Search a number
-
+
4411112111253 = 34532835636449
BaseRepresentation
bin100000000110000101011…
…0001010011110010010101
3120121200211222122210220000
41000030022301103302111
51034232424200030003
613214234213201513
7633456320204001
oct100141261236225
916550758583800
104411112111253
111450818875691
125b2aa0630299
1325cc73655723
141136db237701
1579b231db1a3
hex4030ac53c95

4411112111253 has 80 divisors (see below), whose sum is σ = 6750505396800. Its totient is φ = 2869508768256.

The previous prime is 4411112111167. The next prime is 4411112111269. The reversal of 4411112111253 is 3521112111144.

4411112111253 is a `hidden beast` number, since 4 + 411 + 1 + 121 + 1 + 125 + 3 = 666.

It is not a de Polignac number, because 4411112111253 - 225 = 4411078556821 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4411112111293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 683996173 + ... + 684002621.

It is an arithmetic number, because the mean of its divisors is an integer number (84381317460).

Almost surely, 24411112111253 is an apocalyptic number.

It is an amenable number.

4411112111253 is a deficient number, since it is larger than the sum of its proper divisors (2339393285547).

4411112111253 is a wasteful number, since it uses less digits than its factorization.

4411112111253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7360 (or 7351 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

Adding to 4411112111253 its reverse (3521112111144), we get a palindrome (7932224222397).

The spelling of 4411112111253 in words is "four trillion, four hundred eleven billion, one hundred twelve million, one hundred eleven thousand, two hundred fifty-three".

Divisors: 1 3 9 27 53 81 159 283 477 563 849 1431 1689 2547 4293 5067 6449 7641 14999 15201 19347 22923 29839 44997 45603 58041 89517 134991 159329 174123 268551 341797 404973 477987 522369 805653 1025391 1214919 1433961 1825067 2416959 3076173 3630787 4301883 5475201 8444437 9228519 10892361 12905649 16425603 25333311 27685557 32677083 49276809 75999933 96728551 98031249 147830427 192431711 227999799 290185653 294093747 577295133 683999397 870556959 1027512721 1731885399 2611670877 3082538163 5195656197 7835012631 9247614489 15586968591 27742843467 54458174213 83228530401 163374522639 490123567917 1470370703751 4411112111253