Search a number
-
+
544509018240 = 273511313492383
BaseRepresentation
bin1111110110001110100…
…01000100000010000000
31221001110202210002221120
413323013101010002000
532410123302040430
61054051033552240
754224304201045
oct7730721040200
91831422702846
10544509018240
1119aa1a1666a0
1289642b75680
133c468413865
141c4d65a71cc
15e26d3da610
hex7ec7444080

544509018240 has 512 divisors, whose sum is σ = 1960906752000. Its totient is φ = 127324569600.

The previous prime is 544509018227. The next prime is 544509018241. The reversal of 544509018240 is 42810905445.

It is a junction number, because it is equal to n+sod(n) for n = 544509018192 and 544509018201.

It is not an unprimeable number, because it can be changed into a prime (544509018241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228496089 + ... + 228498471.

It is an arithmetic number, because the mean of its divisors is an integer number (3829896000).

Almost surely, 2544509018240 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 544509018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980453376000).

544509018240 is an abundant number, since it is smaller than the sum of its proper divisors (1416397733760).

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

544509018240 is a wasteful number, since it uses less digits than its factorization.

544509018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 544509018240 in words is "five hundred forty-four billion, five hundred nine million, eighteen thousand, two hundred forty".