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431000134441 = 4141948751517
BaseRepresentation
bin1100100010110011001…
…11000010001100101001
31112012111010210100220021
412101121213002030221
524030142013300231
6525555420400441
743065404460502
oct6213147021451
91465433710807
10431000134441
11156871381218
126b6450a6121
1331848c89866
1416c09391ba9
15b32822d811
hex64599c2329

431000134441 has 16 divisors (see below), whose sum is σ = 443483429760. Its totient is φ = 418614894720.

The previous prime is 431000134421. The next prime is 431000134451. The reversal of 431000134441 is 144431000134.

It is a cyclic number.

It is not a de Polignac number, because 431000134441 - 215 = 431000101673 is a prime.

It is a super-2 number, since 2×4310001344412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (431000134421) 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 15 ways as a sum of consecutive naturals, for example, 8340415 + ... + 8391931.

It is an arithmetic number, because the mean of its divisors is an integer number (27717714360).

Almost surely, 2431000134441 is an apocalyptic number.

431000134441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

431000134441 is a deficient number, since it is larger than the sum of its proper divisors (12483295319).

431000134441 is a wasteful number, since it uses less digits than its factorization.

431000134441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52464.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 431000134441 its reverse (144431000134), we get a palindrome (575431134575).

The spelling of 431000134441 in words is "four hundred thirty-one billion, one hundred thirty-four thousand, four hundred forty-one".

Divisors: 1 41 419 487 17179 19967 51517 204053 2112197 8366173 21585623 25088779 885010543 1028639939 10512198401 431000134441