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44114131100 = 225213235772557
BaseRepresentation
bin101001000101011010…
…000011100010011100
311012212101112001101102
4221011122003202130
51210321204143400
632133222532232
73121121633054
oct510532034234
9135771461342
1044114131100
1117788305696
128671897078
134210524770
1421c6b50564
151232ca39d5
hexa4568389c

44114131100 has 144 divisors (see below), whose sum is σ = 107802141888. Its totient is φ = 15547023360.

The previous prime is 44114131073. The next prime is 44114131111. The reversal of 44114131100 is 113141144.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 17251022 + ... + 17253578.

Almost surely, 244114131100 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 44114131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53901070944).

44114131100 is an abundant number, since it is smaller than the sum of its proper divisors (63688010788).

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

44114131100 is a wasteful number, since it uses less digits than its factorization.

44114131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3177 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 44114131100 its reverse (113141144), we get a palindrome (44227272244).

The spelling of 44114131100 in words is "forty-four billion, one hundred fourteen million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 577 598 650 1150 1154 1196 1300 1495 2300 2308 2557 2885 2990 5114 5770 5980 7475 7501 10228 11540 12785 13271 14425 14950 15002 25570 26542 28850 29900 30004 33241 37505 51140 53084 57700 58811 63925 66355 66482 75010 117622 127850 132710 132964 150020 166205 172523 187525 235244 255700 265420 294055 331775 332410 345046 375050 588110 663550 664820 690092 750100 764543 831025 862615 1176220 1327100 1470275 1475389 1529086 1662050 1725230 2940550 2950778 3058172 3324100 3450460 3822715 4313075 5881100 5901556 7376945 7645430 8626150 14753890 15290860 17252300 19113575 19180057 29507780 33933947 36884725 38227150 38360114 67867894 73769450 76454300 76720228 95900285 135735788 147538900 169669735 191800570 339339470 383601140 441141311 479501425 678678940 848348675 882282622 959002850 1696697350 1764565244 1918005700 2205706555 3393394700 4411413110 8822826220 11028532775 22057065550 44114131100