Search a number
-
+
128014434279 = 3247917296843
BaseRepresentation
bin111011100111001000…
…0010011111111100111
3110020102112202001111200
41313032100103333213
54044133143344104
6134450425333543
712151213511004
oct1671620237747
9406375661450
10128014434279
114a3218a1226
12209879372b3
13c0c1712484
1462a58ca8ab
1534e38a2b39
hex1dce413fe7

128014434279 has 12 divisors (see below), whose sum is σ = 184914220296. Its totient is φ = 85340887632.

The previous prime is 128014434269. The next prime is 128014434299. The reversal of 128014434279 is 972434410821.

128014434279 is a `hidden beast` number, since 1 + 2 + 80 + 144 + 3 + 427 + 9 = 666.

It is not a de Polignac number, because 128014434279 - 215 = 128014401511 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128014434269) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 282832 + ... + 579674.

It is an arithmetic number, because the mean of its divisors is an integer number (15409518358).

Almost surely, 2128014434279 is an apocalyptic number.

128014434279 is a deficient number, since it is larger than the sum of its proper divisors (56899786017).

128014434279 is a wasteful number, since it uses less digits than its factorization.

128014434279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344766 (or 344763 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 128014434279 in words is "one hundred twenty-eight billion, fourteen million, four hundred thirty-four thousand, two hundred seventy-nine".

Divisors: 1 3 9 47917 143751 296843 431253 890529 2671587 14223826031 42671478093 128014434279