Search a number
-
+
1330321340430 = 2325293067166189
BaseRepresentation
bin10011010110111101010…
…101001011100000001110
311201011210101022010210200
4103112331111023200032
5133243444230343210
62455050255114330
7165053413550655
oct23267525134016
94634711263720
101330321340430
11473205796025
121959a9b129a6
13985aac1c8b4
144856056019c
1524910d760c0
hex135bd54b80e

1330321340430 has 96 divisors (see below), whose sum is σ = 3579293858400. Its totient is φ = 342405778176.

The previous prime is 1330321340423. The next prime is 1330321340461. The reversal of 1330321340430 is 340431230331.

1330321340430 is a `hidden beast` number, since 1 + 330 + 321 + 3 + 4 + 0 + 4 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1330321340394 and 1330321340403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7921776 + ... + 8087964.

It is an arithmetic number, because the mean of its divisors is an integer number (37284311025).

Almost surely, 21330321340430 is an apocalyptic number.

1330321340430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330321340430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789646929200).

1330321340430 is an abundant number, since it is smaller than the sum of its proper divisors (2248972517970).

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

1330321340430 is a wasteful number, since it uses less digits than its factorization.

1330321340430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169298 (or 169295 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1330321340430 its reverse (340431230331), we get a palindrome (1670752570761).

The spelling of 1330321340430 in words is "one trillion, three hundred thirty billion, three hundred twenty-one million, three hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 3067 6134 9201 15335 18402 27603 30670 46005 55206 88943 92010 138015 166189 177886 266829 276030 332378 444715 498567 533658 800487 830945 889430 997134 1334145 1495701 1600974 1661890 2492835 2668290 2991402 4002435 4819481 4985670 7478505 8004870 9638962 14458443 14957010 24097405 28916886 43375329 48194810 72292215 86750658 144584430 216876645 433753290 509701663 1019403326 1529104989 2548508315 3058209978 4587314967 5097016630 7645524945 9174629934 14781348227 15291049890 22936574835 29562696454 44344044681 45873149670 73906741135 88688089362 133032134043 147813482270 221720223405 266064268086 443440446810 665160670215 1330321340430