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134123433202413 = 321729231971303117
BaseRepresentation
bin11110011111110000001011…
…100101111001001011101101
3122120220002000200001100112100
4132133300023211321023231
5120034434242344434123
61153131242105525313
740152045464501514
oct3637601345711355
9576802020040470
10134123433202413
11398104794a7786
121306202a4a3839
1359aba299175a5
1425198747b567b
151078cd1b1e643
hex79fc0b9792ed

134123433202413 has 48 divisors (see below), whose sum is σ = 212212714175280. Its totient is φ = 81250387642368.

The previous prime is 134123433202397. The next prime is 134123433202457. The reversal of 134123433202413 is 314202334321431.

134123433202413 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 2 + 3 + 4 + 33 + 202 + 413 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1481522283684 + 132641910918729 = 1217178^2 + 11517027^2 .

It is not a de Polignac number, because 134123433202413 - 24 = 134123433202397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134123433202463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102273531 + ... + 103576647.

It is an arithmetic number, because the mean of its divisors is an integer number (4421098211985).

Almost surely, 2134123433202413 is an apocalyptic number.

It is an amenable number.

134123433202413 is a deficient number, since it is larger than the sum of its proper divisors (78089280972867).

134123433202413 is a wasteful number, since it uses less digits than its factorization.

134123433202413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326366 (or 1326363 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 134123433202413 its reverse (314202334321431), we get a palindrome (448325767523844).

The spelling of 134123433202413 in words is "one hundred thirty-four trillion, one hundred twenty-three billion, four hundred thirty-three million, two hundred two thousand, four hundred thirteen".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 23197 69591 208773 394349 672713 1183047 1303117 2018139 3549141 3909351 6054417 11436121 11728053 22152989 34308363 37790393 66458967 102925089 113371179 199376901 340113537 642436681 1927310043 5781930129 30228405049 90685215147 272055645441 513882885833 876623746421 1541648657499 2629871239263 4624945972497 7889613717789 14902603689157 44707811067471 134123433202413