Search a number
-
+
138842220255039 = 32717196823048811
BaseRepresentation
bin11111100100011010111001…
…001101111101011100111111
3200012121012001001101121110100
4133210122321031331130333
5121144242331341130124
61211143122505012143
741150006435603430
oct3744327115753477
9605535031347410
10138842220255039
114026a7227a7714
12136a4676784053
135c619c417c132
14263dddc1a1487
15110b9111a61c9
hex7e46b937d73f

138842220255039 has 48 divisors (see below), whose sum is σ = 255454947521280. Its totient is φ = 70741370062080.

The previous prime is 138842220254999. The next prime is 138842220255119. The reversal of 138842220255039 is 930552022248831.

It is a happy number.

138842220255039 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 422 + 202 + 5 + 5 + 0 + 3 + 9 = 666.

It is not a de Polignac number, because 138842220255039 - 211 = 138842220252991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138842220253039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3411504057 + ... + 3411544754.

It is an arithmetic number, because the mean of its divisors is an integer number (5321978073360).

Almost surely, 2138842220255039 is an apocalyptic number.

138842220255039 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

138842220255039 is a deficient number, since it is larger than the sum of its proper divisors (116612727266241).

138842220255039 is a wasteful number, since it uses less digits than its factorization.

138842220255039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823048860 (or 6823048857 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 138842220255039 in words is "one hundred thirty-eight trillion, eight hundred forty-two billion, two hundred twenty million, two hundred fifty-five thousand, thirty-nine".

Divisors: 1 3 7 9 17 19 21 51 57 63 119 133 153 171 323 357 399 969 1071 1197 2261 2907 6783 20349 6823048811 20469146433 47761341677 61407439299 115991829787 129637927409 143284025031 347975489361 388913782227 429852075093 811942808509 907465491863 1043926468083 1166741346681 2203844765953 2435828425527 2722396475589 6611534297859 7307485276581 8167189426767 15426913361671 19834602893577 46280740085013 138842220255039