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204441014232 = 233371310400947
BaseRepresentation
bin1011111001100110100…
…0100100111111011000
3201112200211211120202000
42332121220210333120
511322143344423412
6233530252241000
720525144643240
oct2763150447730
9645624746660
10204441014232
11797806939a4
1233756a70160
1316381412550
149c75c34b20
1554b82b04dc
hex2f99a24fd8

204441014232 has 128 divisors (see below), whose sum is σ = 698943705600. Its totient is φ = 53918504064.

The previous prime is 204441014191. The next prime is 204441014251. The reversal of 204441014232 is 232410144402.

204441014232 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 410 + 14 + 232 = 666.

204441014232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2044410142322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 204441014196 and 204441014205.

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, 5180818 + ... + 5220129.

It is an arithmetic number, because the mean of its divisors is an integer number (5460497700).

Almost surely, 2204441014232 is an apocalyptic number.

It is an amenable number.

204441014232 is an abundant number, since it is smaller than the sum of its proper divisors (494502691368).

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

204441014232 is a wasteful number, since it uses less digits than its factorization.

204441014232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10400982 (or 10400972 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 204441014232 its reverse (232410144402), we get a palindrome (436851158634).

The spelling of 204441014232 in words is "two hundred four billion, four hundred forty-one million, fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 10400947 20801894 31202841 41603788 62405682 72806629 83207576 93608523 124811364 135212311 145613258 187217046 218419887 249622728 270424622 280825569 291226516 374434092 405636933 436839774 540849244 561651138 582453032 655259661 748868184 811273866 873679548 946486177 1081698488 1123302276 1216910799 1310519322 1622547732 1747359096 1892972354 1965778983 2246604552 2433821598 2621038644 2839458531 3245095464 3650732397 3785944708 3931557966 4867643196 5242077288 5678917062 7301464794 7571889416 7863115932 8518375593 9735286392 11357834124 14602929588 15726231864 17036751186 22715668248 25555126779 29205859176 34073502372 51110253558 68147004744 102220507116 204441014232