Search a number
-
+
44225144448 = 273613475441
BaseRepresentation
bin101001001100000001…
…100010011010000000
311020011010102010001220
4221030001202122000
51211033114110243
632152230155040
73123640345122
oct511401423200
9136133363056
1044225144448
1117834a39661
1286a2ab2a80
13422a523134
1421d77ab212
15123c8d1783
hexa4c062680

44225144448 has 128 divisors (see below), whose sum is σ = 119764923840. Its totient is φ = 14455603200.

The previous prime is 44225144437. The next prime is 44225144459. The reversal of 44225144448 is 84444152244.

It is an interprime number because it is at equal distance from previous prime (44225144437) and next prime (44225144459).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8125408 + ... + 8130848.

Almost surely, 244225144448 is an apocalyptic number.

44225144448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44225144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59882461920).

44225144448 is an abundant number, since it is smaller than the sum of its proper divisors (75539779392).

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

44225144448 is a wasteful number, since it uses less digits than its factorization.

44225144448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5866 (or 5854 counting only the distinct ones).

The product of its digits is 655360, while the sum is 42.

The spelling of 44225144448 in words is "forty-four billion, two hundred twenty-five million, one hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 347 366 384 488 694 732 976 1041 1388 1464 1952 2082 2776 2928 3904 4164 5441 5552 5856 7808 8328 10882 11104 11712 16323 16656 21167 21764 22208 23424 32646 33312 42334 43528 44416 63501 65292 66624 84668 87056 127002 130584 133248 169336 174112 254004 261168 331901 338672 348224 508008 522336 663802 677344 696448 995703 1016016 1044672 1327604 1354688 1888027 1991406 2032032 2089344 2655208 2709376 3776054 3982812 4064064 5310416 5664081 7552108 7965624 8128128 10620832 11328162 15104216 15931248 21241664 22656324 30208432 31862496 42483328 45312648 60416864 63724992 90625296 115169647 120833728 127449984 181250592 230339294 241667456 345508941 362501184 460678588 691017882 725002368 921357176 1382035764 1842714352 2764071528 3685428704 5528143056 7370857408 11056286112 14741714816 22112572224 44225144448