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44341200214344 = 23321155986363907
BaseRepresentation
bin10100001010011111111010…
…11111001101100101001000
312210222222101111000111001100
422011033331133031211020
521302441234223324334
6234150022143021400
712224355164033265
oct1205177537154510
9183888344014040
1044341200214344
1113145aa7603860
124b8175629a860
131b98484b12247
14ad41a86b226c
1551d63a3ebc99
hex2853fd7cd948

44341200214344 has 48 divisors (see below), whose sum is σ = 131008091544720. Its totient is φ = 13436727337440.

The previous prime is 44341200214343. The next prime is 44341200214373.

44341200214344 is a `hidden beast` number, since 4 + 43 + 41 + 20 + 0 + 214 + 344 = 666.

44341200214344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×443412002143442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44341200214299 and 44341200214308.

It is not an unprimeable number, because it can be changed into a prime (44341200214343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27993181162 + ... + 27993182745.

It is an arithmetic number, because the mean of its divisors is an integer number (2729335240515).

Almost surely, 244341200214344 is an apocalyptic number.

44341200214344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44341200214344 is an abundant number, since it is smaller than the sum of its proper divisors (86666891330376).

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

44341200214344 is a wasteful number, since it uses less digits than its factorization.

44341200214344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55986363930 (or 55986363923 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 44341200 and 214344, that added together give a palindrome (44555544).

The spelling of 44341200214344 in words is "forty-four trillion, three hundred forty-one billion, two hundred million, two hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 55986363907 111972727814 167959091721 223945455628 335918183442 447890911256 503877275163 615850002977 671836366884 1007754550326 1231700005954 1343672733768 1847550008931 2015509100652 2463400011908 3695100017862 4031018201304 4926800023816 5542650026793 7390200035724 11085300053586 14780400071448 22170600107172 44341200214344