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44740287361 = 72112412672
BaseRepresentation
bin101001101010101110…
…101001101110000001
311021111000202002022001
4221222232221232001
51213112003143421
632315311344001
73142464111400
oct515256515601
9137430662261
1044740287361
1117a797a9100
128807522001
1342b017a923
142245d85637
15126cc3b691
hexa6aba9b81

44740287361 has 81 divisors (see below), whose sum is σ = 59523821091. Its totient is φ = 33504609600.

The previous prime is 44740287359. The next prime is 44740287419. The reversal of 44740287361 is 16378204744.

The square root of 44740287361 is 211519.

It is a perfect power (a square), and thus also a powerful number.

44740287361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2155837761 + 42584449600 = 46431^2 + 206360^2 .

It is not a de Polignac number, because 44740287361 - 21 = 44740287359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44740287311) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 667765450 + ... + 667765516.

Almost surely, 244740287361 is an apocalyptic number.

44740287361 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

44740287361 is the 211519-th square number.

44740287361 is the 105760-th centered octagonal number.

It is an amenable number.

44740287361 is a deficient number, since it is larger than the sum of its proper divisors (14783533730).

44740287361 is an equidigital number, since it uses as much as digits as its factorization.

44740287361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 46.

The spelling of 44740287361 in words is "forty-four billion, seven hundred forty million, two hundred eighty-seven thousand, three hundred sixty-one".

Divisors: 1 7 11 41 49 67 77 121 287 451 469 539 737 847 1681 2009 2747 3157 3283 4489 4961 5159 5929 8107 11767 18491 19229 22099 30217 31423 34727 36113 49379 56749 82369 112627 129437 134603 184049 203401 211519 219961 243089 332387 345653 397243 543169 788389 906059 1238897 1288343 1423807 1480633 2024539 2326709 2419571 3802183 5518723 7546009 8672279 9018401 9966649 13627867 14171773 16286963 22269929 26615281 52822063 60705953 83006099 95395069 99202411 155889503 369754441 581042693 667765483 913067089 1091226521 4067298851 6391469623 44740287361