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44446441216 = 282937161807
BaseRepresentation
bin101001011001001101…
…101101111100000000
311020201112211011011111
4221121031231330000
51212011242104331
632230213253104
73132265342162
oct513115557400
9136645734144
1044446441216
1117938948151
128745034194
134264325b78
142218d34932
151252045db1
hexa5936df00

44446441216 has 72 divisors (see below), whose sum is σ = 94259632320. Its totient is φ = 20876857344.

The previous prime is 44446441211. The next prime is 44446441217. The reversal of 44446441216 is 61214464444.

It is a super-2 number, since 2×444464412162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44446441211) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 193785 + ... + 355591.

It is an arithmetic number, because the mean of its divisors is an integer number (1309161560).

Almost surely, 244446441216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44446441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47129816160).

44446441216 is an abundant number, since it is smaller than the sum of its proper divisors (49813191104).

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

44446441216 is a wasteful number, since it uses less digits than its factorization.

44446441216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161889 (or 161875 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

The spelling of 44446441216 in words is "forty-four billion, four hundred forty-six million, four hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 32 37 58 64 74 116 128 148 232 256 296 464 592 928 1073 1184 1856 2146 2368 3712 4292 4736 7424 8584 9472 17168 34336 68672 137344 161807 274688 323614 647228 1294456 2588912 4692403 5177824 5986859 9384806 10355648 11973718 18769612 20711296 23947436 37539224 41422592 47894872 75078448 95789744 150156896 173618911 191579488 300313792 347237822 383158976 600627584 694475644 766317952 1201255168 1388951288 1532635904 2777902576 5555805152 11111610304 22223220608 44446441216