Search a number
-
+
440340430341 = 373110112752733
BaseRepresentation
bin1100110100001100101…
…01011011111000000101
31120002121002012120010110
412122012111123320011
524203304122232331
6534142315343233
743546021621050
oct6320625337005
91502532176113
10440340430341
1115a824769829
1271411151b19
13326a70a6076
1417453a69a97
15b6c3228946
hex668655be05

440340430341 has 64 divisors (see below), whose sum is σ = 705018986496. Its totient is φ = 239192352000.

The previous prime is 440340430333. The next prime is 440340430349. The reversal of 440340430341 is 143034043044.

It is an interprime number because it is at equal distance from previous prime (440340430333) and next prime (440340430349).

It is not a de Polignac number, because 440340430341 - 23 = 440340430333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 440340430299 and 440340430308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440340430349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8324011 + ... + 8376743.

It is an arithmetic number, because the mean of its divisors is an integer number (11015921664).

Almost surely, 2440340430341 is an apocalyptic number.

It is an amenable number.

440340430341 is a deficient number, since it is larger than the sum of its proper divisors (264678556155).

440340430341 is a wasteful number, since it uses less digits than its factorization.

440340430341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53002.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 440340430341 its reverse (143034043044), we get a palindrome (583374473385).

The spelling of 440340430341 in words is "four hundred forty billion, three hundred forty million, four hundred thirty thousand, three hundred forty-one".

Divisors: 1 3 7 21 31 93 101 127 217 303 381 651 707 889 2121 2667 3131 3937 9393 11811 12827 21917 27559 38481 52733 65751 82677 89789 158199 269367 369131 397637 1107393 1192911 1634723 2783459 4904169 5326033 6697091 8350377 11443061 15978099 20091273 34329183 37282231 46879637 111846693 140638911 165107023 207609821 495321069 622829463 676406191 1155749161 1453268747 2029218573 3467247483 4359806241 4734843337 14204530011 20968591921 62905775763 146780143447 440340430341