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14311212320 = 2552922313831
BaseRepresentation
bin11010101010000001…
…11100010100100000
31100221101001220121202
431111000330110200
5213302132243240
610324030540332
71014434204036
oct152500742440
940841056552
1014311212320
1160843406a9
1229349676a8
131470c34292
1499a968556
1558b609315
hex35503c520

14311212320 has 96 divisors (see below), whose sum is σ = 35135493120. Its totient is φ = 5501905920.

The previous prime is 14311212317. The next prime is 14311212337. The reversal of 14311212320 is 2321211341.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14311212292 and 14311212301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027805 + ... + 1041635.

It is an arithmetic number, because the mean of its divisors is an integer number (365994720).

Almost surely, 214311212320 is an apocalyptic number.

14311212320 is a gapful number since it is divisible by the number (10) 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 14311212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17567746560).

14311212320 is an abundant number, since it is smaller than the sum of its proper divisors (20824280800).

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

14311212320 is a wasteful number, since it uses less digits than its factorization.

14311212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14098 (or 14090 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14311212320 its reverse (2321211341), we get a palindrome (16632423661).

The spelling of 14311212320 in words is "fourteen billion, three hundred eleven million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 223 232 290 446 464 580 892 928 1115 1160 1784 2230 2320 3568 4460 4640 6467 7136 8920 12934 13831 17840 25868 27662 32335 35680 51736 55324 64670 69155 103472 110648 129340 138310 206944 221296 258680 276620 401099 442592 517360 553240 802198 1034720 1106480 1604396 2005495 2212960 3084313 3208792 4010990 6168626 6417584 8021980 12337252 12835168 15421565 16043960 24674504 30843130 32087920 49349008 61686260 64175840 89445077 98698016 123372520 178890154 246745040 357780308 447225385 493490080 715560616 894450770 1431121232 1788901540 2862242464 3577803080 7155606160 14311212320