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4008146020481 is a prime number
BaseRepresentation
bin111010010100111000000…
…111101010100010000001
3112012011201120212102021102
4322110320013222202001
51011132140340123411
612305152235304145
7562402411020011
oct72247007524201
915164646772242
104008146020481
111305932a333a9
1254897bbab055
13230c746762b5
14dbdd1177c41
156e3db1ead3b
hex3a5381ea881

4008146020481 has 2 divisors, whose sum is σ = 4008146020482. Its totient is φ = 4008146020480.

The previous prime is 4008146020441. The next prime is 4008146020519. The reversal of 4008146020481 is 1840206418004.

It is an a-pointer prime, because the next prime (4008146020519) can be obtained adding 4008146020481 to its sum of digits (38).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2395093616881 + 1613052403600 = 1547609^2 + 1270060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4008146020481 is a prime.

It is a super-2 number, since 2×40081460204812 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4008146020441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2004073010240 + 2004073010241.

It is an arithmetic number, because the mean of its divisors is an integer number (2004073010241).

Almost surely, 24008146020481 is an apocalyptic number.

It is an amenable number.

4008146020481 is a deficient number, since it is larger than the sum of its proper divisors (1).

4008146020481 is an equidigital number, since it uses as much as digits as its factorization.

4008146020481 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49152, while the sum is 38.

The spelling of 4008146020481 in words is "four trillion, eight billion, one hundred forty-six million, twenty thousand, four hundred eighty-one".