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14700928604041 = 5327329912
BaseRepresentation
bin1101010111101101001110…
…1000001001011110001001
31221001101122222202022202201
43111323103220021132021
53411330000210312131
651133302515400201
73045051500235361
oct325732350113611
957041588668681
1014700928604041
1147586a0a43239
12179517b2b3061
138283a38c1024
1438b758c179a1
151a7611782761
hexd5ed3a09789

14700928604041 has 27 divisors (see below), whose sum is σ = 15206948808597. Its totient is φ = 14211614514240.

The previous prime is 14700928604039. The next prime is 14700928604051. The reversal of 14700928604041 is 14040682900741.

The square root of 14700928604041 is 3834179.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1256239714041 + 13444688890000 = 1120821^2 + 3666700^2 .

It is not a de Polignac number, because 14700928604041 - 21 = 14700928604039 is a prime.

It is a super-2 number, since 2×147009286040412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14700928603982 and 14700928604000.

It is not an unprimeable number, because it can be changed into a prime (14700928604051) 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 26 ways as a sum of consecutive naturals, for example, 14834438056 + ... + 14834439046.

Almost surely, 214700928604041 is an apocalyptic number.

14700928604041 is the 3834179-th square number.

14700928604041 is the 1917090-th centered octagonal number.

It is an amenable number.

14700928604041 is a deficient number, since it is larger than the sum of its proper divisors (506020204556).

14700928604041 is an frugal number, since it uses more digits than its factorization.

14700928604041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 14700928604041 in words is "fourteen trillion, seven hundred billion, nine hundred twenty-eight million, six hundred four thousand, forty-one".

Divisors: 1 53 73 991 2809 3869 5329 52523 72343 205057 282437 982081 2783719 3834179 5281039 14969161 52050293 71691913 203211487 279895067 2758665529 3799671389 5233509649 14834438551 201382583617 277376011397 14700928604041