Search a number
-
+
249140421000 = 23335329595393
BaseRepresentation
bin1110100000000111101…
…1010010000110001000
3212211002000122201102000
43220001323102012020
513040214421433000
6310241543511000
723666634431352
oct3500173220610
9784060581360
10249140421000
11967292aa889
1240350758460
131a655c78873
14c0b65b80d2
156732624000
hex3a01ed2188

249140421000 has 512 divisors, whose sum is σ = 908781120000. Its totient is φ = 63047577600.

The previous prime is 249140420989. The next prime is 249140421043. The reversal of 249140421000 is 124041942.

It is a happy number.

249140421000 is a `hidden beast` number, since 2 + 49 + 1 + 404 + 210 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46194304 + ... + 46199696.

It is an arithmetic number, because the mean of its divisors is an integer number (1774963125).

Almost surely, 2249140421000 is an apocalyptic number.

249140421000 is a gapful number since it is divisible by the number (20) 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 249140421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454390560000).

249140421000 is an abundant number, since it is smaller than the sum of its proper divisors (659640699000).

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

249140421000 is a wasteful number, since it uses less digits than its factorization.

249140421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5511 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 249140421000 its reverse (124041942), we get a palindrome (249264462942).

The spelling of 249140421000 in words is "two hundred forty-nine billion, one hundred forty million, four hundred twenty-one thousand".