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420284475040 = 2552626777969
BaseRepresentation
bin1100001110110101110…
…10000010011010100000
31111011211100101110122011
412013122322002122200
523341220311200130
6521024230522304
742236020044133
oct6073272023240
91434740343564
10420284475040
111522726a1761
1269554506394
133082bc394b1
14164b017a21a
15adec60852a
hex61dae826a0

420284475040 has 24 divisors (see below), whose sum is σ = 992922072660. Its totient is φ = 168113789952.

The previous prime is 420284475029. The next prime is 420284475049. The reversal of 420284475040 is 40574482024.

It can be written as a sum of positive squares in 2 ways, for example, as 412405427344 + 7879047696 = 642188^2 + 88764^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 420284474984 and 420284475002.

It is not an unprimeable number, because it can be changed into a prime (420284475049) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1313388825 + ... + 1313389144.

Almost surely, 2420284475040 is an apocalyptic number.

420284475040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420284475040 is an abundant number, since it is smaller than the sum of its proper divisors (572637597620).

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

420284475040 is a wasteful number, since it uses less digits than its factorization.

420284475040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626777984 (or 2626777976 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 40.

The spelling of 420284475040 in words is "four hundred twenty billion, two hundred eighty-four million, four hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2626777969 5253555938 10507111876 13133889845 21014223752 26267779690 42028447504 52535559380 84056895008 105071118760 210142237520 420284475040