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134514242544 = 2431119234159241
BaseRepresentation
bin111110101000110101…
…1000111001111110000
3110212012112021112020010
41331101223013033300
54200441121230134
6141443415014520
712501250124223
oct1752153071760
9425175245203
10134514242544
11520578683a0
12220a066a440
13c8b91c6c76
146720c415ba
153774316ce9
hex1f51ac73f0

134514242544 has 640 divisors, whose sum is σ = 435572121600. Its totient is φ = 35278848000.

The previous prime is 134514242543. The next prime is 134514242573. The reversal of 134514242544 is 445242415431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134514242543) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 558150264 + ... + 558150504.

It is an arithmetic number, because the mean of its divisors is an integer number (680581440).

Almost surely, 2134514242544 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 134514242544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217786060800).

134514242544 is an abundant number, since it is smaller than the sum of its proper divisors (301057879056).

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

134514242544 is a wasteful number, since it uses less digits than its factorization.

134514242544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 399 counting only the distinct ones).

The product of its digits is 307200, while the sum is 39.

Adding to 134514242544 its reverse (445242415431), we get a palindrome (579756657975).

The spelling of 134514242544 in words is "one hundred thirty-four billion, five hundred fourteen million, two hundred forty-two thousand, five hundred forty-four".