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4144022253332 = 2213197404531653
BaseRepresentation
bin111100010011011010111…
…110010110111100010100
3112200011110000222012221222
4330103122332112330110
51020343424144101312
612451423150425512
7605252506651403
oct74233276267424
915604400865858
104144022253332
111358519589215
1256b180802298
13240a19aa1090
14104800c3563a
1572bded9a672
hex3c4daf96f14

4144022253332 has 24 divisors (see below), whose sum is σ = 7849532214216. Its totient is φ = 1902916891008.

The previous prime is 4144022253299. The next prime is 4144022253361. The reversal of 4144022253332 is 2333522204414.

It can be written as a sum of positive squares in 4 ways, for example, as 1105959309316 + 3038062944016 = 1051646^2 + 1743004^2 .

It is a super-3 number, since 3×41440222533323 (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 = 4144022253292 and 4144022253301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 202255583 + ... + 202276070.

It is an arithmetic number, because the mean of its divisors is an integer number (327063842259).

Almost surely, 24144022253332 is an apocalyptic number.

It is an amenable number.

4144022253332 is a deficient number, since it is larger than the sum of its proper divisors (3705509960884).

4144022253332 is a wasteful number, since it uses less digits than its factorization.

4144022253332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404531867 (or 404531865 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

Adding to 4144022253332 its reverse (2333522204414), we get a palindrome (6477544457746).

The spelling of 4144022253332 in words is "four trillion, one hundred forty-four billion, twenty-two million, two hundred fifty-three thousand, three hundred thirty-two".

Divisors: 1 2 4 13 26 52 197 394 788 2561 5122 10244 404531653 809063306 1618126612 5258911489 10517822978 21035645956 79692735641 159385471282 318770942564 1036005563333 2072011126666 4144022253332