Search a number
-
+
4244303314000 = 24532819752803
BaseRepresentation
bin111101110000110100001…
…100001111110001010000
3120000202021210110220222001
4331300310030033301100
51024014313122022000
613005450033523344
7615432535625641
oct75606414176120
916022253426861
104244303314000
111396aa9632362
125866a8713554
1324a30b8a9bb9
141095d53396c8
157560db0246a
hex3dc3430fc50

4244303314000 has 80 divisors (see below), whose sum is σ = 10266379606080. Its totient is φ = 1697116828800.

The previous prime is 4244303313979. The next prime is 4244303314021. The reversal of 4244303314000 is 4133034424.

It is an interprime number because it is at equal distance from previous prime (4244303313979) and next prime (4244303314021).

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

It is a super-2 number, since 2×42443033140002 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4244303314000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5261599 + ... + 6014401.

It is an arithmetic number, because the mean of its divisors is an integer number (128329745076).

Almost surely, 24244303314000 is an apocalyptic number.

4244303314000 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 4244303314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133189803040).

4244303314000 is an abundant number, since it is smaller than the sum of its proper divisors (6022076292080).

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

4244303314000 is a wasteful number, since it uses less digits than its factorization.

4244303314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755645 (or 755629 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4244303314000 its reverse (4133034424), we get a palindrome (4248436348424).

The spelling of 4244303314000 in words is "four trillion, two hundred forty-four billion, three hundred three million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2819 5638 11276 14095 22552 28190 45104 56380 70475 112760 140950 225520 281900 352375 563800 704750 752803 1127600 1409500 1505606 2819000 3011212 3764015 5638000 6022424 7528030 12044848 15056060 18820075 30112120 37640150 60224240 75280300 94100375 150560600 188200750 301121200 376401500 752803000 1505606000 2122151657 4244303314 8488606628 10610758285 16977213256 21221516570 33954426512 42443033140 53053791425 84886066280 106107582850 169772132560 212215165700 265268957125 424430331400 530537914250 848860662800 1061075828500 2122151657000 4244303314000