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420324140041 = 1323767219597
BaseRepresentation
bin1100001110111010100…
…01010110010000001001
31111011221010000122210021
412013131101112100021
523341310434440131
6521032205020441
742240011145421
oct6073521262011
91434833018707
10420324140041
11152293023653
1269565854721
1330837216700
14164b5543481
15ae00d40e11
hex61dd456409

420324140041 has 12 divisors (see below), whose sum is σ = 467445084492. Its totient is φ = 377505251136.

The previous prime is 420324139999. The next prime is 420324140113. The reversal of 420324140041 is 140041423024.

It can be written as a sum of positive squares in 6 ways, for example, as 103445213641 + 316878926400 = 321629^2 + 562920^2 .

It is not a de Polignac number, because 420324140041 - 211 = 420324137993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420324139988 and 420324140015.

It is not an unprimeable number, because it can be changed into a prime (420324140741) 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 11 ways as a sum of consecutive naturals, for example, 33603546 + ... + 33616051.

It is an arithmetic number, because the mean of its divisors is an integer number (38953757041).

Almost surely, 2420324140041 is an apocalyptic number.

It is an amenable number.

420324140041 is a deficient number, since it is larger than the sum of its proper divisors (47120944451).

420324140041 is a wasteful number, since it uses less digits than its factorization.

420324140041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67219660 (or 67219647 counting only the distinct ones).

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

Adding to 420324140041 its reverse (140041423024), we get a palindrome (560365563065).

The spelling of 420324140041 in words is "four hundred twenty billion, three hundred twenty-four million, one hundred forty thousand, forty-one".

Divisors: 1 13 37 169 481 6253 67219597 873854761 2487125089 11360111893 32332626157 420324140041