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5454134400000 = 210355111329137
BaseRepresentation
bin100111101011110001110…
…1111100101010000000000
3201022102002000002221121210
41033113203233211100000
51203330031401300000
615333332244450120
71102022351320206
oct117274357452000
921272060087553
105454134400000
1118130a3752910
1274106a6a9940
13307426b90150
1414bda53b7076
1596d1b932350
hex4f5e3be5400

5454134400000 has 2112 divisors, whose sum is σ = 22244348770560. Its totient is φ = 1169817600000.

The previous prime is 5454134399977. The next prime is 5454134400007. The reversal of 5454134400000 is 44314545.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5454134400007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39811199932 + ... + 39811200068.

Almost surely, 25454134400000 is an apocalyptic number.

5454134400000 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 5454134400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11122174385280).

5454134400000 is an abundant number, since it is smaller than the sum of its proper divisors (16790214370560).

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

5454134400000 is a wasteful number, since it uses less digits than its factorization.

5454134400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 5454134400000 its reverse (44314545), we get a palindrome (5454178714545).

The spelling of 5454134400000 in words is "five trillion, four hundred fifty-four billion, one hundred thirty-four million, four hundred thousand".