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420142042321 = 3748661233353
BaseRepresentation
bin1100001110100100110…
…10101100110011010001
31111011110102101010200021
412013102122230303101
523340422330323241
6521002142023441
742232340302321
oct6072232546321
91434412333607
10420142042321
111521aa258971
1269514877b81
1330808589a91
14164992a1281
15added710d1
hex61d26accd1

420142042321 has 8 divisors (see below), whose sum is σ = 431507949224. Its totient is φ = 408776699520.

The previous prime is 420142042303. The next prime is 420142042351. The reversal of 420142042321 is 123240241024.

It can be written as a sum of positive squares in 4 ways, for example, as 254929059025 + 165212983296 = 504905^2 + 406464^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 420142042321 - 211 = 420142040273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420142042351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1683781 + ... + 1917133.

It is an arithmetic number, because the mean of its divisors is an integer number (53938493653).

Almost surely, 2420142042321 is an apocalyptic number.

It is an amenable number.

420142042321 is a deficient number, since it is larger than the sum of its proper divisors (11365906903).

420142042321 is a wasteful number, since it uses less digits than its factorization.

420142042321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282051.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 420142042321 its reverse (123240241024), we get a palindrome (543382283345).

The spelling of 420142042321 in words is "four hundred twenty billion, one hundred forty-two million, forty-two thousand, three hundred twenty-one".

Divisors: 1 37 48661 233353 1800457 8634061 11355190333 420142042321