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135434442205045 = 523431511249145219
BaseRepresentation
bin11110110010110101001001…
…110100010110011101110101
3122202112101222010210002021201
4132302311021310112131311
5120222424214201030140
61200013420202412501
740345546506242614
oct3662651164263565
9582471863702251
10135434442205045
113a176473946555
1213234128801131
135a7554a76bc69
1425630c20d587b
15109ce622b149a
hex7b2d49d16775

135434442205045 has 64 divisors (see below), whose sum is σ = 174821644800000. Its totient is φ = 100475056281600.

The previous prime is 135434442205039. The next prime is 135434442205063. The reversal of 135434442205045 is 540502244434531.

It is not a de Polignac number, because 135434442205045 - 221 = 135434440107893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135434442204986 and 135434442205004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 932549446 + ... + 932694664.

It is an arithmetic number, because the mean of its divisors is an integer number (2731588200000).

Almost surely, 2135434442205045 is an apocalyptic number.

It is an amenable number.

135434442205045 is a deficient number, since it is larger than the sum of its proper divisors (39387202594955).

135434442205045 is a wasteful number, since it uses less digits than its factorization.

135434442205045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146690.

The product of its (nonzero) digits is 4608000, while the sum is 46.

Adding to 135434442205045 its reverse (540502244434531), we get a palindrome (675936686639576).

The spelling of 135434442205045 in words is "one hundred thirty-five trillion, four hundred thirty-four billion, four hundred forty-two million, two hundred five thousand, forty-five".

Divisors: 1 5 23 43 115 151 215 755 989 1249 3473 4945 6245 6493 17365 28727 32465 53707 143635 145219 149339 188599 268535 726095 746695 942995 1235261 3340037 4337777 6176305 6244417 8109757 16700185 21688885 21928069 31222085 40548785 109640345 143621591 181378531 186524411 504345587 718107955 906892655 932622055 942906967 2521727935 4171706213 4714534835 7799276833 20858531065 21686860241 27388158181 38996384165 108434301205 136940790905 179383367159 629927638163 896916835795 1177690801783 3149638190815 5888454008915 27086888441009 135434442205045