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14213420000 = 25541354667
BaseRepresentation
bin11010011110010111…
…11001001111100000
31100200120001112202222
431033023321033200
5213102113420000
610310214530212
71012136035163
oct151713711740
940616045688
1014213420000
1160341178aa
122908066968
1314568b45c0
1498b98dada
15582c3da85
hex34f2f93e0

14213420000 has 120 divisors (see below), whose sum is σ = 37657614456. Its totient is φ = 5247936000.

The previous prime is 14213419949. The next prime is 14213420033. The reversal of 14213420000 is 2431241.

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 19 ways as a sum of consecutive naturals, for example, 232667 + ... + 287333.

Almost surely, 214213420000 is an apocalyptic number.

14213420000 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 14213420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18828807228).

14213420000 is an abundant number, since it is smaller than the sum of its proper divisors (23444194456).

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

14213420000 is an equidigital number, since it uses as much as digits as its factorization.

14213420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54710 (or 54687 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 14213420000 its reverse (2431241), we get a palindrome (14215851241).

The spelling of 14213420000 in words is "fourteen billion, two hundred thirteen million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3250 4000 5000 5200 6500 8125 10000 10400 13000 16250 20000 26000 32500 52000 54667 65000 109334 130000 218668 260000 273335 437336 546670 710671 874672 1093340 1366675 1421342 1749344 2186680 2733350 2842684 3553355 4373360 5466700 5685368 6833375 7106710 8746720 10933400 11370736 13666750 14213420 17766775 21866800 22741472 27333500 28426840 34166875 35533550 43733600 54667000 56853680 68333750 71067100 88833875 109334000 113707360 136667500 142134200 177667750 218668000 273335000 284268400 355335500 444169375 546670000 568536800 710671000 888338750 1093340000 1421342000 1776677500 2842684000 3553355000 7106710000 14213420000