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540235231104 = 27319375361619
BaseRepresentation
bin1111101110010001000…
…01110110111110000000
31220122102220220020011010
413313020201312332000
532322400204343404
61052103003520520
754013350461202
oct7671041667600
91818386806133
10540235231104
11199126782108
128884b829140
133bc36b7162a
141c20cb44772
15e0bd0d3189
hex7dc8876f80

540235231104 has 512 divisors, whose sum is σ = 1609129152000. Its totient is φ = 159929303040.

The previous prime is 540235231057. The next prime is 540235231139. The reversal of 540235231104 is 401132532045.

It is a congruent number.

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, 872754507 + ... + 872755125.

It is an arithmetic number, because the mean of its divisors is an integer number (3142830375).

Almost surely, 2540235231104 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 540235231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804564576000).

540235231104 is an abundant number, since it is smaller than the sum of its proper divisors (1068893920896).

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

540235231104 is a wasteful number, since it uses less digits than its factorization.

540235231104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 540235231104 its reverse (401132532045), we get a palindrome (941367763149).

It can be divided in two parts, 5402352 and 31104, that added together give a triangular number (5433456 = T3296).

The spelling of 540235231104 in words is "five hundred forty billion, two hundred thirty-five million, two hundred thirty-one thousand, one hundred four".