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427231540431 = 32192831818753
BaseRepresentation
bin1100011011110001111…
…10111111010011001111
31111211202111111221210100
412031320332333103033
523444432233243211
6524133434342143
742603124114113
oct6157076772317
91454674457710
10427231540431
11155208080813
126a972b8a953
133139829a387
141696ca77743
15b1a7468156
hex6378fbf4cf

427231540431 has 72 divisors (see below), whose sum is σ = 662865695856. Its totient is φ = 265076375040.

The previous prime is 427231540427. The next prime is 427231540481. The reversal of 427231540431 is 134045132724.

427231540431 is a `hidden beast` number, since 4 + 2 + 72 + 3 + 1 + 540 + 43 + 1 = 666.

It is not a de Polignac number, because 427231540431 - 22 = 427231540427 is a prime.

It is a super-2 number, since 2×4272315404312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427231540481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48805351 + ... + 48814103.

It is an arithmetic number, because the mean of its divisors is an integer number (9206467998).

Almost surely, 2427231540431 is an apocalyptic number.

427231540431 is a deficient number, since it is larger than the sum of its proper divisors (235634155425).

427231540431 is a wasteful number, since it uses less digits than its factorization.

427231540431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9061 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 427231540431 in words is "four hundred twenty-seven billion, two hundred thirty-one million, five hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 9 19 57 83 171 181 249 361 543 747 1083 1577 1629 3249 3439 4731 8753 10317 14193 15023 26259 29963 30951 45069 65341 78777 89889 135207 166307 196023 269667 285437 498921 588069 726499 856311 1496763 1584293 2179497 2568933 3159833 4752879 5423303 6538491 9479499 13803481 14258637 16269909 28438497 30101567 41410443 48809727 90304701 124231329 131496319 262266139 270914103 394488957 571929773 786798417 1183466871 1715789319 2360395251 2498430061 5147367957 7495290183 22485870549 47470171159 142410513477 427231540431