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134400600104661 = 32111527678886617
BaseRepresentation
bin11110100011110010010100…
…000001101101111011010101
3122121212120102220110211112100
4132203302110001231323111
5120104004412111322121
61153502441110312313
740211060106342102
oct3643622401557325
9577776386424470
10134400600104661
1139907a79a40760
12130a78a1058699
1359cbbcb123367
142529049273aa9
15108110498b026
hex7a3c9406ded5

134400600104661 has 24 divisors (see below), whose sum is σ = 211784173945344. Its totient is φ = 81454366791360.

The previous prime is 134400600104599. The next prime is 134400600104669. The reversal of 134400600104661 is 166401006004431.

134400600104661 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 0 + 0 + 600 + 1 + 0 + 46 + 6 + 1 = 666.

It is not a de Polignac number, because 134400600104661 - 29 = 134400600104149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134400600104669) 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, 10680625 + ... + 19567241.

It is an arithmetic number, because the mean of its divisors is an integer number (8824340581056).

Almost surely, 2134400600104661 is an apocalyptic number.

134400600104661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

134400600104661 is a deficient number, since it is larger than the sum of its proper divisors (77383573840683).

134400600104661 is a wasteful number, since it uses less digits than its factorization.

134400600104661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9039401 (or 9039398 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 134400600104661 in words is "one hundred thirty-four trillion, four hundred billion, six hundred million, one hundred four thousand, six hundred sixty-one".

Divisors: 1 3 9 11 33 99 152767 458301 1374903 1680437 5041311 8886617 15123933 26659851 79979553 97752787 293258361 879775083 1357581819239 4072745457717 12218236373151 14933400011629 44800200034887 134400600104661