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201144214404 = 2232717431091917
BaseRepresentation
bin1011101101010100100…
…0010010001110000100
3201020012002022210120200
42323111020102032010
511243420404330104
6232223202330500
720350353420030
oct2732510221604
9636162283520
10201144214404
1178339735441
1232b96959a30
1315c773b0a13
149a4204d1c0
155373b40b39
hex2ed5212384

201144214404 has 144 divisors (see below), whose sum is σ = 629573712768. Its totient is φ = 52831263744.

The previous prime is 201144214363. The next prime is 201144214451. The reversal of 201144214404 is 404412441102.

It is a happy number.

201144214404 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 44 + 214 + 404 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361747 + ... + 730170.

It is an arithmetic number, because the mean of its divisors is an integer number (4372039672).

Almost surely, 2201144214404 is an apocalyptic number.

It is an amenable number.

201144214404 is an abundant number, since it is smaller than the sum of its proper divisors (428429498364).

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

201144214404 is a wasteful number, since it uses less digits than its factorization.

201144214404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091994 (or 1091989 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 201144214404 its reverse (404412441102), we get a palindrome (605556655506).

The spelling of 201144214404 in words is "two hundred one billion, one hundred forty-four million, two hundred fourteen thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 43 51 63 68 84 86 102 119 126 129 153 172 204 238 252 258 301 306 357 387 476 516 602 612 714 731 774 903 1071 1204 1428 1462 1548 1806 2142 2193 2709 2924 3612 4284 4386 5117 5418 6579 8772 10234 10836 13158 15351 20468 26316 30702 46053 61404 92106 184212 1091917 2183834 3275751 4367668 6551502 7643419 9827253 13103004 15286838 18562589 19654506 22930257 30573676 37125178 39309012 45860514 46952431 55687767 68790771 74250356 91721028 93904862 111375534 129938123 137581542 140857293 167063301 187809724 222751068 259876246 275163084 281714586 328667017 334126602 389814369 422571879 519752492 563429172 657334034 668253204 779628738 798191327 845143758 986001051 1169443107 1314668068 1559257476 1596382654 1690287516 1972002102 2338886214 2394573981 2958003153 3192765308 3944004204 4677772428 4789147962 5587339289 5916006306 7183721943 9578295924 11174678578 11832012612 14367443886 16762017867 22349357156 28734887772 33524035734 50286053601 67048071468 100572107202 201144214404