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44224400440 = 23511175912353
BaseRepresentation
bin101001001011111110…
…101100110000111000
311020011002000022111001
4221023332230300320
51211032421303230
632152202214344
73123631126033
oct511376546070
9136132008431
1044224400440
1117834580680
1286a27b43b4
13422a3225ac
1421d765601a
15123c7d60ca
hexa4bfacc38

44224400440 has 64 divisors (see below), whose sum is σ = 114936161760. Its totient is φ = 15135621120.

The previous prime is 44224400419. The next prime is 44224400443. The reversal of 44224400440 is 4400442244.

It is a junction number, because it is equal to n+sod(n) for n = 44224400399 and 44224400408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44224400443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2948697 + ... + 2963656.

Almost surely, 244224400440 is an apocalyptic number.

44224400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44224400440 is an abundant number, since it is smaller than the sum of its proper divisors (70711761320).

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

44224400440 is a wasteful number, since it uses less digits than its factorization.

44224400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912392 (or 5912388 counting only the distinct ones).

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

Adding to 44224400440 its reverse (4400442244), we get a palindrome (48624842684).

The spelling of 44224400440 in words is "forty-four billion, two hundred twenty-four million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 5912353 11824706 23649412 29561765 47298824 59123530 65035883 100510001 118247060 130071766 201020002 236494120 260143532 325179415 402040004 502550005 520287064 650358830 804080008 1005100010 1105610011 1300717660 2010200020 2211220022 2601435320 4020400040 4422440044 5528050055 8844880088 11056100110 22112200220 44224400440