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2041014444 = 2237215722109
BaseRepresentation
bin111100110100111…
…0110100010101100
312021020112021110120
41321221312202230
513134444430234
6534310004540
7101402223300
oct17151664254
95236467416
102041014444
119581103a7
1248b646750
13266b07871
141550d3d00
15be2b5049
hex79a768ac

2041014444 has 72 divisors (see below), whose sum is σ = 5575434480. Its totient is φ = 579406464.

The previous prime is 2041014401. The next prime is 2041014449. The reversal of 2041014444 is 4444101402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2041014449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81262 + ... + 103370.

It is an arithmetic number, because the mean of its divisors is an integer number (77436590).

Almost surely, 22041014444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041014444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2787717240).

2041014444 is an abundant number, since it is smaller than the sum of its proper divisors (3534420036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2041014444 is a wasteful number, since it uses less digits than its factorization.

2041014444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22287 (or 22278 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2041014444 is about 45177.5878506146. The cubic root of 2041014444 is about 1268.4753323775.

Adding to 2041014444 its reverse (4444101402), we get a palindrome (6485115846).

The spelling of 2041014444 in words is "two billion, forty-one million, fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 157 196 294 314 471 588 628 942 1099 1884 2198 3297 4396 6594 7693 13188 15386 22109 23079 30772 44218 46158 66327 88436 92316 132654 154763 265308 309526 464289 619052 928578 1083341 1857156 2166682 3250023 3471113 4333364 6500046 6942226 10413339 13000092 13884452 20826678 24297791 41653356 48595582 72893373 97191164 145786746 170084537 291573492 340169074 510253611 680338148 1020507222 2041014444