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1024114240044 = 22327191811181723
BaseRepresentation
bin11101110011100011111…
…01110010101000101100
310121220102021121202001200
432321301331302220230
5113234341221140134
62102245510205500
7133663335260610
oct16716175625054
93556367552050
101024114240044
113653628763a5
12146591953890
137575c15312c
14377d2cdd340
151b98d7c1499
hexee71f72a2c

1024114240044 has 144 divisors (see below), whose sum is σ = 3131474062080. Its totient is φ = 275672108160.

The previous prime is 1024114240021. The next prime is 1024114240073. The reversal of 1024114240044 is 4400424114201.

It is a happy number.

1024114240044 is a `hidden beast` number, since 1 + 0 + 2 + 411 + 4 + 240 + 0 + 4 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275767 + ... + 1457489.

Almost surely, 21024114240044 is an apocalyptic number.

1024114240044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024114240044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565737031040).

1024114240044 is an abundant number, since it is smaller than the sum of its proper divisors (2107359822036).

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

1024114240044 is a wasteful number, since it uses less digits than its factorization.

1024114240044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181940 (or 1181935 counting only the distinct ones).

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

Adding to 1024114240044 its reverse (4400424114201), we get a palindrome (5424538354245).

The spelling of 1024114240044 in words is "one trillion, twenty-four billion, one hundred fourteen million, two hundred forty thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 181 228 252 266 342 362 399 532 543 684 724 798 1086 1197 1267 1596 1629 2172 2394 2534 3258 3439 3801 4788 5068 6516 6878 7602 10317 11403 13756 15204 20634 22806 24073 30951 41268 45612 48146 61902 72219 96292 123804 144438 216657 288876 433314 866628 1181723 2363446 3545169 4726892 7090338 8272061 10635507 14180676 16544122 21271014 22452737 24816183 33088244 42542028 44905474 49632366 67358211 74448549 89810948 99264732 134716422 148897098 157169159 202074633 213891863 269432844 297794196 314338318 404149266 427783726 471507477 628676636 641675589 808298532 855567452 943014954 1283351178 1414522431 1497243041 1886029908 1925026767 2566702356 2829044862 2994486082 3850053534 4063945397 4491729123 5658089724 5988972164 7700107068 8127890794 8983458246 12191836191 13475187369 16255781588 17966916492 24383672382 26950374738 28447617779 36575508573 48767344764 53900749476 56895235558 73151017146 85342853337 113790471116 146302034292 170685706674 256028560011 341371413348 512057120022 1024114240044