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41431305201032 = 235178913150129
BaseRepresentation
bin10010110101110011110100…
…01110101010010110001000
312102200210102220011210101102
421122321322032222112020
520412302303112413112
6224041140122040532
711504212236364325
oct1132717216522610
9172623386153342
1041431305201032
1112223a1074622a
1247917b8349148
131a16c55aa2b16
14a33400605b4c
154bcacb371bc2
hex25ae7a3aa588

41431305201032 has 8 divisors (see below), whose sum is σ = 77683697251950. Its totient is φ = 20715652600512.

The previous prime is 41431305201007. The next prime is 41431305201059. The reversal of 41431305201032 is 23010250313414.

41431305201032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 40575039981316 + 856265219716 = 6369854^2 + 925346^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×414313052010322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41431305200986 and 41431305201004.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 2589456575057 + ... + 2589456575072.

Almost surely, 241431305201032 is an apocalyptic number.

It is an amenable number.

41431305201032 is a deficient number, since it is larger than the sum of its proper divisors (36252392050918).

41431305201032 is a wasteful number, since it uses less digits than its factorization.

41431305201032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5178913150135 (or 5178913150131 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 41431305201032 its reverse (23010250313414), we get a palindrome (64441555514446).

The spelling of 41431305201032 in words is "forty-one trillion, four hundred thirty-one billion, three hundred five million, two hundred one thousand, thirty-two".

Divisors: 1 2 4 8 5178913150129 10357826300258 20715652600516 41431305201032