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14041420112000 = 27531098051273
BaseRepresentation
bin1100110001010100010111…
…0110111010000010000000
31211201100100201011122200202
43030111011312322002000
53320023312022041000
645510312255504332
72646313323450431
oct314250566720200
954640321148622
1014041420112000
114523a29659906
1216a93a32280a8
137ab13c2a7368
143678734a5488
151953b23eddd5
hexcc545dba080

14041420112000 has 128 divisors (see below), whose sum is σ = 35230764769200. Its totient is φ = 5565039206400.

The previous prime is 14041420111933. The next prime is 14041420112009. The reversal of 14041420112000 is 21102414041.

It can be written as a sum of positive squares in 8 ways, for example, as 5216765632576 + 8824654479424 = 2284024^2 + 2970632^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×140414201120002 (a number of 27 digits) contains 22 as substring.

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 (14041420112009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2281637 + ... + 5769636.

Almost surely, 214041420112000 is an apocalyptic number.

14041420112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14041420112000 is an abundant number, since it is smaller than the sum of its proper divisors (21189344657200).

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

14041420112000 is an equidigital number, since it uses as much as digits as its factorization.

14041420112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8051411 (or 8051389 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 14041420112000 its reverse (21102414041), we get a palindrome (14062522526041).

The spelling of 14041420112000 in words is "fourteen trillion, forty-one billion, four hundred twenty million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 109 125 128 160 200 218 250 320 400 436 500 545 640 800 872 1000 1090 1600 1744 2000 2180 2725 3200 3488 4000 4360 5450 6976 8000 8720 10900 13625 13952 16000 17440 21800 27250 34880 43600 54500 69760 87200 109000 174400 218000 348800 436000 872000 1744000 8051273 16102546 32205092 40256365 64410184 80512730 128820368 161025460 201281825 257640736 322050920 402563650 515281472 644101840 805127300 877588757 1006409125 1030562944 1288203680 1610254600 1755177514 2012818250 2576407360 3220509200 3510355028 4025636500 4387943785 5152814720 6441018400 7020710056 8051273000 8775887570 12882036800 14041420112 16102546000 17551775140 21939718925 25764073600 28082840224 32205092000 35103550280 43879437850 56165680448 64410184000 70207100560 87758875700 109698594625 112331360896 128820368000 140414201120 175517751400 219397189250 280828402240 351035502800 438794378500 561656804480 702071005600 877588757000 1404142011200 1755177514000 2808284022400 3510355028000 7020710056000 14041420112000