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4004410124013 = 313377935127329
BaseRepresentation
bin111010010001011001011…
…100010110011011101101
3112011211002020010012202120
4322101121130112123231
51011102012442432023
612303333422143153
7562211005305405
oct72213134263355
915154066105676
104004410124013
111304296136062
125480b8a21ab9
132307ca694880
14dbb58d31805
156e26d2438e3
hex3a4597166ed

4004410124013 has 32 divisors (see below), whose sum is σ = 5980076659200. Its totient is φ = 2367300888576.

The previous prime is 4004410124009. The next prime is 4004410124147. The reversal of 4004410124013 is 3104210144004.

It is not a de Polignac number, because 4004410124013 - 22 = 4004410124009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004410134013) 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, 17449668 + ... + 17677661.

It is an arithmetic number, because the mean of its divisors is an integer number (186877395600).

Almost surely, 24004410124013 is an apocalyptic number.

It is an amenable number.

4004410124013 is a deficient number, since it is larger than the sum of its proper divisors (1975666535187).

4004410124013 is a wasteful number, since it uses less digits than its factorization.

4004410124013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35127461.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4004410124013 its reverse (3104210144004), we get a palindrome (7108620268017).

The spelling of 4004410124013 in words is "four trillion, four billion, four hundred ten million, one hundred twenty-four thousand, thirteen".

Divisors: 1 3 13 37 39 79 111 237 481 1027 1443 2923 3081 8769 37999 113997 35127329 105381987 456655277 1299711173 1369965831 2775058991 3899133519 8325176973 16896245249 36075766883 50688735747 102677182667 108227300649 308031548001 1334803374671 4004410124013