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44000000044 = 227112131952579
BaseRepresentation
bin101000111110100110…
…101011100000101100
311012120102202121000021
4220332212223200230
51210103000000134
632114024411524
73115234554340
oct507646534054
9135512677007
1044000000044
1117729942300
12863b616ba4
1341c29a3cb0
1421b5921620
151227c5c0b4
hexa3e9ab82c

44000000044 has 144 divisors (see below), whose sum is σ = 109652435200. Its totient is φ = 14991039360.

The previous prime is 44000000041. The next prime is 44000000059.

44000000044 is nontrivially palindromic in base 10.

44000000044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 43999999964 and 44000000027.

It is not an unprimeable number, because it can be changed into a prime (44000000041) 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, 810547 + ... + 863125.

Almost surely, 244000000044 is an apocalyptic number.

44000000044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44000000044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54826217600).

44000000044 is an abundant number, since it is smaller than the sum of its proper divisors (65652435156).

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

44000000044 is a wasteful number, since it uses less digits than its factorization.

44000000044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52644 (or 52631 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

It can be divided in two parts, 440000000 and 44, that added together give a palindrome (440000044).

The spelling of 44000000044 in words is "forty-four billion, forty-four", and thus it is an aban number and an eban number.

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 121 133 143 154 182 209 242 247 266 286 308 364 418 484 494 532 572 836 847 988 1001 1463 1573 1694 1729 2002 2299 2717 2926 3146 3388 3458 4004 4598 5434 5852 6292 6916 9196 10868 11011 16093 19019 22022 29887 32186 38038 44044 52579 59774 64372 76076 105158 119548 209209 210316 368053 418418 578369 683527 736106 836836 999001 1156738 1367054 1472212 1998002 2313476 2734108 3996004 4048583 4784689 6362059 6993007 7518797 8097166 9569378 10989011 12724118 12987013 13986014 15037594 16194332 19138756 21978022 25448236 25974026 27972028 30075188 43956044 44534413 51948052 52631579 76923077 82706767 89068826 90909091 105263158 120879121 142857143 153846154 165413534 178137652 181818182 210526316 241758242 285714286 307692308 330827068 363636364 483516484 571428572 578947369 846153847 1000000001 1157894738 1571428573 1692307694 2000000002 2315789476 3142857146 3384615388 4000000004 6285714292 11000000011 22000000022 44000000044