Search a number
-
+
1441413946921 = 132923532
BaseRepresentation
bin10100111110011010111…
…101110101111000101001
312002210112121122021111211
4110332122331311320221
5142104003432300141
63022102035153121
7206065403252044
oct24763275657051
95083477567454
101441413946921
11506333660603
121b34327457a1
13a5c038ac100
144da9c8b9c5b
1527763d43d81
hex14f9af75e29

1441413946921 has 9 divisors (see below), whose sum is σ = 1560837920229. Its totient is φ = 1330521543936.

The previous prime is 1441413946871. The next prime is 1441413946957. The reversal of 1441413946921 is 1296493141441.

The square root of 1441413946921 is 1200589.

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

It can be written as a sum of positive squares in 4 ways, for example, as 91681178521 + 1349732768400 = 302789^2 + 1161780^2 .

It is not a de Polignac number, because 1441413946921 - 27 = 1441413946793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1441413946991) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15561481 + ... + 15653833.

It is an arithmetic number, because the mean of its divisors is an integer number (173426435581).

Almost surely, 21441413946921 is an apocalyptic number.

1441413946921 is the 1200589-th square number.

1441413946921 is the 600295-th centered octagonal number.

It is an amenable number.

1441413946921 is a deficient number, since it is larger than the sum of its proper divisors (119423973308).

1441413946921 is an frugal number, since it uses more digits than its factorization.

1441413946921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184732 (or 92366 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

Multiplying 1441413946921 by its sum of digits (49), we get a square (70629283399129 = 84041232).

The spelling of 1441413946921 in words is "one trillion, four hundred forty-one billion, four hundred thirteen million, nine hundred forty-six thousand, nine hundred twenty-one".

Divisors: 1 13 169 92353 1200589 15607657 8529076609 110877995917 1441413946921