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128428340161 = 112325792
BaseRepresentation
bin111011110011011101…
…1001111001111000001
3110021111101120122122011
41313212323033033001
54101010123341121
6134555453012521
712164400610462
oct1674673171701
9407441518564
10128428340161
114a5144a4900
1220a82484141
13c1593b23b4
146304870d69
153519db17e1
hex1de6ecf3c1

128428340161 has 9 divisors (see below), whose sum is σ = 141169368193. Its totient is φ = 116749452820.

The previous prime is 128428340143. The next prime is 128428340207. The reversal of 128428340161 is 161043824821.

The square root of 128428340161 is 358369.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 128428340161 - 235 = 94068601793 is a prime.

It is a super-3 number, since 3×1284283401613 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128428347161) 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 8 ways as a sum of consecutive naturals, for example, 3925770 + ... + 3958348.

Almost surely, 2128428340161 is an apocalyptic number.

128428340161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

128428340161 is the 358369-th square number.

128428340161 is the 179185-th centered octagonal number.

It is an amenable number.

128428340161 is a deficient number, since it is larger than the sum of its proper divisors (12741028032).

128428340161 is an frugal number, since it uses more digits than its factorization.

128428340161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65180 (or 32590 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 128428340161 in words is "one hundred twenty-eight billion, four hundred twenty-eight million, three hundred forty thousand, one hundred sixty-one".

Divisors: 1 11 121 32579 358369 3942059 1061391241 11675303651 128428340161