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244193543424 = 283419975897
BaseRepresentation
bin1110001101101100010…
…0011100010100000000
3212100022021020022010000
43203123010130110000
513000102021342144
6304103031040000
723433225604635
oct3433304342400
9770267208100
10244193543424
119461a986506
123b3abb10000
131a04812967c
14bb675c418c
1565431b2769
hex38db11c500

244193543424 has 180 divisors, whose sum is σ = 728629117524. Its totient is φ = 81343291392.

The previous prime is 244193543381. The next prime is 244193543519. The reversal of 244193543424 is 424345391442.

244193543424 is a `hidden beast` number, since 2 + 4 + 4 + 193 + 5 + 434 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106380345600 + 137813197824 = 326160^2 + 371232^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 244193543424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41406844 + ... + 41412740.

Almost surely, 2244193543424 is an apocalyptic number.

244193543424 is a gapful number since it is divisible by the number (24) 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 244193543424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364314558762).

244193543424 is an abundant number, since it is smaller than the sum of its proper divisors (484435574100).

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

244193543424 is an equidigital number, since it uses as much as digits as its factorization.

244193543424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922 (or 7899 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 244193543424 in words is "two hundred forty-four billion, one hundred ninety-three million, five hundred forty-three thousand, four hundred twenty-four".