Search a number
-
+
14112024131331 = 3271817457165961
BaseRepresentation
bin1100110101011011011000…
…1011110111011100000011
31211222002121020002110022200
43031112312023313130003
53322202411134200311
650002550245004243
72654363053636410
oct315266613673403
954862536073280
1014112024131331
11455096a7a4605
1216bb0083b3683
137b49b18c6ba9
1436b0503cd107
15197145a73556
hexcd5b62f7703

14112024131331 has 48 divisors (see below), whose sum is σ = 23428029713088. Its totient is φ = 8018337484800.

The previous prime is 14112024131291. The next prime is 14112024131339. The reversal of 14112024131331 is 13313142021141.

14112024131331 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 202 + 413 + 13 + 31 = 666.

It is not a de Polignac number, because 14112024131331 - 26 = 14112024131267 is a prime.

It is a super-2 number, since 2×141120241313312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14112024131295 and 14112024131304.

It is not an unprimeable number, because it can be changed into a prime (14112024131339) 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, 84949191 + ... + 85115151.

It is an arithmetic number, because the mean of its divisors is an integer number (488083952356).

Almost surely, 214112024131331 is an apocalyptic number.

14112024131331 is a deficient number, since it is larger than the sum of its proper divisors (9316005581757).

14112024131331 is a wasteful number, since it uses less digits than its factorization.

14112024131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173612 (or 173609 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 14112024131331 its reverse (13313142021141), we get a palindrome (27425166152472).

The spelling of 14112024131331 in words is "fourteen trillion, one hundred twelve billion, twenty-four million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 181 543 1267 1629 3801 7457 11403 22371 52199 67113 156597 165961 469791 497883 1161727 1349717 1493649 3485181 4049151 9448019 10455543 12147453 28344057 30038941 85032171 90116823 210272587 270350469 630817761 1237571177 1892453283 3712713531 8662998239 11138140593 25988994717 77966984151 224000383037 672001149111 1568002681259 2016003447333 4704008043777 14112024131331