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1244414144421 = 32722821800781
BaseRepresentation
bin10010000110111100110…
…111001110111110100101
311101222001100202102021100
4102012330313032332211
5130342030010110141
62351402001510313
7155622512462400
oct22067467167645
94358040672240
101244414144421
1143a831385178
12181213942399
139046a013336
1444331052d37
1522583ea20b6
hex121bcdcefa5

1244414144421 has 18 divisors (see below), whose sum is σ = 2090954379462. Its totient is φ = 711093796560.

The previous prime is 1244414144419. The next prime is 1244414144471.

1244414144421 is a `hidden beast` number, since 12 + 4 + 44 + 141 + 44 + 421 = 666.

1244414144421 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 633155995521 + 611258148900 = 795711^2 + 781830^2 .

It is not a de Polignac number, because 1244414144421 - 21 = 1244414144419 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244414144471) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1410899950 + ... + 1410900831.

Almost surely, 21244414144421 is an apocalyptic number.

It is an amenable number.

1244414144421 is a deficient number, since it is larger than the sum of its proper divisors (846540235041).

1244414144421 is a wasteful number, since it uses less digits than its factorization.

1244414144421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821800801 (or 2821800791 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The spelling of 1244414144421 in words is "one trillion, two hundred forty-four billion, four hundred fourteen million, one hundred forty-four thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 2821800781 8465402343 19752605467 25396207029 59257816401 138268238269 177773449203 414804714807 1244414144421