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4130948289141 = 332912741541701
BaseRepresentation
bin111100000111001111101…
…101001001001001110101
3112121220200220000000201000
4330013033231021021311
51020140140230223031
612441421554153513
7604310515046622
oct74071755111165
915556626000630
104130948289141
111352a1a685433
12568732282899
1323c7152a33ab
14103d20735349
15726c71d83e6
hex3c1cfb49275

4130948289141 has 32 divisors (see below), whose sum is σ = 6380805427200. Its totient is φ = 2638064116800.

The previous prime is 4130948289131. The next prime is 4130948289197. The reversal of 4130948289141 is 1419828490314.

4130948289141 is a `hidden beast` number, since 4 + 1 + 30 + 9 + 482 + 8 + 91 + 41 = 666.

It is not a de Polignac number, because 4130948289141 - 29 = 4130948288629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130948289121) by changing a digit.

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 in 31 ways as a sum of consecutive naturals, for example, 20671410 + ... + 20870291.

It is an arithmetic number, because the mean of its divisors is an integer number (199400169600).

Almost surely, 24130948289141 is an apocalyptic number.

It is an amenable number.

4130948289141 is a deficient number, since it is larger than the sum of its proper divisors (2249857138059).

4130948289141 is a wasteful number, since it uses less digits than its factorization.

4130948289141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41541866 (or 41541860 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 4130948289141 in words is "four trillion, one hundred thirty billion, nine hundred forty-eight million, two hundred eighty-nine thousand, one hundred forty-one".

Divisors: 1 3 9 27 29 87 127 261 381 783 1143 3429 3683 11049 33147 99441 41541701 124625103 373875309 1121625927 1204709329 3614127987 5275796027 10842383961 15827388081 32527151883 47482164243 142446492729 152998084783 458994254349 1376982763047 4130948289141