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141334403103 = 32295322345817
BaseRepresentation
bin1000001110100000101…
…1111101100000011111
3111111210211121120200100
42003220023331200133
54303423101344403
6144532250432143
713132253414235
oct2035013754037
9444724546610
10141334403103
1154a37649a23
1223484732653
131043518412a
146baa946955
153a22e5a2a3
hex20e82fd81f

141334403103 has 48 divisors (see below), whose sum is σ = 216143665920. Its totient is φ = 88855183872.

The previous prime is 141334403059. The next prime is 141334403131. The reversal of 141334403103 is 301304433141.

141334403103 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 344 + 0 + 310 + 3 = 666.

141334403103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141334403103 - 221 = 141332305951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141334403153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3061851 + ... + 3107667.

It is an arithmetic number, because the mean of its divisors is an integer number (4502993040).

Almost surely, 2141334403103 is an apocalyptic number.

141334403103 is a deficient number, since it is larger than the sum of its proper divisors (74809262817).

141334403103 is a wasteful number, since it uses less digits than its factorization.

141334403103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46128 (or 46125 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 141334403103 its reverse (301304433141), we get a palindrome (442638836244).

The spelling of 141334403103 in words is "one hundred forty-one billion, three hundred thirty-four million, four hundred three thousand, one hundred three".

Divisors: 1 3 9 29 53 87 159 223 261 477 669 1537 2007 4611 6467 11819 13833 19401 35457 45817 58203 106371 137451 342751 412353 1028253 1328693 2428301 3084759 3986079 7284903 10217191 11958237 21854709 30651573 70420729 91954719 211262187 296298539 541511123 633786561 888895617 1624533369 2666686851 4873600107 15703822567 47111467701 141334403103