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431987423453 = 17374219371741
BaseRepresentation
bin1100100100101000111…
…01001111100011011101
31112022000221112211210222
412102110131033203131
524034202240022303
6530241405411125
743132023341225
oct6222435174335
91468027484728
10431987423453
11157228703053
126b87b869aa5
1331975696241
1416ca0551085
15b384c4d938
hex649474f8dd

431987423453 has 32 divisors (see below), whose sum is σ = 471649677408. Its totient is φ = 394000588800.

The previous prime is 431987423437. The next prime is 431987423473. The reversal of 431987423453 is 354324789134.

It can be written as a sum of positive squares in 16 ways, for example, as 316864290649 + 115123132804 = 562907^2 + 339298^2 .

It is a cyclic number.

It is not a de Polignac number, because 431987423453 - 24 = 431987423437 is a prime.

It is a super-2 number, since 2×4319874234532 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 431987423395 and 431987423404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431987423473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248125163 + ... + 248126903.

It is an arithmetic number, because the mean of its divisors is an integer number (14739052419).

Almost surely, 2431987423453 is an apocalyptic number.

It is an amenable number.

431987423453 is a deficient number, since it is larger than the sum of its proper divisors (39662253955).

431987423453 is a wasteful number, since it uses less digits than its factorization.

431987423453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153.

The product of its digits is 8709120, while the sum is 53.

The spelling of 431987423453 in words is "four hundred thirty-one billion, nine hundred eighty-seven million, four hundred twenty-three thousand, four hundred fifty-three".

Divisors: 1 17 37 421 629 937 1741 7157 15577 15929 29597 34669 64417 264809 394477 589373 732961 1095089 1631317 6706109 12460337 14595649 27119557 27732389 60358729 248126033 461032469 686784457 1026098393 11675335769 25411024909 431987423453