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40480464618306 = 23211385329537901
BaseRepresentation
bin10010011010001000101111…
…01101101100001101000010
312022022220011011212111210200
421031010113231230031002
520301212442420241211
6222032245124310030
711345421435651456
oct1115042755541502
9168286134774720
1040480464618306
1111997739a54119
124659475842316
1319783a338528b
149dd39cddc666
154a2eca7adb56
hex24d117b6c342

40480464618306 has 96 divisors (see below), whose sum is σ = 88628795145072. Its totient is φ = 13352184115200.

The previous prime is 40480464618301. The next prime is 40480464618401. The reversal of 40480464618306 is 60381646408404.

It is a happy number.

40480464618306 is a `hidden beast` number, since 4 + 0 + 48 + 0 + 464 + 61 + 83 + 0 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7779965769081 + 32700498849225 = 2789259^2 + 5718435^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40480464618301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5123456956 + ... + 5123464856.

Almost surely, 240480464618306 is an apocalyptic number.

40480464618306 is an abundant number, since it is smaller than the sum of its proper divisors (48148330526766).

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

40480464618306 is a wasteful number, since it uses less digits than its factorization.

40480464618306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11828 (or 11825 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 40480464618306 in words is "forty trillion, four hundred eighty billion, four hundred sixty-four million, six hundred eighteen thousand, three hundred six".

Divisors: 1 2 3 6 9 18 113 226 339 678 853 1017 1706 2034 2559 2953 5118 5906 7677 7901 8859 15354 15802 17718 23703 26577 47406 53154 71109 96389 142218 192778 289167 333689 578334 667378 867501 892813 1001067 1735002 1785626 2002134 2518909 2678439 3003201 5037818 5356878 6006402 6739553 7556727 8035317 13479106 15113454 16070634 20218659 22670181 23331653 40437318 45340362 46663306 60655977 69994959 121311954 139989918 209984877 284636717 419969754 569273434 761569489 853910151 1523138978 1707820302 2284708467 2561730453 2636476789 4569416934 5123460906 5272953578 6854125401 7909430367 13708250802 15818860734 19901900009 23728291101 39803800018 47456582202 59705700027 119411400054 179117100081 358234200162 2248914701017 4497829402034 6746744103051 13493488206102 20240232309153 40480464618306