Search a number
-
+
134218714560 = 26357217316493
BaseRepresentation
bin111110100000000001…
…1110000110111000000
3110211102221012011001020
41331000003300313000
54144334442331220
6141354220505440
712461031151500
oct1750003606700
9424387164036
10134218714560
1151a15a68897
12220196ab280
13c86cc03838
1466d38b3a00
1537583dd040
hex1f400f0dc0

134218714560 has 336 divisors, whose sum is σ = 498614675616. Its totient is φ = 30499381248.

The previous prime is 134218714537. The next prime is 134218714577. The reversal of 134218714560 is 65417812431.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8129674 + ... + 8146166.

Almost surely, 2134218714560 is an apocalyptic number.

134218714560 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 134218714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249307337808).

134218714560 is an abundant number, since it is smaller than the sum of its proper divisors (364395961056).

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

134218714560 is a wasteful number, since it uses less digits than its factorization.

134218714560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16700 (or 16683 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 134218714560 in words is "one hundred thirty-four billion, two hundred eighteen million, seven hundred fourteen thousand, five hundred sixty".