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134430312000429 = 3291731628333297
BaseRepresentation
bin11110100100001101111110…
…111111100110101110101101
3122121222102010120122112012100
4132210031332333212232231
5120110001234333003204
61153524233251325313
740213161310314654
oct3644157677465655
9577872116575170
10134430312000429
1139919636595815
12130b15b35b0839
135a019548c4083
14252a66732419b
151081c93155a39
hex7a437efe6bad

134430312000429 has 12 divisors (see below), whose sum is σ = 194198285786076. Its totient is φ = 89610437945472.

The previous prime is 134430312000409. The next prime is 134430312000433. The reversal of 134430312000429 is 924000213034431.

134430312000429 is a `hidden beast` number, since 1 + 3 + 443 + 0 + 3 + 1 + 200 + 0 + 4 + 2 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20485852776900 + 113944459223529 = 4526130^2 + 10674477^2 .

It is not a de Polignac number, because 134430312000429 - 225 = 134430278445997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 134430312000393 and 134430312000402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134430312000409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 814084092 + ... + 814249205.

It is an arithmetic number, because the mean of its divisors is an integer number (16183190482173).

Almost surely, 2134430312000429 is an apocalyptic number.

It is an amenable number.

134430312000429 is a deficient number, since it is larger than the sum of its proper divisors (59767973785647).

134430312000429 is a wasteful number, since it uses less digits than its factorization.

134430312000429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628342476 (or 1628342473 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 134430312000429 in words is "one hundred thirty-four trillion, four hundred thirty billion, three hundred twelve million, four hundred twenty-nine", and thus it is an aban number.

Divisors: 1 3 9 9173 27519 82557 1628333297 4884999891 14654999673 14936701333381 44810104000143 134430312000429