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4144330420 = 2251071092163
BaseRepresentation
bin1111011100000101…
…0111011010110100
3101200211021210120021
43313001113122310
531441422033140
61523123214524
7204462140656
oct36701273264
911624253507
104144330420
11183740386a
12977b17444
135107b6b29
142b45a46d6
15193c84b4a
hexf70576b4

4144330420 has 72 divisors (see below), whose sum is σ = 8920152864. Its totient is φ = 1617190272.

The previous prime is 4144330381. The next prime is 4144330429. The reversal of 4144330420 is 240334414.

It is a super-3 number, since 3×41443304203 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144330429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25425259 + ... + 25425421.

It is an arithmetic number, because the mean of its divisors is an integer number (123891012).

Almost surely, 24144330420 is an apocalyptic number.

It is an amenable number.

4144330420 is an abundant number, since it is smaller than the sum of its proper divisors (4775822444).

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

4144330420 is a wasteful number, since it uses less digits than its factorization.

4144330420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4144330420 is about 64376.4741190445. The cubic root of 4144330420 is about 1606.2684330829.

Adding to 4144330420 its reverse (240334414), we get a palindrome (4384664834).

The spelling of 4144330420 in words is "four billion, one hundred forty-four million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 107 109 163 214 218 326 428 436 535 545 652 815 1070 1090 1630 2140 2180 3260 11663 11881 17441 17767 23326 23762 34882 35534 46652 47524 58315 59405 69764 71068 87205 88835 116630 118810 174410 177670 233260 237620 348820 355340 1271267 1901069 1936603 2542534 3802138 3873206 5085068 6356335 7604276 7746412 9505345 9683015 12712670 19010690 19366030 25425340 38021380 38732060 207216521 414433042 828866084 1036082605 2072165210 4144330420