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6141136532141 = 132891572600593
BaseRepresentation
bin101100101011101100001…
…0000101111001010101101
3210202002100100211020122102
41121113120100233022231
51301104021423012031
621021111004424445
71202453042146232
oct131273020571255
923662310736572
106141136532141
111a58494522a56
1283223a248125
13357150523a00
14173338349789
15a9b298597cb
hex595d842f2ad

6141136532141 has 24 divisors (see below), whose sum is σ = 6767421742440. Its totient is φ = 5569344608256.

The previous prime is 6141136532059. The next prime is 6141136532149. The reversal of 6141136532141 is 1412356311416.

It can be written as a sum of positive squares in 12 ways, for example, as 5222550384100 + 918586148041 = 2285290^2 + 958429^2 .

It is a de Polignac number, because none of the positive numbers 2k-6141136532141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6141136532095 and 6141136532104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6141136532149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1061141 + ... + 3661733.

It is an arithmetic number, because the mean of its divisors is an integer number (281975905935).

Almost surely, 26141136532141 is an apocalyptic number.

It is an amenable number.

6141136532141 is a deficient number, since it is larger than the sum of its proper divisors (626285210299).

6141136532141 is a wasteful number, since it uses less digits than its factorization.

6141136532141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600865 (or 2600852 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The spelling of 6141136532141 in words is "six trillion, one hundred forty-one billion, one hundred thirty-six million, five hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 13 89 157 169 1157 2041 13973 15041 26533 181649 2361437 2600593 33807709 231452777 408293101 439500217 3008886101 5307810313 36338085989 39115519313 69001534069 472395117857 6141136532141