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423441312004300 = 2252372512351193939
BaseRepresentation
bin110000001000111100001110…
…0111111000011100011001100
32001112021121001002101112021211
41200101320130333003203030
5421000130301333114200
64100330130412304204
7155122424311241512
oct14021703477034314
92045247032345254
10423441312004300
11112a154a7597017
123b5a991a772064
1315237462801175
14767c9514964b2
1533e4a30d9aaba
hex1811e1cfc38cc

423441312004300 has 144 divisors (see below), whose sum is σ = 947869567464960. Its totient is φ = 164071548000000.

The previous prime is 423441312004253. The next prime is 423441312004309. The reversal of 423441312004300 is 3400213144324.

It is not an unprimeable number, because it can be changed into a prime (423441312004309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2183276731 + ... + 2183470669.

It is an arithmetic number, because the mean of its divisors is an integer number (6582427551840).

Almost surely, 2423441312004300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423441312004300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473934783732480).

423441312004300 is an abundant number, since it is smaller than the sum of its proper divisors (524428255460660).

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

423441312004300 is a wasteful number, since it uses less digits than its factorization.

423441312004300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196592 (or 196585 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 423441312004300 its reverse (3400213144324), we get a palindrome (426841525148624).

The spelling of 423441312004300 in words is "four hundred twenty-three trillion, four hundred forty-one billion, three hundred twelve million, four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 251 370 502 740 925 1004 1255 1850 2351 2510 3700 4702 5020 6275 9287 9404 11755 12550 18574 23510 25100 37148 46435 47020 58775 86987 92870 117550 173974 185740 193939 232175 235100 347948 387878 434935 464350 590101 775756 869870 928700 969695 1180202 1739740 1939390 2174675 2360404 2950505 3878780 4349350 4848475 5901010 7175743 8698700 9696950 11802020 14351486 14752525 19393900 21833737 28702972 29505050 35878715 43667474 48678689 59010100 71757430 87334948 97357378 109168685 143514860 179393575 194714756 218337370 243393445 358787150 436674740 455950589 486786890 545843425 717574300 911901178 973573780 1091686850 1216967225 1801111493 1823802356 2183373700 2279752945 2433934450 3602222986 4559505890 4867868900 7204445972 9005557465 9119011780 11398764725 16870171793 18011114930 22797529450 33740343586 36022229860 45027787325 45595058900 67480687172 84350858965 90055574650 114443597839 168701717930 180111149300 228887195678 337403435860 421754294825 457774391356 572217989195 843508589650 1144435978390 1687017179300 2288871956780 2861089945975 4234413120043 5722179891950 8468826240086 11444359783900 16937652480172 21172065600215 42344131200430 84688262400860 105860328001075 211720656002150 423441312004300