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1441400041441 = 53121722346941
BaseRepresentation
bin10100111110011010001…
…000110010111111100001
312002210111122110210210001
4110332122020302333201
5142103441402311231
63022100421140001
7206065144125223
oct24763210627741
95083448423701
101441400041441
11506326823178
121b3429b5a601
13a5c00a50a09
144da9aada413
15277629e8b61
hex14f9a232fe1

1441400041441 has 8 divisors (see below), whose sum is σ = 1469803069224. Its totient is φ = 1413041710080.

The previous prime is 1441400041423. The next prime is 1441400041453.

It is a happy number.

1441400041441 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 720327335841 + 721072705600 = 848721^2 + 849160^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1441400041441 - 25 = 1441400041409 is a prime.

It is a super-2 number, since 2×14414000414412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1441400041481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11108970 + ... + 11237971.

It is an arithmetic number, because the mean of its divisors is an integer number (183725383653).

Almost surely, 21441400041441 is an apocalyptic number.

It is an amenable number.

1441400041441 is a deficient number, since it is larger than the sum of its proper divisors (28403027783).

1441400041441 is a wasteful number, since it uses less digits than its factorization.

1441400041441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22348211.

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 14414000 and 41441, that added together give a palindrome (14455441).

The spelling of 1441400041441 in words is "one trillion, four hundred forty-one billion, four hundred million, forty-one thousand, four hundred forty-one".

Divisors: 1 53 1217 64501 22346941 1184387873 27196227197 1441400041441