Search a number
-
+
4320121434030 = 2325892811919363
BaseRepresentation
bin111110110111011011010…
…011011010111110101110
3120021222222200122111002200
4332313123103122332232
51031240102041342110
613104345243202330
7624055431205443
oct76673323327656
916258880574080
104320121434030
111416175a19096
12599327b163a6
1325450250b80c
1410d1489379ca
1577599dc06c0
hex3eddb4dafae

4320121434030 has 96 divisors (see below), whose sum is σ = 11398949246880. Its totient is φ = 1135033912320.

The previous prime is 4320121434007. The next prime is 4320121434071. The reversal of 4320121434030 is 304341210234.

4320121434030 is a `hidden beast` number, since 4 + 3 + 201 + 21 + 434 + 0 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4320121433985 and 4320121434003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1291129 + ... + 3210491.

It is an arithmetic number, because the mean of its divisors is an integer number (118739054655).

Almost surely, 24320121434030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4320121434030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5699474623440).

4320121434030 is an abundant number, since it is smaller than the sum of its proper divisors (7078827812850).

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

4320121434030 is a wasteful number, since it uses less digits than its factorization.

4320121434030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919746 (or 1919743 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4320121434030 its reverse (304341210234), we get a palindrome (4624462644264).

The spelling of 4320121434030 in words is "four trillion, three hundred twenty billion, one hundred twenty-one million, four hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 281 445 534 562 801 843 890 1335 1405 1602 1686 2529 2670 2810 4005 4215 5058 8010 8430 12645 25009 25290 50018 75027 125045 150054 225081 250090 375135 450162 750270 1125405 1919363 2250810 3838726 5758089 9596815 11516178 17274267 19193630 28790445 34548534 57580890 86371335 170823307 172742670 341646614 512469921 539341003 854116535 1024939842 1078682006 1537409763 1618023009 1708233070 2562349605 2696705015 3074819526 3236046018 4854069027 5124699210 5393410030 7687048815 8090115045 9708138054 15374097630 16180230090 24270345135 48001349267 48540690270 96002698534 144004047801 240006746335 288008095602 432012143403 480013492670 720020239005 864024286806 1440040478010 2160060717015 4320121434030