Search a number
-
+
1441343020 = 2251354110247
BaseRepresentation
bin101010111101001…
…0010011000101100
310201110010210220211
41111322102120230
510422440434040
6355004552204
750501133145
oct12572223054
93643123824
101441343020
1167a667387
12342852664
1319c7c56c0
14d95d4acc
158680e8ea
hex55e9262c

1441343020 has 48 divisors (see below), whose sum is σ = 3265996608. Its totient is φ = 531152640.

The previous prime is 1441343017. The next prime is 1441343041. The reversal of 1441343020 is 203431441.

It is a junction number, because it is equal to n+sod(n) for n = 1441342982 and 1441343000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135537 + ... + 145783.

It is an arithmetic number, because the mean of its divisors is an integer number (68041596).

Almost surely, 21441343020 is an apocalyptic number.

1441343020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441343020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632998304).

1441343020 is an abundant number, since it is smaller than the sum of its proper divisors (1824653588).

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

1441343020 is a wasteful number, since it uses less digits than its factorization.

1441343020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10810 (or 10808 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1441343020 is about 37965.0236401876. The cubic root of 1441343020 is about 1129.5941895200.

Adding to 1441343020 its reverse (203431441), we get a palindrome (1644774461).

The spelling of 1441343020 in words is "one billion, four hundred forty-one million, three hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 541 1082 2164 2705 5410 7033 10247 10820 14066 20494 28132 35165 40988 51235 70330 102470 133211 140660 204940 266422 532844 666055 1332110 2664220 5543627 11087254 22174508 27718135 55436270 72067151 110872540 144134302 288268604 360335755 720671510 1441343020