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44444444440 = 23511412719091
BaseRepresentation
bin101001011001000110…
…000110011100011000
311020201102001201002211
4221121012012130120
51212010234210230
632230102404504
73132242354524
oct513106063430
9136642051084
1044444444440
1117937803a20
128744430734
134263aa7046
142218974d84
151251c9e42a
hexa59186718

44444444440 has 128 divisors (see below), whose sum is σ = 112176368640. Its totient is φ = 15707520000.

The previous prime is 44444444413. The next prime is 44444444441. The reversal of 44444444440 is 4444444444.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44444444393 and 44444444402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44444444441) 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, 4884295 + ... + 4893385.

It is an arithmetic number, because the mean of its divisors is an integer number (876377880).

Almost surely, 244444444440 is an apocalyptic number.

44444444440 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 44444444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56088184320).

44444444440 is an abundant number, since it is smaller than the sum of its proper divisors (67731924200).

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

44444444440 is a wasteful number, since it uses less digits than its factorization.

44444444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9425 (or 9421 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

44444444440 divided by its sum of digits (40) gives a palindrome (1111111111).

Adding to 44444444440 its reverse (4444444444), we get a palindrome (48888888884).

It can be divided in two parts, 444444 and 44440, that added together give a palindrome (488884).

The spelling of 44444444440 in words is "forty-four billion, four hundred forty-four million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 271 328 410 440 451 542 820 902 1084 1355 1640 1804 2168 2255 2710 2981 3608 4510 5420 5962 9020 9091 10840 11111 11924 14905 18040 18182 22222 23848 29810 36364 44444 45455 55555 59620 72728 88888 90910 100001 111110 119240 122221 181820 200002 222220 244442 363640 372731 400004 444440 488884 500005 611105 745462 800008 977768 1000010 1222210 1490924 1863655 2000020 2444420 2463661 2981848 3727310 4000040 4100041 4888840 4927322 7454620 8200082 9854644 12318305 14909240 16400164 19709288 20500205 24636610 27100271 32800328 41000410 49273220 54200542 82000820 98546440 101010101 108401084 135501355 164001640 202020202 216802168 271002710 404040404 505050505 542005420 808080808 1010101010 1084010840 1111111111 2020202020 2222222222 4040404040 4444444444 5555555555 8888888888 11111111110 22222222220 44444444440