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405200041534001 = 710315719971792489
BaseRepresentation
bin101110000100001101111110…
…0100010011110001000110001
31222010200202010120211001222202
41130020123330202132020301
5411102244141113042001
63553442155043512545
7151230510523446050
oct13410337442361061
91863622116731882
10405200041534001
111081224109a247a
1239542596088755
131451327a413ccc
14720bb02804397
1531ca2b277a96b
hex17086fc89e231

405200041534001 has 32 divisors (see below), whose sum is σ = 470795863749120. Its totient is φ = 341580299014656.

The previous prime is 405200041533929. The next prime is 405200041534111. The reversal of 405200041534001 is 100435140002504.

It is a cyclic number.

It is not a de Polignac number, because 405200041534001 - 222 = 405200037339697 is a prime.

It is a super-2 number, since 2×4052000415340012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (405200041539001) 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 31 ways as a sum of consecutive naturals, for example, 225158165 + ... + 226950653.

It is an arithmetic number, because the mean of its divisors is an integer number (14712370742160).

Almost surely, 2405200041534001 is an apocalyptic number.

It is an amenable number.

405200041534001 is a deficient number, since it is larger than the sum of its proper divisors (65595822215119).

405200041534001 is a wasteful number, since it uses less digits than its factorization.

405200041534001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794753.

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 405200041534001 its reverse (100435140002504), we get a palindrome (505635181536505).

The spelling of 405200041534001 in words is "four hundred five trillion, two hundred billion, forty-one million, five hundred thirty-four thousand, one".

Divisors: 1 7 103 157 721 1099 1997 13979 16171 113197 205691 313529 1439837 1792489 2194703 12547423 32293487 184626367 226054409 281420773 1292384569 1969945411 3579600533 25057203731 28986339619 202904377333 368698854899 561997283681 2580891984293 3933980985767 57885720219143 405200041534001