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44507270544 = 24311412055953
BaseRepresentation
bin101001011100110101…
…110000110110010000
311020212210021121022120
4221130311300312100
51212122330124134
632240225134240
73133634362152
oct513465606620
9136783247276
1044507270544
111796a215120
12876148a380
134273b03459
14222304aad2
15125755e649
hexa5cd70d90

44507270544 has 80 divisors (see below), whose sum is σ = 128488901184. Its totient is φ = 13158092800.

The previous prime is 44507270539. The next prime is 44507270551.

44507270544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44507270496 and 44507270505.

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, 1006329 + ... + 1049624.

Almost surely, 244507270544 is an apocalyptic number.

44507270544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44507270544 is an abundant number, since it is smaller than the sum of its proper divisors (83981630640).

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

44507270544 is a wasteful number, since it uses less digits than its factorization.

44507270544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056016 (or 2056010 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 42.

The spelling of 44507270544 in words is "forty-four billion, five hundred seven million, two hundred seventy thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 41 44 48 66 82 88 123 132 164 176 246 264 328 451 492 528 656 902 984 1353 1804 1968 2706 3608 5412 7216 10824 21648 2055953 4111906 6167859 8223812 12335718 16447624 22615483 24671436 32895248 45230966 49342872 67846449 84294073 90461932 98685744 135692898 168588146 180923864 252882219 271385796 337176292 361847728 505764438 542771592 674352584 927234803 1011528876 1085543184 1348705168 1854469606 2023057752 2781704409 3708939212 4046115504 5563408818 7417878424 11126817636 14835756848 22253635272 44507270544