Search a number
-
+
134025130496 = 292911178081
BaseRepresentation
bin111110011010010000…
…1010011001000000000
3110210221102221001122002
41330310201103020000
54143440413133441
6141323103403132
712453160545455
oct1746441231000
9423842831562
10134025130496
1151926768264
1221b848b34a8
13c83ba8495a
1466b5cc182c
1537463eeb9b
hex1f34853200

134025130496 has 80 divisors (see below), whose sum is σ = 277304896440. Its totient is φ = 64635863040.

The previous prime is 134025130493. The next prime is 134025130511. The reversal of 134025130496 is 694031520431.

It can be written as a sum of positive squares in 4 ways, for example, as 72004208896 + 62020921600 = 268336^2 + 249040^2 .

It is not an unprimeable number, because it can be changed into a prime (134025130493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16581176 + ... + 16589256.

Almost surely, 2134025130496 is an apocalyptic number.

134025130496 is a gapful number since it is divisible by the number (16) 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 134025130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138652448220).

134025130496 is an abundant number, since it is smaller than the sum of its proper divisors (143279765944).

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

134025130496 is an equidigital number, since it uses as much as digits as its factorization.

134025130496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9245 (or 9229 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 134025130496 in words is "one hundred thirty-four billion, twenty-five million, one hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1117 1856 2234 3712 4468 7424 8081 8936 14848 16162 17872 32324 32393 35744 64648 64786 71488 129296 129572 142976 234349 258592 259144 285952 468698 517184 518288 571904 937396 1034368 1036576 1874792 2068736 2073152 3749584 4137472 4146304 7499168 8292608 9026477 14998336 16585216 18052954 29996672 36105908 59993344 72211816 119986688 144423632 261767833 288847264 523535666 577694528 1047071332 1155389056 2094142664 2310778112 4188285328 4621556224 8376570656 16753141312 33506282624 67012565248 134025130496