Search a number
-
+
1441120333352 = 2372101181201101
BaseRepresentation
bin10100111110001001011…
…101110010111000101000
312002202210011011011102012
4110332021131302320220
5142102403301131402
63022012550055052
7206055206501600
oct24761135627050
95082704134365
101441120333352
115061a2949367
121b337034a488
13a5b87b0917b
144da718c9c00
1527748197452
hex14f89772e28

1441120333352 has 96 divisors (see below), whose sum is σ = 3191935186440. Its totient is φ = 608126400000.

The previous prime is 1441120333349. The next prime is 1441120333399. The reversal of 1441120333352 is 2533330211441.

It can be written as a sum of positive squares in 4 ways, for example, as 836760244516 + 604360088836 = 914746^2 + 777406^2 .

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, 7065602 + ... + 7266702.

Almost surely, 21441120333352 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 1441120333352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595967593220).

1441120333352 is an abundant number, since it is smaller than the sum of its proper divisors (1750814853088).

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

1441120333352 is a wasteful number, since it uses less digits than its factorization.

1441120333352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201403 (or 201392 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 1441120333352 its reverse (2533330211441), we get a palindrome (3974450544793).

The spelling of 1441120333352 in words is "one trillion, four hundred forty-one billion, one hundred twenty million, three hundred thirty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 181 196 202 362 392 404 707 724 808 1267 1414 1448 2534 2828 4949 5068 5656 8869 9898 10136 17738 18281 19796 35476 36562 39592 70952 73124 127967 146248 201101 255934 402202 511868 804404 895769 1023736 1407707 1608808 1791538 2815414 3583076 5630828 7166152 9853949 11261656 19707898 20311201 36399281 39415796 40622402 72798562 78831592 81244804 142178407 145597124 162489608 254794967 284356814 291194248 509589934 568713628 995248849 1019179868 1137427256 1783564769 1990497698 2038359736 3567129538 3676327381 3980995396 7134259076 7352654762 7961990792 14268518152 14705309524 25734291667 29410619048 51468583334 102937166668 180140041669 205874333336 360280083338 720560166676 1441120333352