Search a number
-
+
2402040224424 = 233294380260633
BaseRepresentation
bin100010111101000100110…
…000010001101010101000
322111122002022110100201110
4202331010300101222220
5303323334244140144
65035252042150320
7335353540012161
oct42750460215250
98448068410643
102402040224424
118467770a3a75
123296464b23a0
131456857917a9
148438b9bc768
1542738a820b9
hex22f44c11aa8

2402040224424 has 64 divisors (see below), whose sum is σ = 6356642212800. Its totient is φ = 755092025856.

The previous prime is 2402040224407. The next prime is 2402040224491. The reversal of 2402040224424 is 4244220402042.

It is a happy number.

It is a super-2 number, since 2×24020402244242 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2402040224391 and 2402040224400.

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 15 ways as a sum of consecutive naturals, for example, 40100389 + ... + 40160244.

It is an arithmetic number, because the mean of its divisors is an integer number (99322534575).

Almost surely, 22402040224424 is an apocalyptic number.

2402040224424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2402040224424 is an abundant number, since it is smaller than the sum of its proper divisors (3954601988376).

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

2402040224424 is a wasteful number, since it uses less digits than its factorization.

2402040224424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80260714 (or 80260710 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 2402040224424 its reverse (4244220402042), we get a palindrome (6646260626466).

The spelling of 2402040224424 in words is "two trillion, four hundred two billion, forty million, two hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 86 87 116 129 172 174 232 258 344 348 516 696 1032 1247 2494 3741 4988 7482 9976 14964 29928 80260633 160521266 240781899 321042532 481563798 642085064 963127596 1926255192 2327558357 3451207219 4655116714 6902414438 6982675071 9310233428 10353621657 13804828876 13965350142 18620466856 20707243314 27609657752 27930700284 41414486628 55861400568 82828973256 100085009351 200170018702 300255028053 400340037404 600510056106 800680074808 1201020112212 2402040224424