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431042133041 = 13291143347833
BaseRepresentation
bin1100100010111000001…
…11001111110000110001
31112012121001211010010222
412101130013033300301
524030233241224131
6530003520502425
743066424451422
oct6213407176061
91465531733128
10431042133041
11156893057403
126b65717aa15
13318548a2cc0
1416c10ba5649
15b32bc7787b
hex645c1cfc31

431042133041 has 8 divisors (see below), whose sum is σ = 480206090280. Its totient is φ = 384164871552.

The previous prime is 431042133031. The next prime is 431042133059. The reversal of 431042133041 is 140331240134.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3038324641 + 428003808400 = 55121^2 + 654220^2 .

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 431042133041 - 26 = 431042132977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 431042133041.

It is not an unprimeable number, because it can be changed into a prime (431042133031) 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, 571673540 + ... + 571674293.

It is an arithmetic number, because the mean of its divisors is an integer number (60025761285).

Almost surely, 2431042133041 is an apocalyptic number.

It is an amenable number.

431042133041 is a deficient number, since it is larger than the sum of its proper divisors (49163957239).

431042133041 is a wasteful number, since it uses less digits than its factorization.

431042133041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143347875.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 431042133041 its reverse (140331240134), we get a palindrome (571373373175).

The spelling of 431042133041 in words is "four hundred thirty-one billion, forty-two million, one hundred thirty-three thousand, forty-one".

Divisors: 1 13 29 377 1143347833 14863521829 33157087157 431042133041