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44414841444 = 22317349623839
BaseRepresentation
bin101001010111010101…
…001011001001100100
311020122100100201102120
4221113111023021210
51211430144411234
632223124105540
73131432631441
oct512725131144
9136570321376
1044414841444
1117922024836
1287365352b0
13425a91098c
142214a6a9c8
15124e3a3049
hexa5754b264

44414841444 has 48 divisors (see below), whose sum is σ = 110045376000. Its totient is φ = 13894119936.

The previous prime is 44414841439. The next prime is 44414841491.

44414841444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44414841396 and 44414841405.

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 15 ways as a sum of consecutive naturals, for example, 240724 + ... + 383115.

It is an arithmetic number, because the mean of its divisors is an integer number (2292612000).

Almost surely, 244414841444 is an apocalyptic number.

It is an amenable number.

44414841444 is an abundant number, since it is smaller than the sum of its proper divisors (65630534556).

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

44414841444 is a wasteful number, since it uses less digits than its factorization.

44414841444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624212 (or 624210 counting only the distinct ones).

The product of its digits is 524288, while the sum is 42.

The spelling of 44414841444 in words is "forty-four billion, four hundred fourteen million, eight hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 349 698 1047 1396 2094 4188 5933 11866 17799 23732 35598 71196 623839 1247678 1871517 2495356 3743034 7486068 10605263 21210526 31815789 42421052 63631578 127263156 217719811 435439622 653159433 870879244 1306318866 2612637732 3701236787 7402473574 11103710361 14804947148 22207420722 44414841444