Search a number
-
+
4444222432144 = 2411653130129723
BaseRepresentation
bin100000010101100000001…
…0011001010001110010000
3120201212022111120101102011
41000223000103022032100
51040303231420312034
613241351514232304
7636040655244535
oct100530023121620
916655274511364
104444222432144
11146386977a850
125b93a1125694
1326311c21a491
1411515c7a4d8c
157a90edeb864
hex40ac04ca390

4444222432144 has 80 divisors (see below), whose sum is σ = 9415403250624. Its totient is φ = 2015389376000.

The previous prime is 4444222432103. The next prime is 4444222432147. The reversal of 4444222432144 is 4412342224444.

It is a super-3 number, since 3×44442224321443 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4444222432097 and 4444222432106.

It is not an unprimeable number, because it can be changed into a prime (4444222432147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149506467 + ... + 149536189.

Almost surely, 24444222432144 is an apocalyptic number.

4444222432144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4444222432144 is an abundant number, since it is smaller than the sum of its proper divisors (4971180818480).

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

4444222432144 is a wasteful number, since it uses less digits than its factorization.

4444222432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31696 (or 31690 counting only the distinct ones).

The product of its digits is 786432, while the sum is 40.

Adding to 4444222432144 its reverse (4412342224444), we get a palindrome (8856564656588).

The spelling of 4444222432144 in words is "four trillion, four hundred forty-four billion, two hundred twenty-two million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 653 1301 1306 2602 2612 5204 5224 7183 10408 10448 14311 14366 20816 28622 28732 29723 57244 57464 59446 114488 114928 118892 228976 237784 326953 475568 653906 849553 1307812 1699106 2615624 3398212 5231248 6796424 9345083 13592848 18690166 19409119 37380332 38669623 38818238 74760664 77339246 77636476 149521328 154678492 155272952 213500309 309356984 310545904 425365853 427000618 618713968 850731706 854001236 1701463412 1708002472 3402926824 3416004944 6805853648 25251263819 50502527638 101005055276 202010110552 277763902009 404020221104 555527804018 1111055608036 2222111216072 4444222432144