Search a number
-
+
134754086481024 = 2731720642476483
BaseRepresentation
bin11110101000111011100001…
…011101001110110010000000
3122200010100211222110022011210
4132220323201131032302000
5120130302332114343044
61154333101150210120
740245442612065663
oct3650734135166200
9580110758408153
10134754086481024
1139a3398387218a
12131442b2ab3940
135a2634309b27a
14253c1bdb596da
15108a3e2b0a1b9
hex7a8ee174ec80

134754086481024 has 64 divisors (see below), whose sum is σ = 378995868246240. Its totient is φ = 42275791835136.

The previous prime is 134754086481017. The next prime is 134754086481097. The reversal of 134754086481024 is 420184680457431.

134754086481024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10321231714 + ... + 10321244769.

Almost surely, 2134754086481024 is an apocalyptic number.

It is an amenable number.

134754086481024 is an abundant number, since it is smaller than the sum of its proper divisors (244241781765216).

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

134754086481024 is a wasteful number, since it uses less digits than its factorization.

134754086481024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20642476517 (or 20642476505 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 57.

The spelling of 134754086481024 in words is "one hundred thirty-four trillion, seven hundred fifty-four billion, eighty-six million, four hundred eighty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 20642476483 41284952966 61927429449 82569905932 123854858898 165139811864 247709717796 330279623728 350922100211 495419435592 660559247456 701844200422 990838871184 1052766300633 1321118494912 1403688400844 1981677742368 2105532601266 2642236989824 2807376801688 3963355484736 4211065202532 5614753603376 7926710969472 8422130405064 11229507206752 16844260810128 22459014413504 33688521620256 44918028827008 67377043240512 134754086481024