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4044222230100 = 22352131760998827
BaseRepresentation
bin111010110110011110011…
…011011110111001010100
3112022121211210121202021020
4322312132123132321110
51012230031342330400
612333520125521140
7565120411522503
oct72663633367124
915277753552236
104044222230100
11131a16601a678
12553969a131b0
132344a383b1b0
14dda5458c83a
15702ed4b32a0
hex3ad9e6dee54

4044222230100 has 144 divisors (see below), whose sum is σ = 13342639641408. Its totient is φ = 936941967360.

The previous prime is 4044222230093. The next prime is 4044222230107. The reversal of 4044222230100 is 10322224404.

It is an interprime number because it is at equal distance from previous prime (4044222230093) and next prime (4044222230107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4044222230107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30433114 + ... + 30565713.

It is an arithmetic number, because the mean of its divisors is an integer number (92657219732).

Almost surely, 24044222230100 is an apocalyptic number.

It is an amenable number.

4044222230100 is an abundant number, since it is smaller than the sum of its proper divisors (9298417411308).

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

4044222230100 is a wasteful number, since it uses less digits than its factorization.

4044222230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60998874 (or 60998867 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4044222230100 its reverse (10322224404), we get a palindrome (4054544454504).

The spelling of 4044222230100 in words is "four trillion, forty-four billion, two hundred twenty-two million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 25 26 30 34 39 50 51 52 60 65 68 75 78 85 100 102 130 150 156 170 195 204 221 255 260 300 325 340 390 425 442 510 650 663 780 850 884 975 1020 1105 1275 1300 1326 1700 1950 2210 2550 2652 3315 3900 4420 5100 5525 6630 11050 13260 16575 22100 33150 66300 60998827 121997654 182996481 243995308 304994135 365992962 609988270 731985924 792984751 914982405 1036980059 1219976540 1524970675 1585969502 1829964810 2073960118 2378954253 3049941350 3110940177 3171939004 3659929620 3964923755 4147920236 4574912025 4757908506 5184900295 6099882700 6221880354 7929847510 9149824050 9515817012 10369800590 11894771265 12443760708 13480740767 15554700885 15859695020 18299648100 19824618775 20739601180 23789542530 25924501475 26961481534 31109401770 39649237550 40442222301 47579085060 51849002950 53922963068 59473856325 62218803540 67403703835 77773504425 79298475100 80884444602 103698005900 118947712650 134807407670 155547008850 161768889204 202211111505 237895425300 269614815340 311094017700 337018519175 404422223010 674037038350 808844446020 1011055557525 1348074076700 2022111115050 4044222230100