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4444023000 = 233533174673
BaseRepresentation
bin1000010001110001…
…00110100011011000
3102110201012202111110
410020320212203120
533100132214000
62012550500320
7215061400164
oct41070464330
912421182443
104444023000
11198059828a
12a403646a0
1355a907a11
143022d7ca4
151b0232850
hex108e268d8

4444023000 has 128 divisors (see below), whose sum is σ = 13912067520. Its totient is φ = 1181081600.

The previous prime is 4444022951. The next prime is 4444023013. The reversal of 4444023000 is 3204444.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 948664 + ... + 953336.

Almost surely, 24444023000 is an apocalyptic number.

4444023000 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 4444023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956033760).

4444023000 is an abundant number, since it is smaller than the sum of its proper divisors (9468044520).

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

4444023000 is a wasteful number, since it uses less digits than its factorization.

4444023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4444023000 is about 66663.5057583983. The cubic root of 4444023000 is about 1644.0894126754.

Adding to 4444023000 its reverse (3204444), we get a palindrome (4447227444).

The spelling of 4444023000 in words is "four billion, four hundred forty-four million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 317 375 500 600 634 750 951 1000 1268 1500 1585 1902 2536 3000 3170 3804 4673 4755 6340 7608 7925 9346 9510 12680 14019 15850 18692 19020 23365 23775 28038 31700 37384 38040 39625 46730 47550 56076 63400 70095 79250 93460 95100 112152 116825 118875 140190 158500 186920 190200 233650 237750 280380 317000 350475 467300 475500 560760 584125 700950 934600 951000 1168250 1401900 1481341 1752375 2336500 2803800 2962682 3504750 4444023 4673000 5925364 7009500 7406705 8888046 11850728 14019000 14813410 17776092 22220115 29626820 35552184 37033525 44440230 59253640 74067050 88880460 111100575 148134100 177760920 185167625 222201150 296268200 370335250 444402300 555502875 740670500 888804600 1111005750 1481341000 2222011500 4444023000