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244132241024 = 277272469019
BaseRepresentation
bin1110001101011101101…
…0100101111010000000
3212100010222212211000202
43203113122211322000
512444440323203044
6304053001104332
723431552544510
oct3432732457200
9770128784022
10244132241024
1194599316071
123b3934880a8
131a038514969
14bb5d3c7840
15653cb03c4e
hex38d76a5e80

244132241024 has 32 divisors (see below), whose sum is σ = 555836800800. Its totient is φ = 104628102912.

The previous prime is 244132241021. The next prime is 244132241027. The reversal of 244132241024 is 420142231442.

It is a happy number.

244132241024 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 (244132241021) and next prime (244132241027).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×2441322410243 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (244132241021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136233614 + ... + 136235405.

It is an arithmetic number, because the mean of its divisors is an integer number (17369900025).

Almost surely, 2244132241024 is an apocalyptic number.

It is an amenable number.

244132241024 is an abundant number, since it is smaller than the sum of its proper divisors (311704559776).

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

244132241024 is an equidigital number, since it uses as much as digits as its factorization.

244132241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272469040 (or 272469028 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 244132241024 its reverse (420142231442), we get a palindrome (664274472466).

The spelling of 244132241024 in words is "two hundred forty-four billion, one hundred thirty-two million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 272469019 544938038 1089876076 1907283133 2179752152 3814566266 4359504304 7629132532 8719008608 15258265064 17438017216 30516530128 34876034432 61033060256 122066120512 244132241024