Search a number
-
+
134942203008 = 27327921372
BaseRepresentation
bin111110110101100101…
…1101001110010000000
3110220022100120011121200
41331223023221302000
54202330200444013
6141554103421200
712514664541324
oct1755313516200
9426270504550
10134942203008
11522573a0428
122219ba54800
13c956a78102
146761a03984
15379bb9ee73
hex1f6b2e9c80

134942203008 has 216 divisors, whose sum is σ = 396179452305. Its totient is φ = 44087187456.

The previous prime is 134942203001. The next prime is 134942203013. The reversal of 134942203008 is 800302249431.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

134942203008 is a `hidden beast` number, since 1 + 349 + 4 + 2 + 2 + 0 + 300 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 133903301184 + 1038901824 = 365928^2 + 32232^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=259752.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (134942203001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 984979516 + ... + 984979652.

Almost surely, 2134942203008 is an apocalyptic number.

134942203008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134942203008

134942203008 is an abundant number, since it is smaller than the sum of its proper divisors (261237249297).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134942203008 is an frugal number, since it uses more digits than its factorization.

134942203008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 134942203008 in words is "one hundred thirty-four billion, nine hundred forty-two million, two hundred three thousand, eight".