Search a number
-
+
244412313441444 = 223210496472098121
BaseRepresentation
bin110111100100101010101101…
…000111110001010010100100
31012001101120220100201202222200
4313210222231013301102210
5224013422404220111234
62223453244451454500
7102324130654663611
oct6744525507612244
91161346810652880
10244412313441444
1170971753138175
12234b48b12b7430
13a64bca004ab15
14444d894ad1508
151d3cad2696d99
hexde4aad1f14a4

244412313441444 has 36 divisors (see below), whose sum is σ = 618408975557100. Its totient is φ = 81393105957120.

The previous prime is 244412313441437. The next prime is 244412313441451. The reversal of 244412313441444 is 444144313214442.

244412313441444 is a `hidden beast` number, since 2 + 4 + 4 + 41 + 23 + 134 + 414 + 44 = 666.

244412313441444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (244412313441437) and next prime (244412313441451).

It can be written as a sum of positive squares in 2 ways, for example, as 123000299302500 + 121412014138944 = 11090550^2 + 11018712^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 244412313441444.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3236011297 + ... + 3236086824.

Almost surely, 2244412313441444 is an apocalyptic number.

It is an amenable number.

244412313441444 is an abundant number, since it is smaller than the sum of its proper divisors (373996662115656).

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

244412313441444 is a wasteful number, since it uses less digits than its factorization.

244412313441444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6472099180 (or 6472099175 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 45.

Adding to 244412313441444 its reverse (444144313214442), we get a palindrome (688556626655886).

The spelling of 244412313441444 in words is "two hundred forty-four trillion, four hundred twelve billion, three hundred thirteen million, four hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1049 2098 3147 4196 6294 9441 12588 18882 37764 6472098121 12944196242 19416294363 25888392484 38832588726 58248883089 77665177452 116497766178 232995532356 6789230928929 13578461857858 20367692786787 27156923715716 40735385573574 61103078360361 81470771147148 122206156720722 244412313441444