Search a number
-
+
134080660297152 = 26341131051217781
BaseRepresentation
bin11110011111001000010110…
…001000001101010111000000
3122120201222121202021122010000
4132133020112020031113000
5120033234143014002102
61153055445514040000
740146002520011022
oct3637102610152700
9576658552248100
10134080660297152
11397a431a2979a8
1213055891a19000
1359a79a12335aa
142517777c38012
151077b2b9a101c
hex79f21620d5c0

134080660297152 has 280 divisors, whose sum is σ = 401357760048432. Its totient is φ = 44255683584000.

The previous prime is 134080660297151. The next prime is 134080660297187. The reversal of 134080660297152 is 251792066080431.

It is a happy number.

134080660297152 is a `hidden beast` number, since 1 + 3 + 408 + 0 + 6 + 60 + 29 + 7 + 152 = 666.

It is a super-2 number, since 2×1340806602971522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134080660297151) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 615558502 + ... + 615776282.

It is a 1-persistent number, because it is pandigital, but 2⋅134080660297152 = 268161320594304 is not.

Almost surely, 2134080660297152 is an apocalyptic number.

134080660297152 is a gapful number since it is divisible by the number (12) 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 134080660297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200678880024216).

134080660297152 is an abundant number, since it is smaller than the sum of its proper divisors (267277099751280).

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

134080660297152 is a wasteful number, since it uses less digits than its factorization.

134080660297152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218969 (or 218950 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 134080660297152 in words is "one hundred thirty-four trillion, eighty billion, six hundred sixty million, two hundred ninety-seven thousand, one hundred fifty-two".