Search a number
-
+
54452443140000 = 2532541947338761
BaseRepresentation
bin11000110000110001100101…
…00001111100111110100000
321010210121021101102212201100
430120120302201330332200
524114122100420440000
6311451035042034400
714320026205601163
oct1430306241747640
9233717241385640
1054452443140000
1116394173642374
1261352b9048a00
13244cac6b0b219
14d63725ac9ada
15646676601a00
hex31863287cfa0

54452443140000 has 720 divisors, whose sum is σ = 208017971441280. Its totient is φ = 13463677440000.

The previous prime is 54452443139989. The next prime is 54452443140023. The reversal of 54452443140000 is 4134425445.

54452443140000 is a `hidden beast` number, since 5 + 4 + 4 + 5 + 244 + 3 + 1 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 160570620 + ... + 160909380.

It is an arithmetic number, because the mean of its divisors is an integer number (288913849224).

Almost surely, 254452443140000 is an apocalyptic number.

54452443140000 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 54452443140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104008985720640).

54452443140000 is an abundant number, since it is smaller than the sum of its proper divisors (153565528301280).

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

54452443140000 is a wasteful number, since it uses less digits than its factorization.

54452443140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338863 (or 338837 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 54452443140000 its reverse (4134425445), we get a palindrome (54456577565445).

The spelling of 54452443140000 in words is "fifty-four trillion, four hundred fifty-two billion, four hundred forty-three million, one hundred forty thousand".