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4442445414 = 23211611033571
BaseRepresentation
bin1000010001100101…
…00101011001100110
3102110121020121110100
410020302211121212
533044231223124
62012453004530
7215042106621
oct41062453146
912417217410
104442445414
11197a70aaa0
12a3b923746
1355a4a4934
14302006db8
151b00201c9
hex108ca5666

4442445414 has 96 divisors (see below), whose sum is σ = 10779095808. Its totient is φ = 1310904000.

The previous prime is 4442445409. The next prime is 4442445419. The reversal of 4442445414 is 4145442444.

It is an interprime number because it is at equal distance from previous prime (4442445409) and next prime (4442445419).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442445419) 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, 1242249 + ... + 1245819.

It is an arithmetic number, because the mean of its divisors is an integer number (112282248).

Almost surely, 24442445414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4442445414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389547904).

4442445414 is an abundant number, since it is smaller than the sum of its proper divisors (6336650394).

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

4442445414 is a wasteful number, since it uses less digits than its factorization.

4442445414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3751 counting only the distinct ones).

The product of its digits is 163840, while the sum is 36.

The square root of 4442445414 is about 66651.6722520898. The cubic root of 4442445414 is about 1643.8948442695.

Adding to 4442445414 its reverse (4145442444), we get a palindrome (8587887858).

The spelling of 4442445414 in words is "four billion, four hundred forty-two million, four hundred forty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 103 122 183 198 206 309 366 549 618 671 927 1098 1133 1342 1854 2013 2266 3399 3571 4026 6039 6283 6798 7142 10197 10713 12078 12566 18849 20394 21426 32139 37698 39281 56547 64278 69113 78562 113094 117843 138226 207339 217831 235686 353529 367813 414678 435662 622017 653493 707058 735626 1103439 1244034 1306986 1960479 2206878 2396141 3310317 3920958 4045943 4792282 6620634 7188423 8091886 12137829 14376846 21565269 22436593 24275658 36413487 43130538 44873186 67309779 72826974 134619558 201929337 246802523 403858674 493605046 740407569 1480815138 2221222707 4442445414