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44112242120 = 23537193389397
BaseRepresentation
bin101001000101010010…
…110110010111001000
311012212020222002012012
4221011102312113020
51210320213221440
632133114235052
73121066604612
oct510522662710
9135766862165
1044112242120
1117787235451
128671125a88
134210012a1b
1421c67bbdb2
151232a2de65
hexa454b65c8

44112242120 has 128 divisors (see below), whose sum is σ = 102985365600. Its totient is φ = 16992239616.

The previous prime is 44112242059. The next prime is 44112242129. The reversal of 44112242120 is 2124221144.

It can be written as a sum of positive squares in 16 ways, for example, as 5524354276 + 38587887844 = 74326^2 + 196438^2 .

It is not an unprimeable number, because it can be changed into a prime (44112242129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111113762 + ... + 111114158.

Almost surely, 244112242120 is an apocalyptic number.

44112242120 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 44112242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51492682800).

44112242120 is an abundant number, since it is smaller than the sum of its proper divisors (58873123480).

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

44112242120 is a wasteful number, since it uses less digits than its factorization.

44112242120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 44112242120 its reverse (2124221144), we get a palindrome (46236463264).

The spelling of 44112242120 in words is "forty-four billion, one hundred twelve million, two hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 193 296 370 386 389 397 740 772 778 794 965 1480 1544 1556 1588 1930 1945 1985 3112 3176 3860 3890 3970 7141 7720 7780 7940 14282 14393 14689 15560 15880 28564 28786 29378 35705 57128 57572 58756 71410 71965 73445 75077 76621 115144 117512 142820 143930 146890 150154 153242 154433 285640 287860 293780 300308 306484 308866 375385 383105 575720 587560 600616 612968 617732 750770 766210 772165 1235464 1501540 1532420 1544330 2777849 2834977 3003080 3064840 3088660 5555698 5669954 5714021 6177320 11111396 11339908 11428042 13889245 14174885 22222792 22679816 22856084 27778490 28349770 28570105 29805569 45712168 55556980 56699540 57140210 59611138 111113960 113399080 114280420 119222276 149027845 228560840 238444552 298055690 596111380 1102806053 1192222760 2205612106 4411224212 5514030265 8822448424 11028060530 22056121060 44112242120