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144366714104067 = 32713631279353303
BaseRepresentation
bin100000110100110011111110…
…101101100010100100000011
3200221011022201112012220022200
4200310303332231202210003
5122410301012302312232
61231013053005004243
742260102520533640
oct4064637655424403
9627138645186280
10144366714104067
1141aaa64152aa04
12142372a0553683
136272951a9a950
142791559bdadc7
1511a5499a4c77c
hex834cfeb62903

144366714104067 has 48 divisors (see below), whose sum is σ = 257058675514368. Its totient is φ = 76028794672320.

The previous prime is 144366714104029. The next prime is 144366714104149. The reversal of 144366714104067 is 760401417663441.

144366714104067 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 66 + 71 + 410 + 40 + 67 = 666.

It is not a de Polignac number, because 144366714104067 - 28 = 144366714103811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144366714109067) 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 47 ways as a sum of consecutive naturals, for example, 139159863 + ... + 140193440.

It is an arithmetic number, because the mean of its divisors is an integer number (5355389073216).

Almost surely, 2144366714104067 is an apocalyptic number.

144366714104067 is a deficient number, since it is larger than the sum of its proper divisors (112691961410301).

144366714104067 is a wasteful number, since it uses less digits than its factorization.

144366714104067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279353960 (or 279353957 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 144366714104067 in words is "one hundred forty-four trillion, three hundred sixty-six billion, seven hundred fourteen million, one hundred four thousand, sixty-seven".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 631 819 1893 4417 5679 8203 13251 24609 39753 57421 73827 172263 516789 279353303 838059909 1955473121 2514179727 3631592939 5866419363 10894778817 17599258089 25421150573 32684336451 76263451719 176271934193 228790355157 528815802579 1233903539351 1586447407737 2291535144509 3701710618053 6874605433527 11105131854159 16040746011563 20623816300581 48122238034689 144366714104067