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14433214000 = 245318014007
BaseRepresentation
bin11010111000100100…
…10101111000110000
31101020212122020110111
431130102111320300
5214024400322000
610344105511104
71020445203052
oct153422257060
941225566414
1014433214000
11613719a337
1229697a2494
1314902ac31a
149acc458d2
155971a7cba
hex35c495e30

14433214000 has 80 divisors (see below), whose sum is σ = 34927603776. Its totient is φ = 5768640000.

The previous prime is 14433213997. The next prime is 14433214021. The reversal of 14433214000 is 41233441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3599997 + ... + 3604003.

Almost surely, 214433214000 is an apocalyptic number.

14433214000 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 14433214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17463801888).

14433214000 is an abundant number, since it is smaller than the sum of its proper divisors (20494389776).

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

14433214000 is a wasteful number, since it uses less digits than its factorization.

14433214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5831 (or 5815 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14433214000 its reverse (41233441), we get a palindrome (14474447441).

The spelling of 14433214000 in words is "fourteen billion, four hundred thirty-three million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1801 2000 3602 4007 7204 8014 9005 14408 16028 18010 20035 28816 32056 36020 40070 45025 64112 72040 80140 90050 100175 144080 160280 180100 200350 225125 320560 360200 400700 450250 500875 720400 801400 900500 1001750 1602800 1801000 2003500 3602000 4007000 7216607 8014000 14433214 28866428 36083035 57732856 72166070 115465712 144332140 180415175 288664280 360830350 577328560 721660700 902075875 1443321400 1804151750 2886642800 3608303500 7216607000 14433214000