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5441438000 = 24534166359
BaseRepresentation
bin1010001000101010…
…11100000100110000
3112001020000200122202
411010111130010300
542121002004000
62255540522332
7251562313505
oct50425340460
915036020582
105441438000
1123426059a9
12107a3b03a8
1368944b3cb
143989714ac
1521caa2dd5
hex14455c130

5441438000 has 80 divisors (see below), whose sum is σ = 13478512320. Its totient is φ = 2123456000.

The previous prime is 5441437999. The next prime is 5441438011. The reversal of 5441438000 is 8341445.

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

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, 48821 + ... + 115179.

It is an arithmetic number, because the mean of its divisors is an integer number (168481404).

Almost surely, 25441438000 is an apocalyptic number.

5441438000 is a gapful number since it is divisible by the number (50) 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 5441438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739256160).

5441438000 is an abundant number, since it is smaller than the sum of its proper divisors (8037074320).

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

5441438000 is a wasteful number, since it uses less digits than its factorization.

5441438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66423 (or 66407 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 5441438000 is about 73766.1033266635. The cubic root of 5441438000 is about 1758.8868219036.

Adding to 5441438000 its reverse (8341445), we get a palindrome (5449779445).

The spelling of 5441438000 in words is "five billion, four hundred forty-one million, four hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1640 2000 2050 3280 4100 5125 8200 10250 16400 20500 41000 66359 82000 132718 265436 331795 530872 663590 1061744 1327180 1658975 2654360 2720719 3317950 5308720 5441438 6635900 8294875 10882876 13271800 13603595 16589750 21765752 26543600 27207190 33179500 43531504 54414380 66359000 68017975 108828760 132718000 136035950 217657520 272071900 340089875 544143800 680179750 1088287600 1360359500 2720719000 5441438000