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12431322431004 = 2237114590754027
BaseRepresentation
bin1011010011100110010010…
…0011101011111000011100
31122000102102020022211110110
42310321210203223320130
53112133322020243004
642234512022410020
72422063521125241
oct264714443537034
948012366284413
1012431322431004
113a63104479214
121489334890910
136c2365382a69
1430d971aa95c8
151685795b4589
hexb4e648ebe1c

12431322431004 has 24 divisors (see below), whose sum is σ = 29414960120448. Its totient is φ = 4085411127280.

The previous prime is 12431322430973. The next prime is 12431322431009. The reversal of 12431322431004 is 40013422313421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12431322431009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7295376162 + ... + 7295377865.

It is an arithmetic number, because the mean of its divisors is an integer number (1225623338352).

Almost surely, 212431322431004 is an apocalyptic number.

It is an amenable number.

12431322431004 is an abundant number, since it is smaller than the sum of its proper divisors (16983637689444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12431322431004 is a wasteful number, since it uses less digits than its factorization.

12431322431004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14590754105 (or 14590754103 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12431322431004 its reverse (40013422313421), we get a palindrome (52444744744425).

The spelling of 12431322431004 in words is "twelve trillion, four hundred thirty-one billion, three hundred twenty-two million, four hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 852 14590754027 29181508054 43772262081 58363016108 87544524162 175089048324 1035943535917 2071887071834 3107830607751 4143774143668 6215661215502 12431322431004