Search a number
-
+
44202444240 = 2435184176851
BaseRepresentation
bin101001001010101010…
…111100010111010000
311020002112200211020110
4221022222330113100
51211011311203430
632150055441320
73123243401553
oct511252742720
9136075624213
1044202444240
1117823144659
128697386240
134225905966
1421d477c69a
15123a8ea7b0
hexa4aabc5d0

44202444240 has 40 divisors (see below), whose sum is σ = 137027577888. Its totient is φ = 11787318400.

The previous prime is 44202444233. The next prime is 44202444259. The reversal of 44202444240 is 4244420244.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44202444198 and 44202444207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92088186 + ... + 92088665.

Almost surely, 244202444240 is an apocalyptic number.

44202444240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44202444240 is an abundant number, since it is smaller than the sum of its proper divisors (92825133648).

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

44202444240 is a wasteful number, since it uses less digits than its factorization.

44202444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184176867 (or 184176861 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 44202444240 its reverse (4244420244), we get a palindrome (48446864484).

The spelling of 44202444240 in words is "forty-four billion, two hundred two million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 184176851 368353702 552530553 736707404 920884255 1105061106 1473414808 1841768510 2210122212 2762652765 2946829616 3683537020 4420244424 5525305530 7367074040 8840488848 11050611060 14734148080 22101222120 44202444240