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5431044330 = 23458975337
BaseRepresentation
bin1010000111011011…
…10010100011101010
3112000111110122020000
411003231302203222
542110321404310
62254530043430
7251405054325
oct50355624352
915014418200
105431044330
112337756a98
121076a19576
1368724c5ca
143974277bc
1521bbed4c0
hex143b728ea

5431044330 has 80 divisors (see below), whose sum is σ = 14767754760. Its totient is φ = 1431986688.

The previous prime is 5431044319. The next prime is 5431044343. The reversal of 5431044330 is 334401345.

It can be written as a sum of positive squares in 4 ways, for example, as 3669815241 + 1761229089 = 60579^2 + 41967^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5431044294 and 5431044303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34422 + ... + 109758.

Almost surely, 25431044330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5431044330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7383877380).

5431044330 is an abundant number, since it is smaller than the sum of its proper divisors (9336710430).

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

5431044330 is a wasteful number, since it uses less digits than its factorization.

5431044330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75445 (or 75436 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 5431044330 is about 73695.6194763298. The cubic root of 5431044330 is about 1757.7662271126.

Adding to 5431044330 its reverse (334401345), we get a palindrome (5765445675).

The spelling of 5431044330 in words is "five billion, four hundred thirty-one million, forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 89 90 135 162 178 267 270 405 445 534 801 810 890 1335 1602 2403 2670 4005 4806 7209 8010 12015 14418 24030 36045 72090 75337 150674 226011 376685 452022 678033 753370 1130055 1356066 2034099 2260110 3390165 4068198 6102297 6704993 6780330 10170495 12204594 13409986 20114979 20340990 30511485 33524965 40229958 60344937 61022970 67049930 100574895 120689874 181034811 201149790 301724685 362069622 543104433 603449370 905174055 1086208866 1810348110 2715522165 5431044330