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14211230320 = 24571733832
BaseRepresentation
bin11010011110000111…
…00010101001110000
31100200101221022002201
431033003202221300
5213101033332240
610310055552544
71012111315240
oct151703425160
940611838081
1014211230320
116032961751
12290738b754
1314562c8a31
1498b57db20
15582959d9a
hex34f0e2a70

14211230320 has 120 divisors (see below), whose sum is σ = 38078964576. Its totient is φ = 4831609344.

The previous prime is 14211230311. The next prime is 14211230321. The reversal of 14211230320 is 2303211241.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14211230321) 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, 37104849 + ... + 37105231.

Almost surely, 214211230320 is an apocalyptic number.

14211230320 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 14211230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19039482288).

14211230320 is an abundant number, since it is smaller than the sum of its proper divisors (23867734256).

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

14211230320 is an equidigital number, since it uses as much as digits as its factorization.

14211230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 14211230320 its reverse (2303211241), we get a palindrome (16514441561).

The spelling of 14211230320 in words is "fourteen billion, two hundred eleven million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 173 280 346 383 560 692 766 865 1211 1384 1532 1730 1915 2422 2681 2768 3064 3460 3830 4844 5362 6055 6128 6920 7660 9688 10724 12110 13405 13840 15320 19376 21448 24220 26810 30640 42896 48440 53620 66259 96880 107240 132518 146689 214480 265036 293378 331295 463813 530072 586756 662590 733445 927626 1026823 1060144 1173512 1325180 1466890 1855252 2053646 2319065 2347024 2650360 2933780 3710504 4107292 4638130 5134115 5300720 5867560 7421008 8214584 9276260 10268230 11735120 16429168 18552520 20536460 25377197 37105040 41072920 50754394 82145840 101508788 126885985 177640379 203017576 253771970 355280758 406035152 507543940 710561516 888201895 1015087880 1421123032 1776403790 2030175760 2842246064 3552807580 7105615160 14211230320