Search a number
-
+
134331606624303 = 33112373811753
BaseRepresentation
bin11110100010110010000011…
…101100011110100000101111
3122121121222100122001220001000
4132202302003230132200233
5120101342112243434203
61153411031012451343
740203065303416044
oct3642620354364057
9577558318056030
10134331606624303
1139890794a15800
1213096447319b53
1359c555438957a
1425259821c51cb
15107e4178e84a3
hex7a2c83b1e82f

134331606624303 has 96 divisors (see below), whose sum is σ = 224822738436800. Its totient is φ = 79212643424640.

The previous prime is 134331606624239. The next prime is 134331606624317. The reversal of 134331606624303 is 303426606133431.

134331606624303 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 3 + 1 + 606 + 6 + 2 + 4 + 30 + 3 = 666.

It is not a de Polignac number, because 134331606624303 - 26 = 134331606624239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134331606624373) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165077475 + ... + 165889227.

Almost surely, 2134331606624303 is an apocalyptic number.

134331606624303 is a deficient number, since it is larger than the sum of its proper divisors (90491131812497).

134331606624303 is an frugal number, since it uses more digits than its factorization.

134331606624303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811895 (or 811804 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 45.

The spelling of 134331606624303 in words is "one hundred thirty-four trillion, three hundred thirty-one billion, six hundred six million, six hundred twenty-four thousand, three hundred three".

Divisors: 1 3 9 11 27 33 37 99 111 121 297 333 363 407 999 1089 1221 1369 3267 3663 4107 4477 10989 12321 13431 15059 36963 40293 45177 50653 120879 135531 151959 165649 406593 455877 496947 557183 811753 1367631 1490841 1671549 2435259 4472523 5014647 6129013 7305777 8929283 15043941 18387039 21917331 26787849 30034861 55161117 80363547 90104583 98222113 165483351 241090641 270313749 294666339 330383471 810941247 883999017 991150413 1111289857 2651997051 2973451239 3333869571 3634218181 8920353717 10001608713 10902654543 12224188427 30004826139 32707963629 36672565281 41117724709 98123890887 110017695843 123353174127 134466072697 330053087529 370059522381 403398218091 452294971799 1110178567143 1210194654273 1356884915397 3630583962819 4070654746191 4975244689789 12211964238573 14925734069367 44777202208101 134331606624303