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11424403400 = 2352431936883
BaseRepresentation
bin10101010001111001…
…01000111111001000
31002111012000211020212
422220330220333020
5141344121402100
65125344340252
7553051553354
oct125074507710
932435024225
1011424403400
114932861403
12226a014688
131100b31717
147a53c8464
1546ce73635
hex2a8f28fc8

11424403400 has 96 divisors (see below), whose sum is σ = 27324248160. Its totient is φ = 4439715840.

The previous prime is 11424403399. The next prime is 11424403453. The reversal of 11424403400 is 430442411.

It is a happy number.

11424403400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 1656359 + ... + 1663241.

It is an arithmetic number, because the mean of its divisors is an integer number (284627585).

Almost surely, 211424403400 is an apocalyptic number.

11424403400 is a gapful number since it is divisible by the number (10) 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 11424403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13662124080).

11424403400 is an abundant number, since it is smaller than the sum of its proper divisors (15899844760).

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

11424403400 is a wasteful number, since it uses less digits than its factorization.

11424403400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7135 (or 7126 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 11424403400 its reverse (430442411), we get a palindrome (11854845811).

The spelling of 11424403400 in words is "eleven billion, four hundred twenty-four million, four hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 193 200 215 344 386 430 772 860 965 1075 1544 1720 1930 2150 3860 4300 4825 6883 7720 8299 8600 9650 13766 16598 19300 27532 33196 34415 38600 41495 55064 66392 68830 82990 137660 165980 172075 207475 275320 295969 331960 344150 414950 591938 688300 829900 1183876 1328419 1376600 1479845 1659800 2367752 2656838 2959690 5313676 5919380 6642095 7399225 10627352 11838760 13284190 14798450 26568380 29596900 33210475 53136760 57122017 59193800 66420950 114244034 132841900 228488068 265683800 285610085 456976136 571220170 1142440340 1428050425 2284880680 2856100850 5712201700 11424403400