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134114561625 = 3531167485263
BaseRepresentation
bin111110011100111011…
…0011100111001011001
3110211011200012122002010
41330321312130321121
54144131311433000
6141340020300133
712455324651562
oct1747166347131
9424150178063
10134114561625
11519721a0190
1221baa841649
13c854467995
1466c3b21169
15374e1b7d50
hex1f39d9ce59

134114561625 has 64 divisors (see below), whose sum is σ = 247088664576. Its totient is φ = 64054584000.

The previous prime is 134114561507. The next prime is 134114561663. The reversal of 134114561625 is 526165411431.

It is not a de Polignac number, because 134114561625 - 217 = 134114430553 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 33744 + ... + 519006.

It is an arithmetic number, because the mean of its divisors is an integer number (3860760384).

Almost surely, 2134114561625 is an apocalyptic number.

134114561625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134114561625 is a deficient number, since it is larger than the sum of its proper divisors (112974102951).

134114561625 is a wasteful number, since it uses less digits than its factorization.

134114561625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485359 (or 485349 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The spelling of 134114561625 in words is "one hundred thirty-four billion, one hundred fourteen million, five hundred sixty-one thousand, six hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 67 75 125 165 201 275 335 375 737 825 1005 1375 1675 2211 3685 4125 5025 8375 11055 18425 25125 55275 92125 276375 485263 1455789 2426315 5337893 7278945 12131575 16013679 26689465 32512621 36394725 60657875 80068395 97537863 133447325 162563105 181973625 357638831 400341975 487689315 667236625 812815525 1072916493 1788194155 2001709875 2438446575 4064077625 5364582465 8940970775 12192232875 26822912325 44704853875 134114561625