Search a number
-
+
5843978461440 = 283657319312
BaseRepresentation
bin101010100001010100001…
…0000101010000100000000
3202200200022220111012000000
41111002220100222010000
51231221431441231230
620232404152000000
71142133143214000
oct125025020520400
922620286435000
105843978461440
111953465542259
127a4728690000
13335114413092
14162bc8824000
15a2036918b60
hex550a842a100

5843978461440 has 3024 divisors, whose sum is σ = 26621440272000. Its totient is φ = 1224641617920.

The previous prime is 5843978461429. The next prime is 5843978461441. The reversal of 5843978461440 is 441648793485.

5843978461440 is a `hidden beast` number, since 5 + 8 + 4 + 3 + 9 + 7 + 8 + 4 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5843978461441) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 188515434225 + ... + 188515434255.

Almost surely, 25843978461440 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 5843978461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13310720136000).

5843978461440 is an abundant number, since it is smaller than the sum of its proper divisors (20777461810560).

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

5843978461440 is an frugal number, since it uses more digits than its factorization.

5843978461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 5843978461440 in words is "five trillion, eight hundred forty-three billion, nine hundred seventy-eight million, four hundred sixty-one thousand, four hundred forty".