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5440122300 = 22352151120091
BaseRepresentation
bin1010001000100000…
…11010110110111100
3112001010112211212010
411010100122312330
542120132403200
62255452411220
7251545163604
oct50420326674
915033484763
105440122300
112341897448
121079a76b10
136890aa5a2
1439870bc04
1521c8e3150
hex14441adbc

5440122300 has 72 divisors (see below), whose sum is σ = 15844458112. Its totient is φ = 1441080000.

The previous prime is 5440122299. The next prime is 5440122329. The reversal of 5440122300 is 32210445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14746 + ... + 105345.

Almost surely, 25440122300 is an apocalyptic number.

5440122300 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 5440122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7922229056).

5440122300 is an abundant number, since it is smaller than the sum of its proper divisors (10404335812).

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

5440122300 is a wasteful number, since it uses less digits than its factorization.

5440122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120259 (or 120252 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 5440122300 is about 73757.1847347769. The cubic root of 5440122300 is about 1758.7450484770.

Adding to 5440122300 its reverse (32210445), we get a palindrome (5472332745).

The spelling of 5440122300 in words is "five billion, four hundred forty million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 300 302 453 604 755 906 1510 1812 2265 3020 3775 4530 7550 9060 11325 15100 22650 45300 120091 240182 360273 480364 600455 720546 1200910 1441092 1801365 2401820 3002275 3602730 6004550 7205460 9006825 12009100 18013650 18133741 36027300 36267482 54401223 72534964 90668705 108802446 181337410 217604892 272006115 362674820 453343525 544012230 906687050 1088024460 1360030575 1813374100 2720061150 5440122300