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420442312240 = 24517309148759
BaseRepresentation
bin1100001111001000101…
…00001000111000110000
31111012020100101102120101
412013210110020320300
523342031212442430
6521052025522144
742242644454656
oct6074424107060
91435210342511
10420442312240
111523437a7125
1269599343354
13308558506a2
14164c7104dd6
15ae0b3d4dca
hex61e4508e30

420442312240 has 40 divisors (see below), whose sum is σ = 1035030048480. Its totient is φ = 158284164096.

The previous prime is 420442312237. The next prime is 420442312253. The reversal of 420442312240 is 42213244024.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 420442312199 and 420442312208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154573020 + ... + 154575739.

It is an arithmetic number, because the mean of its divisors is an integer number (25875751212).

Almost surely, 2420442312240 is an apocalyptic number.

420442312240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420442312240 is an abundant number, since it is smaller than the sum of its proper divisors (614587736240).

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

420442312240 is a wasteful number, since it uses less digits than its factorization.

420442312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309148789 (or 309148783 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 420442312240 its reverse (42213244024), we get a palindrome (462655556264).

The spelling of 420442312240 in words is "four hundred twenty billion, four hundred forty-two million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 309148759 618297518 1236595036 1545743795 2473190072 3091487590 4946380144 5255528903 6182975180 10511057806 12365950360 21022115612 24731900720 26277644515 42044231224 52555289030 84088462448 105110578060 210221156120 420442312240