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14130211112000 = 26536977253157
BaseRepresentation
bin1100110110011111001000…
…1101101100010001000000
31212000211112201002210121022
43031213302031230101000
53323002133021041000
650015155051045012
72655605542502564
oct315476215542100
955024481083538
1014130211112000
114558652887345
121702643140768
137b661c7a3809
1436bc979ad6a4
1519785c563585
hexcd9f236c440

14130211112000 has 112 divisors (see below), whose sum is σ = 34998621613488. Its totient is φ = 5651252019200.

The previous prime is 14130211111969. The next prime is 14130211112009. The reversal of 14130211112000 is 21111203141.

It can be written as a sum of positive squares in 8 ways, for example, as 5669884847104 + 8460326264896 = 2381152^2 + 2908664^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14130211112000.

It is not an unprimeable number, because it can be changed into a prime (14130211112009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55689422 + ... + 55942578.

Almost surely, 214130211112000 is an apocalyptic number.

14130211112000 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 14130211112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17499310806744).

14130211112000 is an abundant number, since it is smaller than the sum of its proper divisors (20868410501488).

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

14130211112000 is an equidigital number, since it uses as much as digits as its factorization.

14130211112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260161 (or 260141 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 14130211112000 its reverse (21111203141), we get a palindrome (14151322315141).

The spelling of 14130211112000 in words is "fourteen trillion, one hundred thirty billion, two hundred eleven million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 6977 8000 13954 27908 34885 55816 69770 111632 139540 174425 223264 253157 279080 348850 446528 506314 558160 697700 872125 1012628 1116320 1265785 1395400 1744250 2025256 2232640 2531570 2790800 3488500 4050512 5063140 5581600 6328925 6977000 8101024 10126280 11163200 12657850 13954000 16202048 20252560 25315700 27908000 31644625 40505120 50631400 55816000 63289250 81010240 101262800 126578500 202525600 253157000 405051200 506314000 1012628000 1766276389 2025256000 3532552778 7065105556 8831381945 14130211112 17662763890 28260422224 35325527780 44156909725 56520844448 70651055560 88313819450 113041688896 141302111120 176627638900 220784548625 282604222240 353255277800 441569097250 565208444480 706510555600 883138194500 1413021111200 1766276389000 2826042222400 3532552778000 7065105556000 14130211112000