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1441311344 = 241122293251
BaseRepresentation
bin101010111101000…
…1010101001110000
310201110002012110122
41111322022221300
510422433430334
6355004145412
750500641614
oct12572125160
93643065418
101441311344
1167a645600
12342838268
1319c7b4165
14d95c7344
158680532e
hex55e8aa70

1441311344 has 60 divisors (see below), whose sum is σ = 3083839080. Its totient is φ = 652080000.

The previous prime is 1441311337. The next prime is 1441311349. The reversal of 1441311344 is 4431131441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441311349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 441719 + ... + 444969.

It is an arithmetic number, because the mean of its divisors is an integer number (51397318).

Almost surely, 21441311344 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 1441311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541919540).

1441311344 is an abundant number, since it is smaller than the sum of its proper divisors (1642527736).

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

1441311344 is a wasteful number, since it uses less digits than its factorization.

1441311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3493 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 1441311344 is about 37964.6064644426. The cubic root of 1441311344 is about 1129.5859145322.

Adding to 1441311344 its reverse (4431131441), we get a palindrome (5872442785).

The spelling of 1441311344 in words is "one billion, four hundred forty-one million, three hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 229 242 458 484 916 968 1832 1936 2519 3251 3664 5038 6502 10076 13004 20152 26008 27709 35761 40304 52016 55418 71522 110836 143044 221672 286088 393371 443344 572176 744479 786742 1488958 1573484 2977916 3146968 5955832 6293936 8189269 11911664 16378538 32757076 65514152 90081959 131028304 180163918 360327836 720655672 1441311344