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4443914000 = 24534195303
BaseRepresentation
bin1000010001110000…
…01011111100010000
3102110201000012222102
410020320023330100
533100120222000
62012544255532
7215060434331
oct41070137420
912421005872
104443914000
1119805233a9
12a403115a8
1355a89a216
143022aa288
151b02103d5
hex108e0bf10

4443914000 has 80 divisors (see below), whose sum is σ = 10773060480. Its totient is φ = 1772988800.

The previous prime is 4443913997. The next prime is 4443914011. The reversal of 4443914000 is 4193444.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 835349 + ... + 840651.

It is an arithmetic number, because the mean of its divisors is an integer number (134663256).

Almost surely, 24443914000 is an apocalyptic number.

4443914000 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 4443914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386530240).

4443914000 is an abundant number, since it is smaller than the sum of its proper divisors (6329146480).

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

4443914000 is a wasteful number, since it uses less digits than its factorization.

4443914000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5729 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 4443914000 is about 66662.6882146227. The cubic root of 4443914000 is about 1644.0759708599.

The spelling of 4443914000 in words is "four billion, four hundred forty-three million, nine hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 419 500 838 1000 1676 2000 2095 3352 4190 5303 6704 8380 10475 10606 16760 20950 21212 26515 33520 41900 42424 52375 53030 83800 84848 104750 106060 132575 167600 209500 212120 265150 419000 424240 530300 662875 838000 1060600 1325750 2121200 2221957 2651500 4443914 5303000 8887828 10606000 11109785 17775656 22219570 35551312 44439140 55548925 88878280 111097850 177756560 222195700 277744625 444391400 555489250 888782800 1110978500 2221957000 4443914000