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1241443868401 = 11219925092
BaseRepresentation
bin10010000100001011110…
…100100001111011110001
311101200101100122202120101
4102010023310201323301
5130314434112242101
62350151134312401
7155456064525502
oct22041364417361
94350340582511
101241443868401
11439547776900
12180725058701
13900b5838269
144412c786ba9
152245d330401
hex1210bd21ef1

1241443868401 has 27 divisors (see below), whose sum is σ = 1374153525003. Its totient is φ = 1120707933840.

The previous prime is 1241443868359. The next prime is 1241443868417. The reversal of 1241443868401 is 1048683441421.

The square root of 1241443868401 is 1114201.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1009524572001 + 231919296400 = 1004751^2 + 481580^2 .

It is not a de Polignac number, because 1241443868401 - 217 = 1241443737329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1241443868461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2438985735 + ... + 2438986243.

Almost surely, 21241443868401 is an apocalyptic number.

1241443868401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1241443868401 is the 1114201-st square number.

1241443868401 is the 557101-st centered octagonal number.

It is an amenable number.

1241443868401 is a deficient number, since it is larger than the sum of its proper divisors (132709656602).

1241443868401 is an frugal number, since it uses more digits than its factorization.

1241443868401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 1241443868401 in words is "one trillion, two hundred forty-one billion, four hundred forty-three million, eight hundred sixty-eight thousand, four hundred one".

Divisors: 1 11 121 199 509 2189 5599 24079 39601 61589 101291 259081 435611 1114201 2849891 4791721 12256211 20156909 31348801 51557119 221725999 567128309 2438985989 6238411399 10259866681 112858533491 1241443868401