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421440121431 = 32712753939767
BaseRepresentation
bin1100010000111111100…
…10011110101001010111
31111021210212221101110100
412020133302132221113
523401102132341211
6521335032225143
742306451632450
oct6103762365127
91437725841410
10421440121431
11152805a63a1a
126981753b1b3
13309844a1624
141657d842127
15ae68cd2156
hex621fc9ea57

421440121431 has 48 divisors (see below), whose sum is σ = 701390536704. Its totient is φ = 238857921792.

The previous prime is 421440121423. The next prime is 421440121433. The reversal of 421440121431 is 134121044124.

421440121431 is a `hidden beast` number, since 4 + 2 + 1 + 440 + 1 + 214 + 3 + 1 = 666.

It is not a de Polignac number, because 421440121431 - 23 = 421440121423 is a prime.

It is a super-2 number, since 2×4214401214312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 421440121395 and 421440121404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421440121433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43144510 + ... + 43154276.

It is an arithmetic number, because the mean of its divisors is an integer number (14612302848).

Almost surely, 2421440121431 is an apocalyptic number.

421440121431 is a deficient number, since it is larger than the sum of its proper divisors (279950415273).

421440121431 is a wasteful number, since it uses less digits than its factorization.

421440121431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15300 (or 15297 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 421440121431 its reverse (134121044124), we get a palindrome (555561165555).

The spelling of 421440121431 in words is "four hundred twenty-one billion, four hundred forty million, one hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 127 381 889 1143 2667 5393 8001 9767 16179 29301 37751 48537 68369 87903 113253 205107 339759 615321 684911 1240409 2054733 3721227 4794377 6164199 8682863 11163681 14383131 26048589 43149393 52673431 78145767 158020293 368714017 474060879 1106142051 3318426153 6689525737 20068577211 46826680159 60205731633 140480040477 421440121431