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4042125444 = 22372291012347
BaseRepresentation
bin1111000011101101…
…1111000010000100
3101102200222020200210
43300323133002010
531234241003234
61505032435420
7202111333200
oct36073370204
911380866623
104042125444
111794746745
12949848b70
134c5580806
142a4b9bb00
15189ce6be9
hexf0edf084

4042125444 has 144 divisors (see below), whose sum is σ = 11467068480. Its totient is φ = 1103558400.

The previous prime is 4042125407. The next prime is 4042125457. The reversal of 4042125444 is 4445212404.

4042125444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1721079 + ... + 1723425.

It is an arithmetic number, because the mean of its divisors is an integer number (79632420).

Almost surely, 24042125444 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 4042125444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733534240).

4042125444 is an abundant number, since it is smaller than the sum of its proper divisors (7424943036).

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

4042125444 is a wasteful number, since it uses less digits than its factorization.

4042125444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 4042125444 is about 63577.7118493580. The cubic root of 4042125444 is about 1592.9541014711.

Adding to 4042125444 its reverse (4445212404), we get a palindrome (8487337848).

The spelling of 4042125444 in words is "four billion, forty-two million, one hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 101 116 147 174 196 202 203 294 303 348 404 406 588 606 609 707 812 1212 1218 1414 1421 2121 2347 2436 2828 2842 2929 4242 4263 4694 4949 5684 5858 7041 8484 8526 8787 9388 9898 11716 14082 14847 16429 17052 17574 19796 20503 28164 29694 32858 35148 41006 49287 59388 61509 65716 68063 82012 98574 115003 123018 136126 143521 197148 204189 230006 237047 246036 272252 287042 345009 408378 430563 460012 474094 476441 574084 690018 711141 816756 861126 948188 952882 1380036 1422282 1429323 1659329 1722252 1905764 2844564 2858646 3318658 3335087 4977987 5717292 6637316 6670174 6874363 9955974 10005261 11615303 13340348 13748726 19911948 20010522 20623089 23230606 27497452 34845909 40021044 41246178 46461212 48120541 69691818 82492356 96241082 139383636 144361623 192482164 288723246 336843787 577446492 673687574 1010531361 1347375148 2021062722 4042125444