Search a number
-
+
134233266336 = 253131811933079
BaseRepresentation
bin111110100000011101…
…1010001100010100000
3110211110221120110022220
41331000323101202200
54144402204010321
6141355500431040
712461265636501
oct1750073214240
9424427513286
10134233266336
1151a231a7854
1222022548480
13c872c2a160
1466d57c0ba8
1537598149c6
hex1f40ed18a0

134233266336 has 192 divisors, whose sum is σ = 383665201920. Its totient is φ = 40848261120.

The previous prime is 134233266317. The next prime is 134233266371. The reversal of 134233266336 is 633662332431.

It is a super-3 number, since 3×1342332663363 (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43594845 + ... + 43597923.

It is an arithmetic number, because the mean of its divisors is an integer number (1998256260).

Almost surely, 2134233266336 is an apocalyptic number.

134233266336 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 134233266336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191832600960).

134233266336 is an abundant number, since it is smaller than the sum of its proper divisors (249431935584).

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

134233266336 is a wasteful number, since it uses less digits than its factorization.

134233266336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3471 counting only the distinct ones).

The product of its digits is 839808, while the sum is 42.

Adding to 134233266336 its reverse (633662332431), we get a palindrome (767895598767).

The spelling of 134233266336 in words is "one hundred thirty-four billion, two hundred thirty-three million, two hundred sixty-six thousand, three hundred thirty-six".