Search a number
-
+
14182438872 = 23372112310739
BaseRepresentation
bin11010011010101011…
…01101011111011000
31100121101202112122210
431031111231133120
5213021201020442
610303150515120
71011311512200
oct151525553730
940541675583
1014182438872
116018687268
1228b9805aa0
131450357b84
14987807400
1558016e19c
hex34d56d7d8

14182438872 has 96 divisors (see below), whose sum is σ = 41285419200. Its totient is φ = 4048140096.

The previous prime is 14182438841. The next prime is 14182438873. The reversal of 14182438872 is 27883428141.

It is a super-2 number, since 2×141824388722 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14182438873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1315279 + ... + 1326017.

It is an arithmetic number, because the mean of its divisors is an integer number (430056450).

Almost surely, 214182438872 is an apocalyptic number.

14182438872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14182438872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20642709600).

14182438872 is an abundant number, since it is smaller than the sum of its proper divisors (27102980328).

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

14182438872 is a wasteful number, since it uses less digits than its factorization.

14182438872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11885 (or 11874 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The spelling of 14182438872 in words is "fourteen billion, one hundred eighty-two million, four hundred thirty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1123 1176 2246 3369 4492 6738 7861 8984 10739 13476 15722 21478 23583 26952 31444 32217 42956 47166 55027 62888 64434 75173 85912 94332 110054 128868 150346 165081 188664 220108 225519 257736 300692 330162 440216 451038 526211 601384 660324 902076 1052422 1320648 1578633 1804152 2104844 3157266 4209688 6314532 12059897 12629064 24119794 36179691 48239588 72359382 84419279 96479176 144718764 168838558 253257837 289437528 337677116 506515674 590934953 675354232 1013031348 1181869906 1772804859 2026062696 2363739812 3545609718 4727479624 7091219436 14182438872