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4144008021 = 32683351479
BaseRepresentation
bin1111011100000000…
…1000101101010101
3101200210200102022120
43313000020231111
531441331224041
61523112250153
7204456326016
oct36700105525
911623612276
104144008021
11183720361a
129779a0959
1351070316a
142b451d00d
15193c1e366
hexf7008b55

4144008021 has 8 divisors (see below), whose sum is σ = 5525657280. Its totient is φ = 2762515392.

The previous prime is 4144008017. The next prime is 4144008023. The reversal of 4144008021 is 1208004414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4144008021 - 22 = 4144008017 is a prime.

It is a super-2 number, since 2×41440080212 = 34345604956224672882, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4144007982 and 4144008000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144008023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54760 + ... + 106238.

It is an arithmetic number, because the mean of its divisors is an integer number (690707160).

Almost surely, 24144008021 is an apocalyptic number.

It is an amenable number.

4144008021 is a deficient number, since it is larger than the sum of its proper divisors (1381649259).

4144008021 is a wasteful number, since it uses less digits than its factorization.

4144008021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78315.

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4144008021 is about 64373.9700577803. The cubic root of 4144008021 is about 1606.2267799719.

The spelling of 4144008021 in words is "four billion, one hundred forty-four million, eight thousand, twenty-one".

Divisors: 1 3 26833 51479 80499 154437 1381336007 4144008021