Search a number
-
+
4442102030324 = 22729710913116363
BaseRepresentation
bin100000010100100000111…
…1010011101111111110100
3120201122211201122210221102
41000221001322131333310
51040234411104432244
613240401250505232
7635634300156200
oct100510172357764
916648751583842
104442102030324
111462980877552
125b8aaab95218
13262b71b3834a
14114ddad27b00
157a838ba454e
hex40a41e9dff4

4442102030324 has 144 divisors (see below), whose sum is σ = 9290841658560. Its totient is φ = 1852482078720.

The previous prime is 4442102030269. The next prime is 4442102030329. The reversal of 4442102030324 is 4230302012444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442102030329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271464167 + ... + 271480529.

It is an arithmetic number, because the mean of its divisors is an integer number (64519733740).

Almost surely, 24442102030324 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 4442102030324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645420829280).

4442102030324 is an abundant number, since it is smaller than the sum of its proper divisors (4848739628236).

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

4442102030324 is a wasteful number, since it uses less digits than its factorization.

4442102030324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16718 (or 16709 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 4442102030324 its reverse (4230302012444), we get a palindrome (8672404042768).

The spelling of 4442102030324 in words is "four trillion, four hundred forty-two billion, one hundred two million, thirty thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 97 98 109 131 194 196 218 262 388 436 524 679 763 917 1358 1526 1834 2716 3052 3668 4753 5341 6419 9506 10573 10682 12707 12838 14279 16363 19012 21146 21364 25414 25676 28558 32726 42292 50828 57116 65452 74011 88949 99953 114541 148022 177898 199906 229082 296044 355796 399812 458164 518077 622643 699671 801787 1036154 1245286 1385063 1399342 1587211 1603574 1783567 2072308 2143553 2490572 2770126 2798684 3174422 3207148 3567134 4287106 5540252 6348844 7134268 8574212 9695441 11110477 12484969 15004871 19390882 22220954 24969938 30009742 38781764 44441908 49939876 60019484 67868087 77773339 87394783 105034097 135736174 155546678 173005999 174789566 207924641 210068194 233647277 271472348 311093356 346011998 349579132 415849282 420136388 467294554 692023996 831698564 934589108 1211041993 1455472487 1635530939 2422083986 2910944974 3271061878 4844167972 5821889948 6542123756 8477293951 10188307409 11448716573 16954587902 20376614818 22663785869 22897433146 33909175804 40753229636 45327571738 45794866292 90655143476 158646501083 317293002166 634586004332 1110525507581 2221051015162 4442102030324