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5440126240 = 25529240429
BaseRepresentation
bin1010001000100000…
…11011110100100000
3112001010120001021001
411010100123310200
542120133014430
62255452441344
7251545211233
oct50420336440
915033501231
105440126240
11234189a3aa
121079a79254
136890ac313
1439870d41a
1521c8e43ca
hex14441bd20

5440126240 has 72 divisors (see below), whose sum is σ = 13311092340. Its totient is φ = 2100962304.

The previous prime is 5440126183. The next prime is 5440126247. The reversal of 5440126240 is 426210445.

It can be written as a sum of positive squares in 6 ways, for example, as 3633196176 + 1806930064 = 60276^2 + 42508^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5440126199 and 5440126208.

It is not an unprimeable number, because it can be changed into a prime (5440126247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114346 + ... + 154774.

Almost surely, 25440126240 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 5440126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655546170).

5440126240 is an abundant number, since it is smaller than the sum of its proper divisors (7870966100).

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

5440126240 is a wasteful number, since it uses less digits than its factorization.

5440126240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40502 (or 40465 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 5440126240 is about 73757.2114440344. The cubic root of 5440126240 is about 1758.7454730663.

Adding to 5440126240 its reverse (426210445), we get a palindrome (5866336685).

The spelling of 5440126240 in words is "five billion, four hundred forty million, one hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 841 928 1160 1682 2320 3364 4205 4640 6728 8410 13456 16820 26912 33640 40429 67280 80858 134560 161716 202145 323432 404290 646864 808580 1172441 1293728 1617160 2344882 3234320 4689764 5862205 6468640 9379528 11724410 18759056 23448820 34000789 37518112 46897640 68001578 93795280 136003156 170003945 187590560 272006312 340007890 544012624 680015780 1088025248 1360031560 2720063120 5440126240