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134144050248 = 233213534995419
BaseRepresentation
bin111110011101110011…
…0111100010001001000
3110211020201200210212100
41330323212330101020
54144211334101443
6141342552313400
712456133420335
oct1747346742110
9424221623770
10134144050248
115198790144a
1221bb86a2860
13c85a5c0c80
1466c79d998c
153751a903d3
hex1f3b9bc448

134144050248 has 192 divisors, whose sum is σ = 399508200000. Its totient is φ = 40407704064.

The previous prime is 134144050231. The next prime is 134144050283. The reversal of 134144050248 is 842050441431.

134144050248 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 4 + 405 + 0 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 24751683 + ... + 24757101.

It is an arithmetic number, because the mean of its divisors is an integer number (2080771875).

Almost surely, 2134144050248 is an apocalyptic number.

134144050248 is a gapful number since it is divisible by the number (18) 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 134144050248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199754100000).

134144050248 is an abundant number, since it is smaller than the sum of its proper divisors (265364149752).

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

134144050248 is a wasteful number, since it uses less digits than its factorization.

134144050248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5996 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 134144050248 its reverse (842050441431), we get a palindrome (976194491679).

The spelling of 134144050248 in words is "one hundred thirty-four billion, one hundred forty-four million, fifty thousand, two hundred forty-eight".