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44894414000 = 2453611512437
BaseRepresentation
bin101001110011111010…
…100110010010110000
311021212202202112022002
4221303322212102300
51213420432222000
632342455033132
73146345136242
oct516372462260
9137782675262
1044894414000
11180487a9797
12884b06b7a8
134306092c17
14225c626092
15127b5338d5
hexa73ea64b0

44894414000 has 160 divisors (see below), whose sum is σ = 111110543232. Its totient is φ = 17539200000.

The previous prime is 44894413999. The next prime is 44894414003. The reversal of 44894414000 is 41449844.

It is a happy number.

44894414000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (44894414003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18420782 + ... + 18423218.

Almost surely, 244894414000 is an apocalyptic number.

44894414000 is a gapful number since it is divisible by the number (40) 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 44894414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55555271616).

44894414000 is an abundant number, since it is smaller than the sum of its proper divisors (66216129232).

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

44894414000 is a wasteful number, since it uses less digits than its factorization.

44894414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 44894414000 in words is "forty-four billion, eight hundred ninety-four million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 151 200 244 250 302 305 400 488 500 604 610 755 976 1000 1208 1220 1510 1525 2000 2416 2437 2440 3020 3050 3775 4874 4880 6040 6100 7550 7625 9211 9748 12080 12185 12200 15100 15250 18422 18875 19496 24370 24400 30200 30500 36844 37750 38992 46055 48740 60400 60925 61000 73688 75500 92110 97480 121850 122000 147376 148657 151000 184220 194960 230275 243700 297314 302000 304625 367987 368440 460550 487400 594628 609250 735974 736880 743285 921100 974800 1151375 1189256 1218500 1471948 1486570 1839935 1842200 2302750 2378512 2437000 2943896 2973140 3679870 3684400 3716425 4605500 4874000 5887792 5946280 7359740 7432850 9199675 9211000 11892560 14719480 14865700 18399350 18422000 18582125 22447207 29438960 29731400 36798700 37164250 44894414 45998375 59462800 73597400 74328500 89788828 91996750 112236035 147194800 148657000 179577656 183993500 224472070 297314000 359155312 367987000 448944140 561180175 735974000 897888280 1122360350 1795776560 2244720700 2805900875 4489441400 5611801750 8978882800 11223603500 22447207000 44894414000