534).

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

138044466 is a wasteful number, since it uses less digits than its factorization.

138044466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 138044466 is about 11749.2325706831. The cubic root of 138044466 is about 516.8204228247.

The spelling of 138044466 in words is "one hundred thirty-eight million, forty-four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 87 98 126 147 174 189 203 257 261 294 343 378 406 441 514 522 609 686 771 783 882 1029 1218 1323 1421 1542 1566 1799 1827 2058 2313 2646 2842 3087 3598 3654 4263 4626 5397 5481 6174 6939 7453 8526 9261 9947 10794 10962 12593 12789 13878 14906 16191 18522 19894 22359 25186 25578 29841 32382 37779 38367 44718 48573 52171 59682 67077 75558 76734 88151 89523 97146 104342 113337 134154 156513 176302 179046 201231 226674 264453 268569 313026 340011 365197 402462 469539 528906 537138 680022 730394 793359 939078 1095591 1408617 1586718 2191182 2380077 2556379 2817234 3286773 4760154 5112758 6573546 7669137 9860319 15338274 19720638 23007411 46014822 69022233 138044466