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1441706320 = 245191019391
BaseRepresentation
bin101010111101110…
…1011000101010000
310201110211021021101
41111323223011100
510423034100240
6355020434144
750504205265
oct12573530520
93643737241
101441706320
1167a89532a
123429a8954
1319c8c1b82
14d968b26c
158688239a
hex55eeb150

1441706320 has 80 divisors (see below), whose sum is σ = 3563700480. Its totient is φ = 540864000.

The previous prime is 1441706311. The next prime is 1441706323. The reversal of 1441706320 is 236071441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14417063202 = 4157034226255884800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441706323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148825 + ... + 158215.

It is an arithmetic number, because the mean of its divisors is an integer number (44546256).

Almost surely, 21441706320 is an apocalyptic number.

1441706320 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 1441706320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781850240).

1441706320 is an abundant number, since it is smaller than the sum of its proper divisors (2121994160).

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

1441706320 is a wasteful number, since it uses less digits than its factorization.

1441706320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9524 (or 9518 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 1441706320 is about 37969.8080058354. The cubic root of 1441706320 is about 1129.6890887652.

Adding to 1441706320 its reverse (236071441), we get a palindrome (1677777761).

The spelling of 1441706320 in words is "one billion, four hundred forty-one million, seven hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 101 152 190 202 304 380 404 505 760 808 1010 1520 1616 1919 2020 3838 4040 7676 8080 9391 9595 15352 18782 19190 30704 37564 38380 46955 75128 76760 93910 150256 153520 178429 187820 356858 375640 713716 751280 892145 948491 1427432 1784290 1896982 2854864 3568580 3793964 4742455 7137160 7587928 9484910 14274320 15175856 18021329 18969820 36042658 37939640 72085316 75879280 90106645 144170632 180213290 288341264 360426580 720853160 1441706320