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5141441320 = 2352927716001
BaseRepresentation
bin1001100100111010…
…00010101100101000
3111021022112021120121
410302131002230220
541012202110240
62210102533024
7241260346561
oct46235025450
914238467517
105141441320
1121a9233a64
12bb5a37174
1363c251c92
1436ab9d168
1520159504a
hex132742b28

5141441320 has 64 divisors (see below), whose sum is σ = 12011101200. Its totient is φ = 1978368000.

The previous prime is 5141441309. The next prime is 5141441351. The reversal of 5141441320 is 231441415.

It can be written as a sum of positive squares in 8 ways, for example, as 2346627364 + 2794813956 = 48442^2 + 52866^2 .

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, 313320 + ... + 329320.

Almost surely, 25141441320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5141441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005550600).

5141441320 is an abundant number, since it is smaller than the sum of its proper divisors (6869659880).

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

5141441320 is a wasteful number, since it uses less digits than its factorization.

5141441320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16318 (or 16314 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 5141441320 is about 71703.8445273334. The cubic root of 5141441320 is about 1725.9503348497.

Adding to 5141441320 its reverse (231441415), we get a palindrome (5372882735).

The spelling of 5141441320 in words is "five billion, one hundred forty-one million, four hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 277 290 554 580 1108 1160 1385 2216 2770 5540 8033 11080 16001 16066 32002 32132 40165 64004 64264 80005 80330 128008 160010 160660 320020 321320 464029 640040 928058 1856116 2320145 3712232 4432277 4640290 8864554 9280580 17729108 18561160 22161385 35458216 44322770 88645540 128536033 177291080 257072066 514144132 642680165 1028288264 1285360330 2570720660 5141441320