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4444340140 = 2252341713319
BaseRepresentation
bin1000010001110011…
…10011111110101100
3102110201210212112101
410020321303332230
533100222341030
62013001344444
7215064160612
oct41071637654
912421725471
104444340140
111980794589
12a40498124
1355a9b9186
1430237b6b2
151b02967ca
hex108e73fac

4444340140 has 96 divisors (see below), whose sum is σ = 10119997440. Its totient is φ = 1635110400.

The previous prime is 4444340129. The next prime is 4444340183. The reversal of 4444340140 is 410434444.

It is a junction number, because it is equal to n+sod(n) for n = 4444340099 and 4444340108.

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, 1337401 + ... + 1340719.

It is an arithmetic number, because the mean of its divisors is an integer number (105416640).

Almost surely, 24444340140 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 4444340140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059998720).

4444340140 is an abundant number, since it is smaller than the sum of its proper divisors (5675657300).

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

4444340140 is a wasteful number, since it uses less digits than its factorization.

4444340140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4444340140 is about 66665.8843787435. The cubic root of 4444340140 is about 1644.1285209423.

Adding to 4444340140 its reverse (410434444), we get a palindrome (4854774584).

The spelling of 4444340140 in words is "four billion, four hundred forty-four million, three hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 41 46 71 82 92 115 142 164 205 230 284 355 410 460 710 820 943 1420 1633 1886 2911 3266 3319 3772 4715 5822 6532 6638 8165 9430 11644 13276 14555 16330 16595 18860 29110 32660 33190 58220 66380 66953 76337 133906 136079 152674 235649 267812 272158 305348 334765 381685 471298 544316 669530 680395 763370 942596 1178245 1339060 1360790 1526740 2356490 2721580 3129817 4712980 5419927 6259634 9661609 10839854 12519268 15649085 19323218 21679708 27099635 31298170 38646436 48308045 54199270 62596340 96616090 108398540 193232180 222217007 444434014 888868028 1111085035 2222170070 4444340140