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4441340500 = 225379229491
BaseRepresentation
bin1000010001011100…
…10111101001010100
3102110112011110210121
410020232113221110
533043440344000
62012413201324
7215026525402
oct41056275124
912415143717
104441340500
11197a025943
12a3b490244
1355a1a8a3c
14301bda472
151aeda2b1a
hex108b97a54

4441340500 has 96 divisors (see below), whose sum is σ = 9885657600. Its totient is φ = 1742832000.

The previous prime is 4441340447. The next prime is 4441340537. The reversal of 4441340500 is 50431444.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9045255 + ... + 9045745.

It is an arithmetic number, because the mean of its divisors is an integer number (102975600).

Almost surely, 24441340500 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 4441340500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942828800).

4441340500 is an abundant number, since it is smaller than the sum of its proper divisors (5444317100).

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

4441340500 is a wasteful number, since it uses less digits than its factorization.

4441340500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 4441340500 is about 66643.3830173709. The cubic root of 4441340500 is about 1643.7585444866.

Adding to 4441340500 its reverse (50431444), we get a palindrome (4491771944).

The spelling of 4441340500 in words is "four billion, four hundred forty-one million, three hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 125 158 229 250 316 395 458 491 500 790 916 982 1145 1580 1964 1975 2290 2455 3950 4580 4910 5725 7900 9820 9875 11450 12275 18091 19750 22900 24550 28625 36182 38789 39500 49100 57250 61375 72364 77578 90455 112439 114500 122750 155156 180910 193945 224878 245500 361820 387890 449756 452275 562195 775780 904550 969725 1124390 1809100 1939450 2248780 2261375 2810975 3878900 4522750 4848625 5621950 8882681 9045500 9697250 11243900 14054875 17765362 19394500 28109750 35530724 44413405 56219500 88826810 177653620 222067025 444134050 888268100 1110335125 2220670250 4441340500