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14044214000 = 2453231092801
BaseRepresentation
bin11010001010001100…
…11011001011110000
31100020202122222210002
431011012123023300
5212230304322000
610241332125132
71005012564215
oct150506331360
940222588702
1014044214000
115a57657933
12287b4667a8
13142a81c7cb
14973305b0c
15572e688d5
hex34519b2f0

14044214000 has 160 divisors (see below), whose sum is σ = 35773246080. Its totient is φ = 5322240000.

The previous prime is 14044213999. The next prime is 14044214011. The reversal of 14044214000 is 41244041.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5012600 + ... + 5015400.

It is an arithmetic number, because the mean of its divisors is an integer number (223582788).

Almost surely, 214044214000 is an apocalyptic number.

14044214000 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 14044214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886623040).

14044214000 is an abundant number, since it is smaller than the sum of its proper divisors (21729032080).

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

14044214000 is a wasteful number, since it uses less digits than its factorization.

14044214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14044214000 its reverse (41244041), we get a palindrome (14085458041).

The spelling of 14044214000 in words is "fourteen billion, forty-four million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 109 115 125 184 200 218 230 250 368 400 436 460 500 545 575 872 920 1000 1090 1150 1744 1840 2000 2180 2300 2507 2725 2801 2875 4360 4600 5014 5450 5602 5750 8720 9200 10028 10900 11204 11500 12535 13625 14005 20056 21800 22408 23000 25070 27250 28010 40112 43600 44816 46000 50140 54500 56020 62675 64423 70025 100280 109000 112040 125350 128846 140050 200560 218000 224080 250700 257692 280100 305309 313375 322115 350125 501400 515384 560200 610618 626750 644230 700250 1002800 1030768 1120400 1221236 1253500 1288460 1400500 1526545 1610575 2442472 2507000 2576920 2801000 3053090 3221150 4884944 5014000 5153840 5602000 6106180 6442300 7022107 7632725 8052875 12212360 12884600 14044214 15265450 16105750 24424720 25769200 28088428 30530900 32211500 35110535 38163625 56176856 61061800 64423000 70221070 76327250 112353712 122123600 128846000 140442140 152654500 175552675 280884280 305309000 351105350 561768560 610618000 702210700 877763375 1404421400 1755526750 2808842800 3511053500 7022107000 14044214000