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2442412044 = 2232232277463
BaseRepresentation
bin1001000110010100…
…0100000000001100
320022012211101110100
42101211010000030
520000224141134
61042205211100
7114345105552
oct22145040014
96265741410
102442412044
111043750356
12581b60a90
132cc018337
1419253dbd2
15e4652999
hex9194400c

2442412044 has 108 divisors (see below), whose sum is σ = 6491264416. Its totient is φ = 774252864.

The previous prime is 2442412039. The next prime is 2442412073. The reversal of 2442412044 is 4402142442.

2442412044 is a `hidden beast` number, since 244 + 2 + 412 + 0 + 4 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2442411999 and 2442412017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5274957 + ... + 5275419.

Almost surely, 22442412044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442412044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245632208).

2442412044 is an abundant number, since it is smaller than the sum of its proper divisors (4048852372).

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

2442412044 is a wasteful number, since it uses less digits than its factorization.

2442412044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 2442412044 is about 49420.7653117594. The cubic root of 2442412044 is about 1346.7065661751.

Adding to 2442412044 its reverse (4402142442), we get a palindrome (6844554486).

The spelling of 2442412044 in words is "two billion, four hundred forty-two million, four hundred twelve thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 277 414 463 529 554 828 831 926 1058 1108 1389 1587 1662 1852 2116 2493 2778 3174 3324 4167 4761 4986 5556 6348 6371 8334 9522 9972 10649 12742 16668 19044 19113 21298 25484 31947 38226 42596 57339 63894 76452 95841 114678 127788 128251 146533 191682 229356 244927 256502 293066 383364 384753 439599 489854 513004 586132 734781 769506 879198 979708 1154259 1318797 1469562 1539012 1758396 2204343 2308518 2637594 2939124 2949773 4408686 4617036 5275188 5899546 8817372 8849319 11799092 17698638 26547957 35397276 53095914 67844779 106191828 135689558 203534337 271379116 407068674 610603011 814137348 1221206022 2442412044