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141333063345 = 32519316273237
BaseRepresentation
bin1000001110100000011…
…0110110011010110001
3111111210202002111212200
42003220012312122301
54303422231011340
6144532202013413
713132236134235
oct2035006663261
9444722074780
10141333063345
1154a36914391
12234841a7269
1310434b05386
146baa6b85c5
153a22c93330
hex20e81b66b1

141333063345 has 24 divisors (see below), whose sum is σ = 246246637416. Its totient is φ = 74987071488.

The previous prime is 141333063329. The next prime is 141333063359. The reversal of 141333063345 is 543360333141.

141333063345 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 3 + 306 + 3 + 345 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42038121024 + 99294942321 = 205032^2 + 315111^2 .

It is not a de Polignac number, because 141333063345 - 24 = 141333063329 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8127934 + ... + 8145303.

It is an arithmetic number, because the mean of its divisors is an integer number (10260276559).

Almost surely, 2141333063345 is an apocalyptic number.

141333063345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141333063345 is a deficient number, since it is larger than the sum of its proper divisors (104913574071).

141333063345 is a wasteful number, since it uses less digits than its factorization.

141333063345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16273441 (or 16273438 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 141333063345 its reverse (543360333141), we get a palindrome (684693396486).

The spelling of 141333063345 in words is "one hundred forty-one billion, three hundred thirty-three million, sixty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 193 579 965 1737 2895 8685 16273237 48819711 81366185 146459133 244098555 732295665 3140734741 9422204223 15703673705 28266612669 47111021115 141333063345