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431124131312541 = 38379279761987
BaseRepresentation
bin110001000000110101110100…
…0101100110111001110011101
32002112111001201222100100000000
41202001223220230313032131
5423002014210104000131
64124531405225324513
7156544455606665142
oct14201535054671635
92075431658310000
10431124131312541
11115407798819a47
124042a8b3336739
1315673aa6019614
14786673ad1a3c9
1534c97dc186ce6
hex1881ae8b3739d

431124131312541 has 72 divisors (see below), whose sum is σ = 648601819941920. Its totient is φ = 286550623350432.

The previous prime is 431124131312527. The next prime is 431124131312543. The reversal of 431124131312541 is 145213131421134.

431124131312541 is a `hidden beast` number, since 4 + 3 + 1 + 12 + 41 + 31 + 31 + 2 + 541 = 666.

It is not a de Polignac number, because 431124131312541 - 211 = 431124131310493 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 431124131312496 and 431124131312505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431124131312543) 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, 6955042350 + ... + 6955104336.

Almost surely, 2431124131312541 is an apocalyptic number.

It is an amenable number.

431124131312541 is a deficient number, since it is larger than the sum of its proper divisors (217477688629379).

431124131312541 is an frugal number, since it uses more digits than its factorization.

431124131312541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65187 (or 65166 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 431124131312541 its reverse (145213131421134), we get a palindrome (576337262733675).

The spelling of 431124131312541 in words is "four hundred thirty-one trillion, one hundred twenty-four billion, one hundred thirty-one million, three hundred twelve thousand, five hundred forty-one".

Divisors: 1 3 9 27 81 243 379 729 1137 2187 2797 3411 6561 8391 10233 25173 30699 61987 75519 92097 185961 226557 276291 557883 679671 828873 1060063 1673649 2039013 2486619 3180189 5020947 6117039 9540567 15062841 18351117 23493073 28621701 45188523 70479219 85865103 135565569 173377639 211437657 257595309 406696707 520132917 634312971 772785927 1560398751 1902938913 2318357781 4681196253 5708816739 6955073343 14043588759 17126450217 42130766277 51379350651 65710125181 126392298831 154138051953 197130375543 379176896493 591391126629 1137530689479 1774173379887 5322520139661 15967560418983 47902681256949 143708043770847 431124131312541