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4040153485056 = 2832133143472153
BaseRepresentation
bin111010110010101011111…
…010011100111100000000
3112022020100020120002100100
4322302223322130330000
51012143213243010211
612332004302322400
7564614525000163
oct72625372347400
915266306502310
104040153485056
111318468352267
12553013289400
13233ca58ca250
14dd78a061ada
15701611ae156
hex3acabe9cf00

4040153485056 has 864 divisors, whose sum is σ = 13538853199872. Its totient is φ = 1149510942720.

The previous prime is 4040153485037. The next prime is 4040153485061. The reversal of 4040153485056 is 6505843510404.

4040153485056 is a `hidden beast` number, since 404 + 0 + 153 + 48 + 5 + 0 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1876521676 + ... + 1876523828.

Almost surely, 24040153485056 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 4040153485056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6769426599936).

4040153485056 is an abundant number, since it is smaller than the sum of its proper divisors (9498699714816).

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

4040153485056 is a wasteful number, since it uses less digits than its factorization.

4040153485056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

It can be divided in two parts, 404015348 and 5056, that added together give a palindrome (404020404).

The spelling of 4040153485056 in words is "four trillion, forty billion, one hundred fifty-three million, four hundred eighty-five thousand, fifty-six".