Search a number
-
+
4224017150505 = 325652914376941
BaseRepresentation
bin111101011101111011000…
…010101011001000101001
3112221210221000111001012100
4331131323002223020221
51023201241342304010
612552253043004013
7614114040241065
oct75357302531051
915853830431170
104224017150505
11138943961a489
12582786969609
13248427b3a369
1410862d042aa5
1574d22bac2c0
hex3d77b0ab229

4224017150505 has 24 divisors (see below), whose sum is σ = 7322751638280. Its totient is φ = 2252463943680.

The previous prime is 4224017150497. The next prime is 4224017150531. The reversal of 4224017150505 is 5050517104224.

4224017150505 is a `hidden beast` number, since 42 + 2 + 40 + 1 + 71 + 5 + 0 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 608250249216 + 3615766901289 = 779904^2 + 1901517^2 .

It is not a de Polignac number, because 4224017150505 - 23 = 4224017150497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4224017150505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6894666 + ... + 7482275.

It is an arithmetic number, because the mean of its divisors is an integer number (305114651595).

Almost surely, 24224017150505 is an apocalyptic number.

4224017150505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4224017150505 is a deficient number, since it is larger than the sum of its proper divisors (3098734487775).

4224017150505 is a wasteful number, since it uses less digits than its factorization.

4224017150505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14383481 (or 14383478 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 4224017150505 in words is "four trillion, two hundred twenty-four billion, seventeen million, one hundred fifty thousand, five hundred five".

Divisors: 1 3 5 9 15 45 6529 19587 32645 58761 97935 293805 14376941 43130823 71884705 129392469 215654115 646962345 93867047789 281601143367 469335238945 844803430101 1408005716835 4224017150505