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14113432000 = 26533156909
BaseRepresentation
bin11010010010011100…
…11110000111000000
31100102120220122000201
431021032132013000
5212401014311000
610252243454544
71006513123033
oct151116360700
940376818021
1014113432000
115a92734398
12289a687454
13143bc763c5
1497c5a301a
1557908c96a
hex34939e1c0

14113432000 has 112 divisors (see below), whose sum is σ = 36080029440. Its totient is φ = 5463168000.

The previous prime is 14113431973. The next prime is 14113432019. The reversal of 14113432000 is 23431141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219546 + ... + 276454.

It is an arithmetic number, because the mean of its divisors is an integer number (322143120).

Almost surely, 214113432000 is an apocalyptic number.

14113432000 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 14113432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18040014720).

14113432000 is an abundant number, since it is smaller than the sum of its proper divisors (21966597440).

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

14113432000 is an equidigital number, since it uses as much as digits as its factorization.

14113432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56967 (or 56947 counting only the distinct ones).

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

Adding to 14113432000 its reverse (23431141), we get a palindrome (14136863141).

The spelling of 14113432000 in words is "fourteen billion, one hundred thirteen million, four hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 155 160 200 248 250 310 320 400 496 500 620 775 800 992 1000 1240 1550 1600 1984 2000 2480 3100 3875 4000 4960 6200 7750 8000 9920 12400 15500 24800 31000 49600 56909 62000 113818 124000 227636 248000 284545 455272 569090 910544 1138180 1422725 1764179 1821088 2276360 2845450 3528358 3642176 4552720 5690900 7056716 7113625 8820895 9105440 11381800 14113432 14227250 17641790 18210880 22763600 28226864 28454500 35283580 44104475 45527200 56453728 56909000 70567160 88208950 91054400 112907456 113818000 141134320 176417900 220522375 227636000 282268640 352835800 441044750 455272000 564537280 705671600 882089500 1411343200 1764179000 2822686400 3528358000 7056716000 14113432000