Search a number
-
+
44194130176 = 287218772
BaseRepresentation
bin101001001010001011…
…001110100100000000
311020001222001102111011
4221022023032210000
51211002144131201
632145201330304
73123112623400
oct511213164400
9136058042434
1044194130176
1117819486129
128694636994
134223c845b1
1421d3616800
151239d07151
hexa4a2ce900

44194130176 has 81 divisors (see below), whose sum is σ = 102672878889. Its totient is φ = 18930250752.

The previous prime is 44194130173. The next prime is 44194130203. The reversal of 44194130176 is 67103149144.

It is a happy number.

The square root of 44194130176 is 210224.

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

It can be written as a sum of positive squares in only one way, i.e., 27662342400 + 16531787776 = 166320^2 + 128576^2 .

It is a super-2 number, since 2×441941301762 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (44194130173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23544150 + ... + 23546026.

Almost surely, 244194130176 is an apocalyptic number.

44194130176 is the 210224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44194130176

44194130176 is an abundant number, since it is smaller than the sum of its proper divisors (58478748713).

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

44194130176 is an frugal number, since it uses more digits than its factorization.

44194130176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 44194130176 in words is "forty-four billion, one hundred ninety-four million, one hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 1877 3136 3754 6272 7508 12544 13139 15016 26278 30032 52556 60064 91973 105112 120128 183946 210224 240256 367892 420448 480512 735784 840896 1471568 1681792 2943136 3363584 3523129 5886272 7046258 11772544 14092516 23545088 24661903 28185032 49323806 56370064 98647612 112740128 172633321 197295224 225480256 345266642 394590448 450960512 690533284 789180896 901921024 1381066568 1578361792 2762133136 3156723584 5524266272 6313447168 11048532544 22097065088 44194130176