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140406145506 = 232112347655987
BaseRepresentation
bin1000001011000011011…
…0111100000111100010
3111102102010221012122100
42002300312330013202
54300022433124011
6144300210551230
713100252354664
oct2026066740742
9442363835570
10140406145506
1154600677290
1223265898516
1310317a75893
146b1d552534
1539bb6ead56
hex20b0dbc1e2

140406145506 has 96 divisors (see below), whose sum is σ = 353666746368. Its totient is φ = 39831469920.

The previous prime is 140406145487. The next prime is 140406145511. The reversal of 140406145506 is 605541604041.

140406145506 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 0 + 6 + 145 + 506 = 666.

140406145506 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 113956 + ... + 542031.

It is an arithmetic number, because the mean of its divisors is an integer number (3684028608).

Almost surely, 2140406145506 is an apocalyptic number.

140406145506 is an abundant number, since it is smaller than the sum of its proper divisors (213260600862).

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

140406145506 is a wasteful number, since it uses less digits than its factorization.

140406145506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656076 (or 656073 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 140406145506 its reverse (605541604041), we get a palindrome (745947749547).

The spelling of 140406145506 in words is "one hundred forty billion, four hundred six million, one hundred forty-five thousand, five hundred six".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 47 66 69 94 99 138 141 198 207 253 282 414 423 506 517 759 846 1034 1081 1518 1551 2162 2277 3102 3243 4554 4653 6486 9306 9729 11891 19458 23782 35673 71346 107019 214038 655987 1311974 1967961 3935922 5903883 7215857 11807766 14431714 15087701 21647571 30175402 30831389 43295142 45263103 61662778 64942713 90526206 92494167 129885426 135789309 165964711 184988334 271578618 277482501 331929422 339145279 497894133 554965002 678290558 709121947 995788266 1017435837 1418243894 1493682399 2034871674 2127365841 2987364798 3052307511 4254731682 6104615022 6382097523 7800341417 12764195046 15600682834 23401024251 46802048502 70203072753 140406145506