Search a number
-
+
54501433140000 = 2535471111796847
BaseRepresentation
bin11000110010001100110101…
…00011111110001100100000
321010222021201120202201210210
430121012122203332030200
524120422413340440000
6311525340203454120
714323412214663420
oct1431063243761440
9233867646681723
1054501433140000
1116402a23181480
1261428ab827340
13245460354c1c2
14d65c52228480
15647a9248c350
hex31919a8fe320

54501433140000 has 480 divisors, whose sum is σ = 222889079863296. Its totient is φ = 11324972160000.

The previous prime is 54501433139987. The next prime is 54501433140053. The reversal of 54501433140000 is 4133410545.

54501433140000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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 54501433140000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1278424 + ... + 10518423.

Almost surely, 254501433140000 is an apocalyptic number.

54501433140000 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 54501433140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111444539931648).

54501433140000 is an abundant number, since it is smaller than the sum of its proper divisors (168387646723296).

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

54501433140000 is a wasteful number, since it uses less digits than its factorization.

54501433140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11796898 (or 11796875 counting only the distinct ones).

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

Adding to 54501433140000 its reverse (4133410545), we get a palindrome (54505566550545).

The spelling of 54501433140000 in words is "fifty-four trillion, five hundred one billion, four hundred thirty-three million, one hundred forty thousand".