Search a number
-
+
138912542928 = 24325318201329
BaseRepresentation
bin1000000101011111010…
…1010011000011010000
3111021120001110100002100
42001113311103003100
54233443102333203
6143452053520400
713015245063345
oct2012765230320
9437501410070
10138912542928
1153a04566595
1222b09643100
131013a4b3483
146a1b0367cc
153930516ea3
hex2057d530d0

138912542928 has 60 divisors (see below), whose sum is σ = 396097343460. Its totient is φ = 45430514688.

The previous prime is 138912542897. The next prime is 138912542957. The reversal of 138912542928 is 829245219831.

138912542928 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 1 + 2 + 542 + 92 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 118892556864 + 20019986064 = 344808^2 + 141492^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9093033 + ... + 9108296.

It is an arithmetic number, because the mean of its divisors is an integer number (6601622391).

Almost surely, 2138912542928 is an apocalyptic number.

138912542928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138912542928 is an abundant number, since it is smaller than the sum of its proper divisors (257184800532).

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

138912542928 is a wasteful number, since it uses less digits than its factorization.

138912542928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18201396 (or 18201387 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 138912542928 in words is "one hundred thirty-eight billion, nine hundred twelve million, five hundred forty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 18201329 36402658 54603987 72805316 109207974 145610632 163811961 218415948 291221264 327623922 436831896 655247844 873663792 964670437 1310495688 1929340874 2620991376 2894011311 3858681748 5788022622 7717363496 8682033933 11576045244 15434726992 17364067866 23152090488 34728135732 46304180976 69456271464 138912542928