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242412301044 = 22333760663739
BaseRepresentation
bin1110000111000011100…
…1100010101011110100
3212011201010111210221000
43201300321202223310
512432430022113134
6303210200523300
723341126363314
oct3416071425364
9764633453830
10242412301044
1193896473771
123ab93480530
1319b230a63b4
14ba38bd1444
15648bb11e99
hex3870e62af4

242412301044 has 48 divisors (see below), whose sum is σ = 645462193600. Its totient is φ = 78620204448.

The previous prime is 242412300997. The next prime is 242412301063. The reversal of 242412301044 is 440103214242.

242412301044 is a `hidden beast` number, since 2 + 424 + 1 + 230 + 1 + 0 + 4 + 4 = 666.

242412301044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 242412300999 and 242412301017.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 30327874 + ... + 30335865.

Almost surely, 2242412301044 is an apocalyptic number.

It is an amenable number.

242412301044 is an abundant number, since it is smaller than the sum of its proper divisors (403049892556).

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

242412301044 is a wasteful number, since it uses less digits than its factorization.

242412301044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60663789 (or 60663781 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 242412301044 its reverse (440103214242), we get a palindrome (682515515286).

The spelling of 242412301044 in words is "two hundred forty-two billion, four hundred twelve million, three hundred one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 60663739 121327478 181991217 242654956 363982434 545973651 727964868 1091947302 1637920953 2183894604 2244558343 3275841906 4489116686 6551683812 6733675029 8978233372 13467350058 20201025087 26934700116 40402050174 60603075261 80804100348 121206150522 242412301044