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201414030221404 = 2271113415712100843
BaseRepresentation
bin101101110010111101011011…
…101110010110000001011100
3222102010222211001221221121001
4231302331123232112001130
5202344431413214041104
61552212154512320044
760265453301013250
oct5562753356260134
9872128731857531
10201414030221404
11591a4235230640
121a70b47b243024
1388503528265c0
1437a46c3732260
151844393d01aa4
hexb72f5bb9605c

201414030221404 has 96 divisors (see below), whose sum is σ = 473366430383616. Its totient is φ = 72419183066880.

The previous prime is 201414030221377. The next prime is 201414030221483. The reversal of 201414030221404 is 404122030414102.

It is a super-2 number, since 2×2014140302214042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 10594207 + ... + 22695049.

It is an arithmetic number, because the mean of its divisors is an integer number (4930900316496).

Almost surely, 2201414030221404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201414030221404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236683215191808).

201414030221404 is an abundant number, since it is smaller than the sum of its proper divisors (271952400162212).

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

201414030221404 is a wasteful number, since it uses less digits than its factorization.

201414030221404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12105035 (or 12105033 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 201414030221404 its reverse (404122030414102), we get a palindrome (605536060635506).

The spelling of 201414030221404 in words is "two hundred one trillion, four hundred fourteen billion, thirty million, two hundred twenty-one thousand, four hundred four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 4157 8314 16628 29099 45727 54041 58198 91454 108082 116396 182908 216164 320089 378287 594451 640178 756574 1188902 1280356 1513148 2377804 4161157 8322314 12100843 16644628 24201686 48403372 84705901 133109273 157310959 169411802 266218546 314621918 338823604 532437092 629243836 931764911 1101176713 1730420549 1863529822 2202353426 3460841098 3727059644 4404706852 6921682196 12112943843 24225887686 48451775372 50303204351 100606408702 201212817404 352122430457 553335247861 653941656563 704244860914 1106670495722 1307883313126 1408489721828 2213340991444 2615766626252 3873346735027 4577591595941 7193358222193 7746693470054 9155183191882 14386716444386 15493386940108 18310366383764 28773432888772 50353507555351 100707015110702 201414030221404