Search a number
-
+
134996136482304 = 2933157121751109
BaseRepresentation
bin11110101100011100111100…
…110000101101011000000000
3122200222111121212020101021000
4132230130330300231120000
5120143234041414413204
61155040211405532000
740302102052126626
oct3654347460553000
9580874555211230
10134996136482304
113a0175a377a759
12131831a4b74000
135a431090a2bb6
142549bc279b516
15109185ca04039
hex7ac73cc2d600

134996136482304 has 320 divisors, whose sum is σ = 402481461412800. Its totient is φ = 44674482438144.

The previous prime is 134996136482293. The next prime is 134996136482309. The reversal of 134996136482304 is 403284631699431.

It is a happy number.

134996136482304 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 9 + 613 + 6 + 4 + 8 + 2 + 3 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134996136482309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2641312302 + ... + 2641363410.

It is an arithmetic number, because the mean of its divisors is an integer number (1257754566915).

Almost surely, 2134996136482304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134996136482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201240730706400).

134996136482304 is an abundant number, since it is smaller than the sum of its proper divisors (267485324930496).

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

134996136482304 is a wasteful number, since it uses less digits than its factorization.

134996136482304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52510 (or 52488 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 134996136482304 in words is "one hundred thirty-four trillion, nine hundred ninety-six billion, one hundred thirty-six million, four hundred eighty-two thousand, three hundred four".