Search a number
-
+
4022024411440 = 24577182186449
BaseRepresentation
bin111010100001110011010…
…101100001100100110000
3112020111112210111201121101
4322201303111201210300
51011344101222131230
612315405325334144
7563403341263150
oct72416325414460
915214483451541
104022024411440
111310804a209a2
1254b5b3a07354
13232376a16a59
14dc94a436760
156e94e80baca
hex3a873561930

4022024411440 has 40 divisors (see below), whose sum is σ = 10687093437600. Its totient is φ = 1378979798016.

The previous prime is 4022024411423. The next prime is 4022024411473. The reversal of 4022024411440 is 441144202204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4022024411399 and 4022024411408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3591092665 + ... + 3591093784.

It is an arithmetic number, because the mean of its divisors is an integer number (267177335940).

Almost surely, 24022024411440 is an apocalyptic number.

4022024411440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022024411440 is an abundant number, since it is smaller than the sum of its proper divisors (6665069026160).

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

4022024411440 is a wasteful number, since it uses less digits than its factorization.

4022024411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7182186469 (or 7182186463 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 4022024411440 its reverse (441144202204), we get a palindrome (4463168613644).

The spelling of 4022024411440 in words is "four trillion, twenty-two billion, twenty-four million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 7182186449 14364372898 28728745796 35910932245 50275305143 57457491592 71821864490 100550610286 114914983184 143643728980 201101220572 251376525715 287287457960 402202441144 502753051430 574574915920 804404882288 1005506102860 2011012205720 4022024411440