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12431433413421 = 3211787235167867
BaseRepresentation
bin1011010011100110101100…
…1011000011001100101101
31122000102200222011022201100
42310321223023003030231
53112134033423212141
642234531025233313
72422066336351161
oct264715313031455
948012628138640
1012431433413421
113a63161090a20
121489365a92839
136c2382370329
1430d982718ca1
151685841d80b6
hexb4e6b2c332d

12431433413421 has 48 divisors (see below), whose sum is σ = 19622447889408. Its totient is φ = 7521317316000.

The previous prime is 12431433413407. The next prime is 12431433413437.

12431433413421 is a `hidden beast` number, since 1 + 2 + 4 + 314 + 334 + 1 + 3 + 4 + 2 + 1 = 666.

12431433413421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12431433413421 - 217 = 12431433282349 is a prime.

It is a super-3 number, since 3×124314334134213 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12431433413401) 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 47 ways as a sum of consecutive naturals, for example, 183139530 + ... + 183207396.

It is an arithmetic number, because the mean of its divisors is an integer number (408800997696).

Almost surely, 212431433413421 is an apocalyptic number.

12431433413421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12431433413421 is a deficient number, since it is larger than the sum of its proper divisors (7191014475987).

12431433413421 is a wasteful number, since it uses less digits than its factorization.

12431433413421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71022 (or 71019 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 1243143 and 3413421, that added together give a palindrome (4656564).

The spelling of 12431433413421 in words is "twelve trillion, four hundred thirty-one billion, four hundred thirty-three million, four hundred thirteen thousand, four hundred twenty-one".

Divisors: 1 3 9 11 33 99 787 2351 2361 7053 7083 8657 21159 25861 25971 67867 77583 77913 203601 232749 610803 746537 1850237 2239611 5550711 6718833 16652133 20352607 53411329 61057821 159555317 160233987 183173463 478665951 480701961 587524619 1435997853 1755108487 1762573857 5265325461 5287721571 15795976383 125570034479 376710103437 1130130310311 1381270379269 4143811137807 12431433413421