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133442433252345 = 35723145138081093
BaseRepresentation
bin11110010101110101111100…
…110101001111101111111001
3122111110222020121111111102110
4132111311330311033233321
5114442310100403033340
61151450335121322533
740051616615436540
oct3625657465175771
9574428217444373
10133442433252345
1139578688808898
1212b72054a96449
13595c74b934a59
1424d4910a5d157
151066225b11680
hex795d7cd4fbf9

133442433252345 has 64 divisors (see below), whose sum is σ = 254793593032704. Its totient is φ = 58309768070400.

The previous prime is 133442433252311. The next prime is 133442433252419. The reversal of 133442433252345 is 543252334244331.

It is not a de Polignac number, because 133442433252345 - 211 = 133442433250297 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133442433252294 and 133442433252303.

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, 15536382 + ... + 22544711.

It is an arithmetic number, because the mean of its divisors is an integer number (3981149891136).

Almost surely, 2133442433252345 is an apocalyptic number.

133442433252345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133442433252345 is a deficient number, since it is larger than the sum of its proper divisors (121351159780359).

133442433252345 is a wasteful number, since it uses less digits than its factorization.

133442433252345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38082582.

The product of its digits is 12441600, while the sum is 48.

Adding to 133442433252345 its reverse (543252334244331), we get a palindrome (676694767496676).

The spelling of 133442433252345 in words is "one hundred thirty-three trillion, four hundred forty-two billion, four hundred thirty-three million, two hundred fifty-two thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 23 35 69 105 115 161 345 483 805 1451 2415 4353 7255 10157 21765 30471 33373 50785 100119 152355 166865 233611 500595 700833 1168055 3504165 38081093 114243279 190405465 266567651 571216395 799702953 875865139 1332838255 2627595417 3998514765 4379325695 6131055973 13137977085 18393167919 30655279865 55255665943 91965839595 165766997829 276278329715 386789661601 828834989145 1160368984803 1270880316689 1933948308005 3812640950067 5801844924015 6354401583445 8896162216823 19063204750335 26688486650469 44480811084115 133442433252345