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4003406456043 = 321133119107241
BaseRepresentation
bin111010010000011101100…
…111101010010011101011
3112011201111021112121010210
4322100131213222103223
51011042434023043133
612303050050112203
7562144100256621
oct72203547522353
915151437477123
104003406456043
1113039206374a5
12547a7887b663
1323069a771cb7
14dbaa190b511
156e21008a763
hex3a41d9ea4eb

4003406456043 has 16 divisors (see below), whose sum is σ = 5379376483712. Its totient is φ = 2648263464000.

The previous prime is 4003406456039. The next prime is 4003406456117. The reversal of 4003406456043 is 3406546043004.

It is not a de Polignac number, because 4003406456043 - 22 = 4003406456039 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4003406455992 and 4003406456010.

It is not an unprimeable number, because it can be changed into a prime (4003406456243) 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 15 ways as a sum of consecutive naturals, for example, 9344098 + ... + 9763143.

It is an arithmetic number, because the mean of its divisors is an integer number (336211030232).

Almost surely, 24003406456043 is an apocalyptic number.

4003406456043 is a deficient number, since it is larger than the sum of its proper divisors (1375970027669).

4003406456043 is a wasteful number, since it uses less digits than its factorization.

4003406456043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19107786.

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 4003406456043 in words is "four trillion, three billion, four hundred six million, four hundred fifty-six thousand, forty-three".

Divisors: 1 3 211 331 633 993 69841 209523 19107241 57321723 4031627851 6324496771 12094883553 18973490313 1334468818681 4003406456043