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443413420000 = 255443515597
BaseRepresentation
bin1100111001111010111…
…11111101011111100000
31120101112020120121110021
412130331133331133200
524231102313420000
6535411252243224
744015124611425
oct6347537753740
91511466517407
10443413420000
11161061352401
1271b2a310514
1332a76934b45
1417665c31d4c
15b802dd911a
hex673d7fd7e0

443413420000 has 120 divisors (see below), whose sum is σ = 1116234609336. Its totient is φ = 173240256000.

The previous prime is 443413419997. The next prime is 443413420063. The reversal of 443413420000 is 24314344.

It is a super-2 number, since 2×4434134200002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 602202 + ... + 1117798.

Almost surely, 2443413420000 is an apocalyptic number.

443413420000 is a gapful number since it is divisible by the number (40) 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 443413420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558117304668).

443413420000 is an abundant number, since it is smaller than the sum of its proper divisors (672821189336).

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

443413420000 is an equidigital number, since it uses as much as digits as its factorization.

443413420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515670 (or 515647 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 443413420000 its reverse (24314344), we get a palindrome (443437734344).

The spelling of 443413420000 in words is "four hundred forty-three billion, four hundred thirteen million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 625 688 800 860 1000 1075 1250 1376 1720 2000 2150 2500 3440 4000 4300 5000 5375 6880 8600 10000 10750 17200 20000 21500 26875 34400 43000 53750 86000 107500 172000 215000 430000 515597 860000 1031194 2062388 2577985 4124776 5155970 8249552 10311940 12889925 16499104 20623880 22170671 25779850 41247760 44341342 51559700 64449625 82495520 88682684 103119400 110853355 128899250 177365368 206238800 221706710 257798500 322248125 354730736 412477600 443413420 515597000 554266775 644496250 709461472 886826840 1031194000 1108533550 1288992500 1773653680 2062388000 2217067100 2577985000 2771333875 3547307360 4434134200 5155970000 5542667750 8868268400 10311940000 11085335500 13856669375 17736536800 22170671000 27713338750 44341342000 55426677500 88682684000 110853355000 221706710000 443413420000