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424204304544 = 25323147513923
BaseRepresentation
bin1100010110001001000…
…11000000000010100000
31111112221112020102211200
412023010203000002200
523422232300221134
6522513214241200
742435115044366
oct6130443000240
91445845212750
10424204304544
111539a42a8679
126a2691b6200
133100506b037
14167629c1636
15b07b7e4499
hex62c48c00a0

424204304544 has 72 divisors (see below), whose sum is σ = 1245244920192. Its totient is φ = 136840095360.

The previous prime is 424204304543. The next prime is 424204304581. The reversal of 424204304544 is 445403402424.

424204304544 is a `hidden beast` number, since 42 + 42 + 0 + 4 + 30 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 424204304499 and 424204304508.

It is not an unprimeable number, because it can be changed into a prime (424204304543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23748034 + ... + 23765889.

It is an arithmetic number, because the mean of its divisors is an integer number (17295068336).

Almost surely, 2424204304544 is an apocalyptic number.

It is an amenable number.

424204304544 is an abundant number, since it is smaller than the sum of its proper divisors (821040615648).

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

424204304544 is a wasteful number, since it uses less digits than its factorization.

424204304544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47513970 (or 47513959 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 424204304544 its reverse (445403402424), we get a palindrome (869607706968).

The spelling of 424204304544 in words is "four hundred twenty-four billion, two hundred four million, three hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 47513923 95027846 142541769 190055692 285083538 380111384 427625307 570167076 760222768 855250614 1140334152 1472931613 1520445536 1710501228 2280668304 2945863226 3421002456 4418794839 4561336608 5891726452 6842004912 8837589678 11783452904 13256384517 13684009824 17675179356 23566905808 26512769034 35350358712 47133811616 53025538068 70700717424 106051076136 141401434848 212102152272 424204304544