Search a number
-
+
134069316480 = 27335112371733
BaseRepresentation
bin111110011011100100…
…1110110101110000000
3110211001112001221102000
41330313021312232000
54144033221111410
6141331322424000
712454235246541
oct1746711665600
9424045057360
10134069316480
11519496a7900
1221b97662000
13c847c858c8
1466bbb044c8
15374a22bdc0
hex1f37276b80

134069316480 has 768 divisors, whose sum is σ = 536334523200. Its totient is φ = 31604981760.

The previous prime is 134069316449. The next prime is 134069316481. The reversal of 134069316480 is 84613960431.

134069316480 is a `hidden beast` number, since 1 + 3 + 406 + 9 + 3 + 164 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134069316481) 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, 77361694 + ... + 77363426.

Almost surely, 2134069316480 is an apocalyptic number.

134069316480 is a gapful number since it is divisible by the number (10) 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 134069316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268167261600).

134069316480 is an abundant number, since it is smaller than the sum of its proper divisors (402265206720).

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

134069316480 is a wasteful number, since it uses less digits than its factorization.

134069316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 134069316480 in words is "one hundred thirty-four billion, sixty-nine million, three hundred sixteen thousand, four hundred eighty".