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14213104000 = 2753888319
BaseRepresentation
bin11010011110010101…
…01100000110000000
31100200112110111022021
431033022230012000
5213102023312000
610310204051224
71012133250664
oct151712540600
940615414267
1014213104000
116033a21447
122907b33b14
131456803814
1498b90a8a4
15582bca11a
hex34f2ac180

14213104000 has 64 divisors (see below), whose sum is σ = 35337369600. Its totient is φ = 5685235200.

The previous prime is 14213103979. The next prime is 14213104001. The reversal of 14213104000 is 40131241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14213104001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 428160 + ... + 460159.

It is an arithmetic number, because the mean of its divisors is an integer number (552146400).

Almost surely, 214213104000 is an apocalyptic number.

14213104000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14213104000 is an abundant number, since it is smaller than the sum of its proper divisors (21124265600).

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

14213104000 is an frugal number, since it uses more digits than its factorization.

14213104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888348 (or 888326 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14213104000 its reverse (40131241), we get a palindrome (14253235241).

The spelling of 14213104000 in words is "fourteen billion, two hundred thirteen million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 888319 1776638 3553276 4441595 7106552 8883190 14213104 17766380 22207975 28426208 35532760 44415950 56852416 71065520 88831900 111039875 113704832 142131040 177663800 222079750 284262080 355327600 444159500 568524160 710655200 888319000 1421310400 1776638000 2842620800 3553276000 7106552000 14213104000