Search a number
-
+
11424421123140 = 22357191063249127
BaseRepresentation
bin1010011000111111010010…
…0100000001010001000100
31111110011102112212122100110
42212033310210001101010
52444134203301420030
640144150121113020
72256246543204144
oct246176444012104
944404375778313
1011424421123140
113705084987603
121346167628770
1364b41a3876cc
142b6d32c76924
1514c29702b1b0
hexa63f4901444

11424421123140 has 96 divisors (see below), whose sum is σ = 32063132344320. Its totient is φ = 3039400976256.

The previous prime is 11424421123121. The next prime is 11424421123261. The reversal of 11424421123140 is 4132112442411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11424421123098 and 11424421123107.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 45733257 + ... + 45982383.

It is an arithmetic number, because the mean of its divisors is an integer number (333990961920).

Almost surely, 211424421123140 is an apocalyptic number.

11424421123140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11424421123140 is an abundant number, since it is smaller than the sum of its proper divisors (20638711221180).

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

11424421123140 is a wasteful number, since it uses less digits than its factorization.

11424421123140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250921 (or 250919 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 11424421123140 its reverse (4132112442411), we get a palindrome (15556533565551).

The spelling of 11424421123140 in words is "eleven trillion, four hundred twenty-four billion, four hundred twenty-one million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 719 1063 1438 2126 2157 2876 3189 3595 4252 4314 5315 6378 7190 8628 10630 10785 12756 14380 15945 21260 21570 31890 43140 63780 249127 498254 747381 764297 996508 1245635 1494762 1528594 2292891 2491270 2989524 3057188 3736905 3821485 4585782 4982540 7473810 7642970 9171564 11464455 14947620 15285940 22928910 45857820 179122313 264822001 358244626 529644002 537366939 716489252 794466003 895611565 1059288004 1074733878 1324110005 1588932006 1791223130 2149467756 2648220010 2686834695 3177864012 3582446260 3972330015 5296440020 5373669390 7944660030 10747338780 15889320060 190407018719 380814037438 571221056157 761628074876 952035093595 1142442112314 1904070187190 2284884224628 2856105280785 3808140374380 5712210561570 11424421123140