Search a number
-
+
422421040124224 = 2643153496017487
BaseRepresentation
bin110000000001100001001000…
…0000010101101000101000000
32001101200001112120211220012121
41200003002100002231011000
5420331421242232433344
64054225314041134024
7154655625110324341
oct14003022002550500
92041601476756177
10422421040124224
11112661836724629
123b46403b78a314
131519219672721b
1476454049d40c8
1533c8219ab1684
hex18030900ad140

422421040124224 has 28 divisors (see below), whose sum is σ = 857735745722944. Its totient is φ = 206298647501184.

The previous prime is 422421040124203. The next prime is 422421040124297.

422421040124224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4224210401242242 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 422421040124224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76748005992 + ... + 76748011495.

Almost surely, 2422421040124224 is an apocalyptic number.

It is an amenable number.

422421040124224 is an abundant number, since it is smaller than the sum of its proper divisors (435314705598720).

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

422421040124224 is a wasteful number, since it uses less digits than its factorization.

422421040124224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153496017542 (or 153496017532 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

The spelling of 422421040124224 in words is "four hundred twenty-two trillion, four hundred twenty-one billion, forty million, one hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 2752 153496017487 306992034974 613984069948 1227968139896 2455936279792 4911872559584 6600328751941 9823745119168 13200657503882 26401315007764 52802630015528 105605260031056 211210520062112 422421040124224