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14112434311300 = 22521310855718701
BaseRepresentation
bin1100110101011100111010…
…1000100101000010000100
31211222010122210220202110101
43031113032220211002010
53322204231140430200
650003055100333444
72654406164260363
oct315271650450204
954863583822411
1014112434311300
114551060292916
1216bb101844284
137b4a48890c30
1436b08ca837da
1519716ba9826a
hexcd5cea25084

14112434311300 has 36 divisors (see below), whose sum is σ = 32979673416676. Its totient is φ = 5210744976000.

The previous prime is 14112434311273. The next prime is 14112434311301. The reversal of 14112434311300 is 311343421141.

It can be written as a sum of positive squares in 6 ways, for example, as 5020906784644 + 9091527526656 = 2240738^2 + 3015216^2 .

It is not an unprimeable number, because it can be changed into a prime (14112434311301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5427858051 + ... + 5427860650.

Almost surely, 214112434311300 is an apocalyptic number.

14112434311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14112434311300 is an abundant number, since it is smaller than the sum of its proper divisors (18867239105376).

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

14112434311300 is a wasteful number, since it uses less digits than its factorization.

14112434311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10855718728 (or 10855718721 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 14112434311300 its reverse (311343421141), we get a palindrome (14423777732441).

The spelling of 14112434311300 in words is "fourteen trillion, one hundred twelve billion, four hundred thirty-four million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 10855718701 21711437402 43422874804 54278593505 108557187010 141124343113 217114374020 271392967525 282248686226 542785935050 564497372452 705621715565 1085571870100 1411243431130 2822486862260 3528108577825 7056217155650 14112434311300