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134041455504 = 2435112714013
BaseRepresentation
bin111110011010101111…
…1100100101110010000
3110210222120122110100000
41330311133210232100
54144004103034004
6141324445330000
712453446400315
oct1746537445620
9423876573300
10134041455504
11519349a8500
1221b8a266900
13c84227c418
1466b8130d0c
153747a76c39
hex1f357e4b90

134041455504 has 360 divisors, whose sum is σ = 433735114176. Its totient is φ = 40036550400.

The previous prime is 134041455503. The next prime is 134041455539. The reversal of 134041455504 is 405554140431.

134041455504 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 4 + 145 + 5 + 504 = 666.

It is a super-2 number, since 2×1340414555042 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (134041455503) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33399802 + ... + 33403814.

Almost surely, 2134041455504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134041455504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216867557088).

134041455504 is an abundant number, since it is smaller than the sum of its proper divisors (299693658672).

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

134041455504 is a wasteful number, since it uses less digits than its factorization.

134041455504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 134041455504 its reverse (405554140431), we get a palindrome (539595595935).

The spelling of 134041455504 in words is "one hundred thirty-four billion, forty-one million, four hundred fifty-five thousand, five hundred four".