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44130241100 = 225211474092087
BaseRepresentation
bin101001000110010111…
…100000101001001100
311012220111211112011002
4221012113200221030
51210334320203400
632135000115432
73121405601021
oct510627405114
9135814745132
1044130241100
1117796409340
128677165b78
1342139753ca
1421c8d45548
1512343d6ed5
hexa465e0a4c

44130241100 has 144 divisors (see below), whose sum is σ = 107003151360. Its totient is φ = 15660019200.

The previous prime is 44130241097. The next prime is 44130241117. The reversal of 44130241100 is 114203144.

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

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, 21144257 + ... + 21146343.

It is an arithmetic number, because the mean of its divisors is an integer number (743077440).

Almost surely, 244130241100 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 44130241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53501575680).

44130241100 is an abundant number, since it is smaller than the sum of its proper divisors (62872910260).

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

44130241100 is a wasteful number, since it uses less digits than its factorization.

44130241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 44130241100 its reverse (114203144), we get a palindrome (44244444244).

The spelling of 44130241100 in words is "forty-four billion, one hundred thirty million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 275 409 470 517 550 818 940 1034 1100 1175 1636 2045 2068 2087 2350 2585 4090 4174 4499 4700 5170 8180 8348 8998 10225 10340 10435 12925 17996 19223 20450 20870 22495 22957 25850 38446 40900 41740 44990 45914 51700 52175 76892 89980 91828 96115 98089 104350 112475 114785 192230 196178 208700 211453 224950 229570 384460 392356 422906 449900 459140 480575 490445 573925 845812 853583 961150 980890 1057265 1078979 1147850 1707166 1922300 1961780 2114530 2157958 2295700 2452225 3414332 4229060 4267915 4315916 4904450 5286325 5394895 8535830 9389413 9808900 10572650 10789790 17071660 18778826 21145300 21339575 21579580 26974475 37557652 40118401 42679150 46947065 53948950 80236802 85358300 93894130 107897900 160473604 187788260 200592005 234735325 401184010 441302411 469470650 802368020 882604822 938941300 1002960025 1765209644 2005920050 2206512055 4011840100 4413024110 8826048220 11032560275 22065120550 44130241100