Search a number
-
+
133534353030345 = 3258933341910869
BaseRepresentation
bin11110010111001011100011…
…101011010111110011001001
3122111210202111122210000212200
4132113023203223113303021
5120000311323333432340
61152000500201230413
740061352515605521
oct3627134353276311
9574722448700780
10133534353030345
1139603668063573
1212b87a28792409
13596830a3c3c37
1424d91508d2681
1510688057a6330
hex7972e3ad7cc9

133534353030345 has 24 divisors (see below), whose sum is σ = 234060214307400. Its totient is φ = 70418115753216.

The previous prime is 133534353030317. The next prime is 133534353030347. The reversal of 133534353030345 is 543030353435331.

133534353030345 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 3 + 43 + 530 + 30 + 3 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4090328271936 + 129444024758409 = 2022456^2 + 11377347^2 .

It is not a de Polignac number, because 133534353030345 - 225 = 133534319475913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 133534353030345.

It is not an unprimeable number, because it can be changed into a prime (133534353030347) 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, 16670951430 + ... + 16670959439.

It is an arithmetic number, because the mean of its divisors is an integer number (9752508929475).

Almost surely, 2133534353030345 is an apocalyptic number.

133534353030345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133534353030345 is a deficient number, since it is larger than the sum of its proper divisors (100525861277055).

133534353030345 is a wasteful number, since it uses less digits than its factorization.

133534353030345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33341910969 (or 33341910966 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 45.

The spelling of 133534353030345 in words is "one hundred thirty-three trillion, five hundred thirty-four billion, three hundred fifty-three million, thirty thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 89 267 445 801 1335 4005 33341910869 100025732607 166709554345 300077197821 500128663035 1500385989105 2967430067341 8902290202023 14837150336705 26706870606069 44511451010115 133534353030345