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4103440000 = 2754114663
BaseRepresentation
bin1111010010010101…
…1000011010000000
3101120222100100110021
43310211120122000
531400440040000
61515102543224
7203454443632
oct36445303200
911528310407
104103440000
111816315230
12966297b14
1350519ac0a
142acd9ca52
151903a911a
hexf4958680

4103440000 has 160 divisors (see below), whose sum is σ = 11146307040. Its totient is φ = 1491840000.

The previous prime is 4103439983. The next prime is 4103440009. The reversal of 4103440000 is 443014.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4103440009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 877669 + ... + 882331.

It is an arithmetic number, because the mean of its divisors is an integer number (69664419).

Almost surely, 24103440000 is an apocalyptic number.

4103440000 is a gapful number since it is divisible by the number (40) 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 4103440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573153520).

4103440000 is an abundant number, since it is smaller than the sum of its proper divisors (7042867040).

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

4103440000 is an equidigital number, since it uses as much as digits as its factorization.

4103440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4103440000 is about 64058.0986292912. The cubic root of 4103440000 is about 1600.9681640433.

Adding to 4103440000 its reverse (443014), we get a palindrome (4103883014).

The spelling of 4103440000 in words is "four billion, one hundred three million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 4663 5000 5500 6875 7040 8000 8800 9326 10000 11000 13750 16000 17600 18652 20000 22000 23315 27500 35200 37304 40000 44000 46630 51293 55000 74608 80000 88000 93260 102586 110000 116575 149216 176000 186520 205172 220000 233150 256465 298432 373040 410344 440000 466300 512930 582875 596864 746080 820688 880000 932600 1025860 1165750 1282325 1492160 1641376 1865200 2051720 2331500 2564650 2914375 2984320 3282752 3730400 4103440 4663000 5129300 5828750 6411625 6565504 7460800 8206880 9326000 10258600 11657500 12823250 14921600 16413760 18652000 20517200 23315000 25646500 32058125 32827520 37304000 41034400 46630000 51293000 64116250 74608000 82068800 93260000 102586000 128232500 164137600 186520000 205172000 256465000 373040000 410344000 512930000 820688000 1025860000 2051720000 4103440000