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4020454081449 = 32132514132
BaseRepresentation
bin111010100000010101101…
…111001100001110101001
3112020100111100122200211100
4322200111233030032221
51011332342221101244
612314545431552013
7563316412555461
oct72402557141651
915210440580740
104020454081449
111310079574813
1254b235b2b609
1323218659ba00
14dc83ba66ba1
156e8aba1db69
hex3a815bcc3a9

4020454081449 has 27 divisors (see below), whose sum is σ = 6288524851557. Its totient is φ = 2474077466016.

The previous prime is 4020454081439. The next prime is 4020454081451. The reversal of 4020454081449 is 9441804540204.

The square root of 4020454081449 is 2005107.

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

4020454081449 is a `hidden beast` number, since 4 + 0 + 20 + 4 + 540 + 81 + 4 + 4 + 9 = 666.

4020454081449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1092248641449 + 2928205440000 = 1045107^2 + 1711200^2 .

It is not a de Polignac number, because 4020454081449 - 211 = 4020454079401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4020454081439) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 78173467 + ... + 78224879.

Almost surely, 24020454081449 is an apocalyptic number.

4020454081449 is the 2005107-th square number.

4020454081449 is the 1002554-th centered octagonal number.

It is an amenable number.

4020454081449 is a deficient number, since it is larger than the sum of its proper divisors (2268070770108).

4020454081449 is an frugal number, since it uses more digits than its factorization.

4020454081449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102858 (or 51429 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 4020454081449 in words is "four trillion, twenty billion, four hundred fifty-four million, eighty-one thousand, four hundred forty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 51413 154239 462717 668369 2005107 6015321 8688797 26066391 78199173 2643296569 7929889707 23789669121 34362855397 103088566191 309265698573 446717120161 1340151360483 4020454081449