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32430011241341 = 723132114495093
BaseRepresentation
bin1110101111110101100110…
…10011001101001101111101
311020211021112020120000001002
413113322303103031031331
513222313130334210331
6152550050321300045
76554663624213600
oct727726323151575
9136737466500032
1032430011241341
11a37354399602a
1237791a1194625
1315131a1b1160c
14801899b32337
153b38a42999cb
hex1d7eb34cd37d

32430011241341 has 12 divisors (see below), whose sum is σ = 37845233192412. Its totient is φ = 27708343685568.

The previous prime is 32430011241337. The next prime is 32430011241371. The reversal of 32430011241341 is 14314211003423.

It can be written as a sum of positive squares in 2 ways, for example, as 1076126143225 + 31353885098116 = 1037365^2 + 5599454^2 .

It is not a de Polignac number, because 32430011241341 - 22 = 32430011241337 is a prime.

It is a super-2 number, since 2×324300112413412 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32430011241371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1057232210 + ... + 1057262883.

It is an arithmetic number, because the mean of its divisors is an integer number (3153769432701).

Almost surely, 232430011241341 is an apocalyptic number.

It is an amenable number.

32430011241341 is a deficient number, since it is larger than the sum of its proper divisors (5415221951071).

32430011241341 is a wasteful number, since it uses less digits than its factorization.

32430011241341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114495420 (or 2114495413 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 32430011241341 its reverse (14314211003423), we get a palindrome (46744222244764).

The spelling of 32430011241341 in words is "thirty-two trillion, four hundred thirty billion, eleven million, two hundred forty-one thousand, three hundred forty-one".

Divisors: 1 7 49 313 2191 15337 2114495093 14801465651 103610259557 661836964109 4632858748763 32430011241341