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12461115412431 = 337136748231037
BaseRepresentation
bin1011010101010101010001…
…0110111000111111001111
31122010021022120002002202000
42311111110112320333033
53113130331021144211
642300320221403343
72424200025235350
oct265252426707717
948107276062660
1012461115412431
113a74802876114
12149306a409553
136c51028a405a
1431119a825d27
1516921ee49656
hexb55545b8fcf

12461115412431 has 32 divisors (see below), whose sum is σ = 21113619194880. Its totient is φ = 7115428279008.

The previous prime is 12461115412397. The next prime is 12461115412453. The reversal of 12461115412431 is 13421451116421.

12461115412431 is a `hidden beast` number, since 1 + 2 + 4 + 61 + 1 + 1 + 541 + 24 + 31 = 666.

It is not a de Polignac number, because 12461115412431 - 214 = 12461115396047 is a prime.

It is a super-2 number, since 2×124611154124312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12461115412481) 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, 23857156 + ... + 24373881.

It is an arithmetic number, because the mean of its divisors is an integer number (659800599840).

Almost surely, 212461115412431 is an apocalyptic number.

12461115412431 is a deficient number, since it is larger than the sum of its proper divisors (8652503782449).

12461115412431 is a wasteful number, since it uses less digits than its factorization.

12461115412431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48232420 (or 48232414 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

Adding to 12461115412431 its reverse (13421451116421), we get a palindrome (25882566528852).

The spelling of 12461115412431 in words is "twelve trillion, four hundred sixty-one billion, one hundred fifteen million, four hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 1367 4101 9569 12303 28707 36909 86121 258363 48231037 144693111 337617259 434079333 1012851777 1302237999 3038555331 9115665993 65931827579 197795482737 461522793053 593386448211 1384568379159 1780159344633 4153705137477 12461115412431