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44144314110 = 232513337111959
BaseRepresentation
bin101001000111001101…
…001100011011111110
311012221111022111200200
4221013031030123332
51210401421022420
632140221504330
73121636323141
oct510715143376
9135844274620
1044144314110
11177a3350626
12867ba120a6
134216861b30
1421cab6a058
151235766b90
hexa4734c6fe

44144314110 has 96 divisors (see below), whose sum is σ = 123971964480. Its totient is φ = 10833951744.

The previous prime is 44144314099. The next prime is 44144314129. The reversal of 44144314110 is 1141344144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338311 + ... + 450269.

It is an arithmetic number, because the mean of its divisors is an integer number (1291374630).

Almost surely, 244144314110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44144314110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61985982240).

44144314110 is an abundant number, since it is smaller than the sum of its proper divisors (79827650370).

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

44144314110 is a wasteful number, since it uses less digits than its factorization.

44144314110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112322 (or 112319 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 44144314110 its reverse (1141344144), we get a palindrome (45285658254).

The spelling of 44144314110 in words is "forty-four billion, one hundred forty-four million, three hundred fourteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 337 390 585 674 1011 1170 1685 2022 3033 3370 4381 5055 6066 8762 10110 13143 15165 21905 26286 30330 39429 43810 65715 78858 111959 131430 197145 223918 335877 394290 559795 671754 1007631 1119590 1455467 1679385 2015262 2910934 3358770 4366401 5038155 7277335 8732802 10076310 13099203 14554670 21832005 26198406 37730183 43664010 65496015 75460366 113190549 130992030 188650915 226381098 339571647 377301830 490492379 565952745 679143294 980984758 1131905490 1471477137 1697858235 2452461895 2942954274 3395716470 4414431411 4904923790 7357385685 8828862822 14714771370 22072157055 44144314110