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20284440006441 = 3131272140886239
BaseRepresentation
bin1001001110010110101101…
…10101110100111100101001
32122211011200111111221222010
410213023112311310330221
510124320013120201231
6111050313150350133
74162334222131452
oct447132665647451
978734614457863
1020284440006441
116510645629926
122337315abb349
13b41a78567460
14501ab4a48129
152529a14b6546
hex1272d6d74f29

20284440006441 has 16 divisors (see below), whose sum is σ = 29128665735680. Its totient is φ = 12481750736640.

The previous prime is 20284440006407. The next prime is 20284440006461. The reversal of 20284440006441 is 14460004448202.

It is not a de Polignac number, because 20284440006441 - 211 = 20284440004393 is a prime.

It is a super-2 number, since 2×202844400064412 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20284440006441.

It is not an unprimeable number, because it can be changed into a prime (20284440006461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19947001 + ... + 20939238.

It is an arithmetic number, because the mean of its divisors is an integer number (1820541608480).

Almost surely, 220284440006441 is an apocalyptic number.

It is an amenable number.

20284440006441 is a deficient number, since it is larger than the sum of its proper divisors (8844225729239).

20284440006441 is a wasteful number, since it uses less digits than its factorization.

20284440006441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40898976.

The product of its (nonzero) digits is 196608, while the sum is 39.

The spelling of 20284440006441 in words is "twenty trillion, two hundred eighty-four billion, four hundred forty million, six thousand, four hundred forty-one".

Divisors: 1 3 13 39 12721 38163 165373 496119 40886239 122658717 531521107 1594563321 520113846319 1560341538957 6761480002147 20284440006441