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423341442210240 = 26325146993556323
BaseRepresentation
bin110000001000001101101110…
…0010010000001100111000000
32001111221001020222202100000100
41200100123130102001213000
5420442011233201211430
64100212212420122400
7155112260405062251
oct14020333422014700
92044831228670010
10423341442210240
11112987108703634
123b5924a8536400
131522ac07c7cb78
147677b9984ab28
1533e21382d0960
hex18106dc4819c0

423341442210240 has 84 divisors (see below), whose sum is σ = 1456118168945544. Its totient is φ = 112891051255296.

The previous prime is 423341442210233. The next prime is 423341442210257. The reversal of 423341442210240 is 42012244143324.

423341442210240 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 414 + 4 + 2 + 210 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 423341442210195 and 423341442210204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73496775282 + ... + 73496781041.

Almost surely, 2423341442210240 is an apocalyptic number.

423341442210240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423341442210240 is an abundant number, since it is smaller than the sum of its proper divisors (1032776726735304).

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

423341442210240 is a wasteful number, since it uses less digits than its factorization.

423341442210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146993556346 (or 146993556333 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 423341442210240 its reverse (42012244143324), we get a palindrome (465353686353564).

The spelling of 423341442210240 in words is "four hundred twenty-three trillion, three hundred forty-one billion, four hundred forty-two million, two hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 146993556323 293987112646 440980668969 587974225292 734967781615 881961337938 1175948450584 1322942006907 1469935563230 1763922675876 2204903344845 2351896901168 2645884013814 2939871126460 3527845351752 4409806689690 4703793802336 5291768027628 5879742252920 6614710034535 7055690703504 8819613379380 9407587604672 10583536055256 11759484505840 13229420069070 14111381407008 17639226758760 21167072110512 23518969011680 26458840138140 28222762814016 35278453517520 42334144221024 47037938023360 52917680276280 70556907035040 84668288442048 105835360552560 141113814070080 211670721105120 423341442210240