Search a number
-
+
44145393640 = 23513922392
BaseRepresentation
bin101001000111010001…
…010011111111101000
311012221120100100112021
4221013101103333220
51210402210044030
632140300554224
73121651440355
oct510721237750
9135846310467
1044145393640
11177a3a186a7
128680252974
134216b4c2ca
1421cad6b62c
1512358cb97a
hexa47453fe8

44145393640 has 72 divisors (see below), whose sum is σ = 100467217890. Its totient is φ = 17457768384.

The previous prime is 44145393631. The next prime is 44145393659. The reversal of 44145393640 is 4639354144.

It can be written as a sum of positive squares in only one way, i.e., 39730854276 + 4414539364 = 199326^2 + 66442^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 184708641 + ... + 184708879.

Almost surely, 244145393640 is an apocalyptic number.

44145393640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44145393640 is an abundant number, since it is smaller than the sum of its proper divisors (56321824250).

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

44145393640 is an equidigital number, since it uses as much as digits as its factorization.

44145393640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 44145393640 in words is "forty-four billion, one hundred forty-five million, three hundred ninety-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 139 239 278 478 556 695 956 1112 1195 1390 1912 2390 2780 4780 5560 9560 19321 33221 38642 57121 66442 77284 96605 114242 132884 154568 166105 193210 228484 265768 285605 332210 386420 456968 571210 664420 772840 1142420 1328840 2284840 4617719 7939819 9235438 15879638 18470876 23088595 31759276 36941752 39699095 46177190 63518552 79398190 92354380 158796380 184708760 317592760 1103634841 2207269682 4414539364 5518174205 8829078728 11036348410 22072696820 44145393640