Search a number
-
+
44121004242 = 23721940119697
BaseRepresentation
bin101001000101110100…
…010001100011010010
311012212212110020120020
4221011310101203102
51210324434113432
632134030124310
73121234230300
oct510564214322
9135785406506
1044121004242
111779117a577
128674050696
134211a90003
1421c7a1d270
1512336b022c
hexa45d118d2

44121004242 has 96 divisors (see below), whose sum is σ = 108326393280. Its totient is φ = 11912140800.

The previous prime is 44121004241. The next prime is 44121004253. The reversal of 44121004242 is 24240012144.

It is not an unprimeable number, because it can be changed into a prime (44121004241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2230138 + ... + 2249834.

It is an arithmetic number, because the mean of its divisors is an integer number (1128399930).

Almost surely, 244121004242 is an apocalyptic number.

44121004242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 44121004242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54163196640).

44121004242 is an abundant number, since it is smaller than the sum of its proper divisors (64205389038).

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

44121004242 is a wasteful number, since it uses less digits than its factorization.

44121004242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20136 (or 20129 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 44121004242 its reverse (24240012144), we get a palindrome (68361016386).

The spelling of 44121004242 in words is "forty-four billion, one hundred twenty-one million, four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 401 798 802 931 1203 1862 2406 2793 2807 5586 5614 7619 8421 15238 16842 19649 19697 22857 39298 39394 45714 53333 58947 59091 106666 117894 118182 137879 159999 275758 319998 373331 374243 413637 746662 748486 827274 965153 1119993 1122729 1930306 2239986 2245458 2619701 2895459 5239402 5790918 7859103 7898497 15718206 15796994 18337907 23695491 36675814 47390982 55013721 55289479 110027442 110578958 150071443 165868437 300142886 331736874 387026353 450214329 774052706 900428658 1050500101 1161079059 2101000202 2322158118 3151500303 6303000606 7353500707 14707001414 22060502121 44121004242