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1441043712 = 28325311801
BaseRepresentation
bin101010111100100…
…1001010100000000
310201102120121100100
41111321021110000
510422401344322
6354554322400
750465445423
oct12571112400
93642517310
101441043712
1167a482519
12342729400
1319c71c3b4
14d95579ba
15867a0dac
hex55e49500

1441043712 has 108 divisors (see below), whose sum is σ = 4233637044. Its totient is φ = 471244800.

The previous prime is 1441043693. The next prime is 1441043713. The reversal of 1441043712 is 2173401441.

It can be written as a sum of positive squares in 2 ways, for example, as 905769216 + 535274496 = 30096^2 + 23136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441043713) 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, 116212 + ... + 128012.

It is an arithmetic number, because the mean of its divisors is an integer number (39200343).

Almost surely, 21441043712 is an apocalyptic number.

1441043712 is a gapful number since it is divisible by the number (12) 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 1441043712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116818522).

1441043712 is an abundant number, since it is smaller than the sum of its proper divisors (2792593332).

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

1441043712 is a wasteful number, since it uses less digits than its factorization.

1441043712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11876 (or 11859 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1441043712 is about 37961.0815441289. The cubic root of 1441043712 is about 1129.5159939347.

The spelling of 1441043712 in words is "one billion, four hundred forty-one million, forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 576 636 768 848 954 1152 1272 1696 1908 2304 2544 3392 3816 5088 6784 7632 10176 11801 13568 15264 20352 23602 30528 35403 40704 47204 61056 70806 94408 106209 122112 141612 188816 212418 283224 377632 424836 566448 625453 755264 849672 1132896 1250906 1510528 1699344 1876359 2265792 2501812 3021056 3398688 3752718 4531584 5003624 5629077 6797376 7505436 9063168 10007248 11258154 13594752 15010872 20014496 22516308 27189504 30021744 40028992 45032616 60043488 80057984 90065232 120086976 160115968 180130464 240173952 360260928 480347904 720521856 1441043712