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144457104456 = 233372329143239
BaseRepresentation
bin1000011010001001010…
…0000111110001001000
3111210212110112020122000
42012202110013301020
54331322004320311
6150210201031000
713302532061640
oct2064224076110
9453773466560
10144457104456
115629a2a6745
1223bb6485460
13108120ca002
146dc556d520
153b5718a056
hex21a2507c48

144457104456 has 256 divisors, whose sum is σ = 495037440000. Its totient is φ = 38117350656.

The previous prime is 144457104439. The next prime is 144457104469. The reversal of 144457104456 is 654401754441.

144457104456 is a `hidden beast` number, since 1 + 4 + 44 + 57 + 104 + 456 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 936885 + ... + 1080123.

It is an arithmetic number, because the mean of its divisors is an integer number (1933740000).

Almost surely, 2144457104456 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 144457104456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247518720000).

144457104456 is an abundant number, since it is smaller than the sum of its proper divisors (350580335544).

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

144457104456 is a wasteful number, since it uses less digits than its factorization.

144457104456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143313 (or 143303 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

Adding to 144457104456 its reverse (654401754441), we get a palindrome (798858858897).

The spelling of 144457104456 in words is "one hundred forty-four billion, four hundred fifty-seven million, one hundred four thousand, four hundred fifty-six".