Search a number
-
+
5452501440000 = 29354192341317
BaseRepresentation
bin100111101011000001001…
…1010010101011000000000
3201022020212012101222121210
41033112002122111120000
51203313210332040000
615332502232450120
71101634032352656
oct117260232253000
921266765358553
105452501440000
111812435a0989a
12740893849940
13307226787024
1414bc8c582dd6
1596c733c2350
hex4f582695600

5452501440000 has 1600 divisors, whose sum is σ = 20488223669760. Its totient is φ = 1281392640000.

The previous prime is 5452501439993. The next prime is 5452501440013. The reversal of 5452501440000 is 441052545.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 5452501440000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17200319842 + ... + 17200320158.

Almost surely, 25452501440000 is an apocalyptic number.

5452501440000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5452501440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10244111834880).

5452501440000 is an abundant number, since it is smaller than the sum of its proper divisors (15035722229760).

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

5452501440000 is a wasteful number, since it uses less digits than its factorization.

5452501440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 5452501440000 its reverse (441052545), we get a palindrome (5452942492545).

The spelling of 5452501440000 in words is "five trillion, four hundred fifty-two billion, five hundred one million, four hundred forty thousand".