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44224141032 = 233213912973407
BaseRepresentation
bin101001001011111101…
…101101011011101000
311020011001112010122100
4221023331231123220
51211032340003112
632152152453400
73123625665531
oct511375553350
9136131463570
1044224141032
1117834413795
1286a26aa260
13422a2614b6
1421d75c9688
15123c7842dc
hexa4bf6d6e8

44224141032 has 96 divisors (see below), whose sum is σ = 120763843200. Its totient is φ = 14619750912.

The previous prime is 44224141007. The next prime is 44224141061. The reversal of 44224141032 is 23014142244.

44224141032 is a `hidden beast` number, since 4 + 4 + 2 + 241 + 410 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 44224140987 and 44224141005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12978673 + ... + 12982079.

It is an arithmetic number, because the mean of its divisors is an integer number (1257956700).

Almost surely, 244224141032 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 44224141032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60381921600).

44224141032 is an abundant number, since it is smaller than the sum of its proper divisors (76539702168).

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

44224141032 is a wasteful number, since it uses less digits than its factorization.

44224141032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 44224141032 its reverse (23014142244), we get a palindrome (67238283276).

The spelling of 44224141032 in words is "forty-four billion, two hundred twenty-four million, one hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1297 1668 2502 2594 3336 3407 3891 5004 5188 6814 7782 10008 10221 10376 11673 13628 15564 20442 23346 27256 30663 31128 40884 46692 61326 81768 93384 122652 180283 245304 360566 473573 540849 721132 947146 1081698 1420719 1442264 1622547 1894292 2163396 2841438 3245094 3788584 4262157 4326792 4418879 5682876 6490188 8524314 8837758 11365752 12980376 13256637 17048628 17675516 26513274 34097256 35351032 39769911 53026548 79539822 106053096 159079644 318159288 614224181 1228448362 1842672543 2456896724 3685345086 4913793448 5528017629 7370690172 11056035258 14741380344 22112070516 44224141032