Search a number
-
+
330442244214324 = 223113783059814579
BaseRepresentation
bin100101100100010010001010…
…0100101011100111000110100
31121022222222012011011011010120
41023020210110211130320310
5321302431204004324244
63130443023223451540
7126413443600030104
oct11310442445347064
91538888164134116
10330442244214324
119631a85027a3a0
1231089b06bb6bb0
131124c754177108
145b856c061d204
152830863a6a819
hex12c891495ce34

330442244214324 has 96 divisors (see below), whose sum is σ = 863870300966400. Its totient is φ = 97426396114560.

The previous prime is 330442244214323. The next prime is 330442244214331. The reversal of 330442244214324 is 423412442244033.

It is a super-2 number, since 2×3304422442143242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330442244214323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405252867 + ... + 406067445.

It is an arithmetic number, because the mean of its divisors is an integer number (8998648968400).

Almost surely, 2330442244214324 is an apocalyptic number.

It is an amenable number.

330442244214324 is an abundant number, since it is smaller than the sum of its proper divisors (533428056752076).

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

330442244214324 is a wasteful number, since it uses less digits than its factorization.

330442244214324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897693 (or 897691 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 42.

Adding to 330442244214324 its reverse (423412442244033), we get a palindrome (753854686458357).

The spelling of 330442244214324 in words is "three hundred thirty trillion, four hundred forty-two billion, two hundred forty-four million, two hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 83059 166118 249177 332236 498354 814579 913649 996708 1629158 1827298 2443737 2740947 3073183 3258316 3654596 4887474 5481894 6146366 8960369 9219549 9774948 10963788 12292732 17920738 18439098 26881107 30139423 33805013 35841476 36878196 53762214 60278846 67610026 90418269 101415039 107524428 120557692 135220052 180836538 202830078 331533653 361673076 405660156 663067306 994600959 1326134612 1989201918 3978403836 67658117161 135316234322 202974351483 270632468644 405948702966 744239288771 811897405932 1488478577542 2232717866313 2503350334957 2976957155084 4465435732626 5006700669914 7510051004871 8930871465252 10013401339828 15020102009742 27536853684527 30040204019484 55073707369054 82610561053581 110147414738108 165221122107162 330442244214324