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44220044224 = 2617413073229
BaseRepresentation
bin101001001011101110…
…000101001111000000
311020010202210222212201
4221023232011033000
51211030312403344
632151525002544
73123546113506
oct511356051700
9136122728781
1044220044224
11178320757a4
1286a1253454
134229458855
1421d6c40676
15123c2254d4
hexa4bb853c0

44220044224 has 112 divisors (see below), whose sum is σ = 95516578080. Its totient is φ = 20229488640.

The previous prime is 44220044213. The next prime is 44220044233. The reversal of 44220044224 is 42244002244.

It is a super-2 number, since 2×442200442242 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44220044192 and 44220044201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13693042 + ... + 13696270.

It is an arithmetic number, because the mean of its divisors is an integer number (852826590).

Almost surely, 244220044224 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 44220044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47758289040).

44220044224 is an abundant number, since it is smaller than the sum of its proper divisors (51296533856).

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

44220044224 is a wasteful number, since it uses less digits than its factorization.

44220044224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 44220044224 its reverse (42244002244), we get a palindrome (86464046468).

The spelling of 44220044224 in words is "forty-four billion, two hundred twenty million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 41 64 68 82 136 164 272 307 328 544 614 656 697 1088 1228 1312 1394 2456 2624 2788 3229 4912 5219 5576 6458 9824 10438 11152 12587 12916 19648 20876 22304 25174 25832 41752 44608 50348 51664 54893 83504 100696 103328 109786 132389 167008 201392 206656 213979 219572 264778 334016 402784 427958 439144 529556 805568 855916 878288 991303 1059112 1711832 1756576 1982606 2118224 2250613 3423664 3513152 3965212 4236448 4501226 6847328 7930424 8472896 9002452 13694656 15860848 16852151 18004904 31721696 33704302 36009808 40643423 63443392 67408604 72019616 81286846 134817208 144039232 162573692 269634416 325147384 539268832 650294768 690938191 1078537664 1300589536 1381876382 2601179072 2763752764 5527505528 11055011056 22110022112 44220044224