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44140214000 = 2453197112031
BaseRepresentation
bin101001000110111101…
…100011011011110000
311012221012121012101202
4221012331203123300
51210344343322000
632135553550332
73121556425361
oct510675433360
9135835535352
1044140214000
11177a1000103
12867a5753a8
134215a5782c
1421ca3bdb68
151235206dd5
hexa46f636f0

44140214000 has 80 divisors (see below), whose sum is σ = 107273776896. Its totient is φ = 17566304000.

The previous prime is 44140213979. The next prime is 44140214011. The reversal of 44140214000 is 41204144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 337985 + ... + 450015.

Almost surely, 244140214000 is an apocalyptic number.

44140214000 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 44140214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53636888448).

44140214000 is an abundant number, since it is smaller than the sum of its proper divisors (63133562896).

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

44140214000 is a wasteful number, since it uses less digits than its factorization.

44140214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112251 (or 112235 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 44140214000 its reverse (41204144), we get a palindrome (44181418144).

The spelling of 44140214000 in words is "forty-four billion, one hundred forty million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 197 200 250 394 400 500 788 985 1000 1576 1970 2000 3152 3940 4925 7880 9850 15760 19700 24625 39400 49250 78800 98500 112031 197000 224062 394000 448124 560155 896248 1120310 1792496 2240620 2800775 4481240 5601550 8962480 11203100 14003875 22070107 22406200 28007750 44140214 44812400 56015500 88280428 110350535 112031000 176560856 220701070 224062000 353121712 441402140 551752675 882804280 1103505350 1765608560 2207010700 2758763375 4414021400 5517526750 8828042800 11035053500 22070107000 44140214000