Search a number
-
+
5740398144 = 2632132333331
BaseRepresentation
bin1010101100010011…
…11000011001000000
3112211001120102212200
411112021320121000
543224020220034
62345340353200
7262152402435
oct52611703100
915731512780
105740398144
11248633a0a8
121142545800
13706373ac0
143c6553b8c
15238e58a99
hex156278640

5740398144 has 168 divisors, whose sum is σ = 18490460352. Its totient is φ = 1689431040.

The previous prime is 5740398119. The next prime is 5740398149. The reversal of 5740398144 is 4418930475.

5740398144 is a `hidden beast` number, since 574 + 0 + 39 + 8 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5740398144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5740398149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155559 + ... + 188889.

It is an arithmetic number, because the mean of its divisors is an integer number (110062264).

Almost surely, 25740398144 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 5740398144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9245230176).

5740398144 is an abundant number, since it is smaller than the sum of its proper divisors (12750062208).

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

5740398144 is a wasteful number, since it uses less digits than its factorization.

5740398144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33385 (or 33372 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5740398144 is about 75765.4152235702. The cubic root of 5740398144 is about 1790.5261651396.

The spelling of 5740398144 in words is "five billion, seven hundred forty million, three hundred ninety-eight thousand, one hundred forty-four".