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44302255220344 = 23112192408778557
BaseRepresentation
bin10100001001010111011000…
…01011110110011001111000
312210212020212100010210201011
422010223230023312121320
521301322004314022334
6234120101452403304
712221506120040602
oct1204535413663170
9183766770123634
1044302255220344
1113130532129400
124b760a7776534
131b948b94b89b4
14ad2352290172
1551c60b35e564
hex284aec2f6678

44302255220344 has 48 divisors (see below), whose sum is σ = 96110264464200. Its totient is φ = 19077526163520.

The previous prime is 44302255220309. The next prime is 44302255220357.

44302255220344 is nontrivially palindromic in base 10.

44302255220344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44302255220297 and 44302255220306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1204370887 + ... + 1204407670.

Almost surely, 244302255220344 is an apocalyptic number.

44302255220344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44302255220344 is an abundant number, since it is smaller than the sum of its proper divisors (51808009243856).

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

44302255220344 is a wasteful number, since it uses less digits than its factorization.

44302255220344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408778604 (or 2408778589 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 40.

It can be divided in two parts, 4430225 and 5220344, that added together give a palindrome (9650569).

The spelling of 44302255220344 in words is "forty-four trillion, three hundred two billion, two hundred fifty-five million, two hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 418 484 836 968 1672 2299 4598 9196 18392 2408778557 4817557114 9635114228 19270228456 26496564127 45766792583 52993128254 91533585166 105986256508 183067170332 211972513016 291462205397 366134340664 503434718413 582924410794 1006869436826 1165848821588 2013738873652 2331697643176 4027477747304 5537781902543 11075563805086 22151127610172 44302255220344