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14433140000 = 25546710771
BaseRepresentation
bin11010111000100100…
…00011110100100000
31101020212111110221202
431130102003310200
5214024340440000
610344104140332
71020444444236
oct153422036440
941225443852
1014433140000
116137149784
1229697676a8
131490284736
149acc26956
15597190dd5
hex35c483d20

14433140000 has 120 divisors (see below), whose sum is σ = 36041000688. Its totient is φ = 5686560000.

The previous prime is 14433139997. The next prime is 14433140003. The reversal of 14433140000 is 4133441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14433139997) and next prime (14433140003).

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

It is not an unprimeable number, because it can be changed into a prime (14433140003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1334615 + ... + 1345385.

Almost surely, 214433140000 is an apocalyptic number.

14433140000 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 14433140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18020500344).

14433140000 is an abundant number, since it is smaller than the sum of its proper divisors (21607860688).

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

14433140000 is an equidigital number, since it uses as much as digits as its factorization.

14433140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10868 (or 10845 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 14433140000 its reverse (4133441), we get a palindrome (14437273441).

The spelling of 14433140000 in words is "fourteen billion, four hundred thirty-three million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 67 80 100 125 134 160 200 250 268 335 400 500 536 625 670 800 1000 1072 1250 1340 1675 2000 2144 2500 2680 3350 4000 5000 5360 6700 8375 10000 10720 10771 13400 16750 20000 21542 26800 33500 41875 43084 53600 53855 67000 83750 86168 107710 134000 167500 172336 215420 268000 269275 335000 344672 430840 538550 670000 721657 861680 1077100 1340000 1346375 1443314 1723360 2154200 2692750 2886628 3608285 4308400 5385500 5773256 6731875 7216570 8616800 10771000 11546512 13463750 14433140 18041425 21542000 23093024 26927500 28866280 36082850 43084000 53855000 57732560 72165700 90207125 107710000 115465120 144331400 180414250 215420000 288662800 360828500 451035625 577325600 721657000 902071250 1443314000 1804142500 2886628000 3608285000 7216570000 14433140000