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14020310213300 = 22521492933211469
BaseRepresentation
bin1100110000000101101110…
…0111000010001010110100
31211122022212112011200122202
43030001123213002022310
53314202043403311200
645452501441244032
72644635233332316
oct314013347021264
954568775150582
1014020310213300
114515a86674536
1216a5291633618
137a9156994341
1436682da257b6
15194a78ee41d5
hexcc05b9c22b4

14020310213300 has 72 divisors (see below), whose sum is σ = 30732804459000. Its totient is φ = 5551472043520.

The previous prime is 14020310213297. The next prime is 14020310213347. The reversal of 14020310213300 is 331201302041.

It can be written as a sum of positive squares in 12 ways, for example, as 3693676547236 + 10326633666064 = 1921894^2 + 3213508^2 .

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2759966 + ... + 5971434.

It is an arithmetic number, because the mean of its divisors is an integer number (426844506375).

Almost surely, 214020310213300 is an apocalyptic number.

14020310213300 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 14020310213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15366402229500).

14020310213300 is an abundant number, since it is smaller than the sum of its proper divisors (16712494245700).

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

14020310213300 is a wasteful number, since it uses less digits than its factorization.

14020310213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211925 (or 3211918 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 14020310213300 its reverse (331201302041), we get a palindrome (14351511515341).

The spelling of 14020310213300 in words is "fourteen trillion, twenty billion, three hundred ten million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 293 298 586 596 745 1172 1465 1490 2930 2980 3725 5860 7325 7450 14650 14900 29300 43657 87314 174628 218285 436570 873140 1091425 2182850 3211469 4365700 6422938 12845876 16057345 32114690 64229380 80286725 160573450 321146900 478508881 940960417 957017762 1881920834 1914035524 2392544405 3763841668 4704802085 4785088810 9409604170 9570177620 11962722025 18819208340 23524010425 23925444050 47048020850 47850888100 94096041700 140203102133 280406204266 560812408532 701015510665 1402031021330 2804062042660 3505077553325 7010155106650 14020310213300