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14311422132 = 2237401479887
BaseRepresentation
bin11010101010000011…
…01111100010110100
31100221101110120102120
431111001233202310
5213302211002012
610324035235540
71014436036530
oct152501574264
940841416376
1014311422132
1160844742a7
122934a48bb0
131470ca8927
1499a9c0bc0
1558b64b58c
hex35506f8b4

14311422132 has 96 divisors (see below), whose sum is σ = 38382059520. Its totient is φ = 4065676800.

The previous prime is 14311422131. The next prime is 14311422133. The reversal of 14311422132 is 23122411341.

14311422132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14311422131) and next prime (14311422133).

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 (14311422131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16134193 + ... + 16135079.

It is an arithmetic number, because the mean of its divisors is an integer number (399813120).

Almost surely, 214311422132 is an apocalyptic number.

14311422132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14311422132 is an abundant number, since it is smaller than the sum of its proper divisors (24070637388).

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

14311422132 is a wasteful number, since it uses less digits than its factorization.

14311422132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1779 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 14311422132 its reverse (23122411341), we get a palindrome (37433833473).

The spelling of 14311422132 in words is "fourteen billion, three hundred eleven million, four hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 401 479 802 887 958 1203 1437 1604 1774 1916 2406 2661 2807 2874 3353 3548 4812 5322 5614 5748 6209 6706 8421 10059 10644 11228 12418 13412 16842 18627 20118 24836 33684 37254 40236 74508 192079 355687 384158 424873 576237 711374 768316 849746 1067061 1152474 1274619 1344553 1422748 1699492 2134122 2304948 2489809 2549238 2689106 2974111 4033659 4268244 4979618 5098476 5378212 5948222 7469427 8067318 8922333 9959236 11896444 14938854 16134636 17844666 29877708 35689332 170374073 340748146 511122219 681496292 1022244438 1192618511 2044488876 2385237022 3577855533 4770474044 7155711066 14311422132