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14444241040500 = 2235328433387089
BaseRepresentation
bin1101001000110000111111…
…0110110011010001110100
31220010212002222211001002220
43102030033312303101310
53343123301201244000
650415332010202340
73020363521033665
oct322141766632164
956125088731086
1014444241040500
11466984a563577
1217534831233b0
1380a11718c85b
1437d16817936c
151a0adb7b81a0
hexd230fdb3474

14444241040500 has 96 divisors (see below), whose sum is σ = 42076437137280. Its totient is φ = 3850441638400.

The previous prime is 14444241040499. The next prime is 14444241040517. The reversal of 14444241040500 is 504014244441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2570956 + ... + 5958044.

It is an arithmetic number, because the mean of its divisors is an integer number (438296220180).

Almost surely, 214444241040500 is an apocalyptic number.

14444241040500 is a gapful number since it is divisible by the number (10) 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 14444241040500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21038218568640).

14444241040500 is an abundant number, since it is smaller than the sum of its proper divisors (27632196096780).

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

14444241040500 is a wasteful number, since it uses less digits than its factorization.

14444241040500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389954 (or 3389942 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

Adding to 14444241040500 its reverse (504014244441), we get a palindrome (14948255284941).

The spelling of 14444241040500 in words is "fourteen trillion, four hundred forty-four billion, two hundred forty-one million, forty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 2843 5686 8529 11372 14215 17058 28430 34116 42645 56860 71075 85290 142150 170580 213225 284300 355375 426450 710750 852900 1066125 1421500 2132250 3387089 4264500 6774178 10161267 13548356 16935445 20322534 33870890 40645068 50806335 67741780 84677225 101612670 169354450 203225340 254031675 338708900 423386125 508063350 846772250 1016126700 1270158375 1693544500 2540316750 5080633500 9629494027 19258988054 28888482081 38517976108 48147470135 57776964162 96294940270 115553928324 144442410405 192589880540 240737350675 288884820810 481474701350 577769641620 722212052025 962949402700 1203686753375 1444424104050 2407373506750 2888848208100 3611060260125 4814747013500 7222120520250 14444241040500