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204014220404232 = 23373374577885061
BaseRepresentation
bin101110011000110011000011…
…001000101110011000001000
3222202100120100210112010211210
4232120303003020232120020
5203220032110410413412
62001522501120053120
760654353365625250
oct5630630310563010
9882316323463753
10204014220404232
115a006a43862107
121aa6b3a57641a0
1389ab5c6245b94
1438544ab810960
15188bd286b783c
hexb98cc322e608

204014220404232 has 128 divisors (see below), whose sum is σ = 585906786167040. Its totient is φ = 57989632942080.

The previous prime is 204014220404209. The next prime is 204014220404263. The reversal of 204014220404232 is 232404022410402.

It is a happy number.

204014220404232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 204014220404232.

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, 21930982 + ... + 29816042.

It is an arithmetic number, because the mean of its divisors is an integer number (4577396766930).

Almost surely, 2204014220404232 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 204014220404232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292953393083520).

204014220404232 is an abundant number, since it is smaller than the sum of its proper divisors (381892565762808).

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

204014220404232 is a wasteful number, since it uses less digits than its factorization.

204014220404232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7885871 (or 7885867 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 204014220404232 its reverse (232404022410402), we get a palindrome (436418242814634).

The spelling of 204014220404232 in words is "two hundred four trillion, fourteen billion, two hundred twenty million, four hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 337 457 674 914 1011 1348 1371 1828 2022 2359 2696 2742 3199 3656 4044 4718 5484 6398 7077 8088 9436 9597 10968 12796 14154 18872 19194 25592 28308 38388 56616 76776 154009 308018 462027 616036 924054 1078063 1232072 1848108 2156126 3234189 3696216 4312252 6468378 7885061 8624504 12936756 15770122 23655183 25873512 31540244 47310366 55195427 63080488 94620732 110390854 165586281 189241464 220781708 331172562 441563416 662345124 1324690248 2657265557 3603472877 5314531114 7206945754 7971796671 10629062228 10810418631 14413891508 15943593342 18600858899 21258124456 21620837262 25224310139 28827783016 31887186684 37201717798 43241674524 50448620278 55802576697 63774373368 74403435596 75672930417 86483349048 100897240556 111605153394 148806871192 151345860834 201794481112 223210306788 302691721668 446420613576 605383443336 1214370359549 2428740719098 3643111078647 4857481438196 7286222157294 8500592516843 9714962876392 14572444314588 17001185033686 25501777550529 29144888629176 34002370067372 51003555101058 68004740134744 102007110202116 204014220404232