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44000051311300 = 22527163479805067
BaseRepresentation
bin10100000000100100011110…
…11011011011001011000100
312202210100211020011121010011
422000102033123123023010
521231344101113430200
6233325202230040004
712160620201145360
oct1200221733331304
9182710736147104
1044000051311300
1113024353982677
124b276081a9004
131b72257bba3c6
14ac18845742a0
155148204605ba
hex28048f6db2c4

44000051311300 has 144 divisors (see below), whose sum is σ = 110018918338560. Its totient is φ = 14961861786240.

The previous prime is 44000051311291. The next prime is 44000051311331. The reversal of 44000051311300 is 311315000044.

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, 54251367 + ... + 55056433.

It is an arithmetic number, because the mean of its divisors is an integer number (764020266240).

Almost surely, 244000051311300 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 44000051311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55009459169280).

44000051311300 is an abundant number, since it is smaller than the sum of its proper divisors (66018867027260).

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

44000051311300 is a wasteful number, since it uses less digits than its factorization.

44000051311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805730 (or 805723 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 44000051311300 its reverse (311315000044), we get a palindrome (44311366311344).

The spelling of 44000051311300 in words is "forty-four trillion, fifty-one million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 163 175 326 350 479 652 700 815 958 1141 1630 1916 2282 2395 3260 3353 4075 4564 4790 5705 6706 8150 9580 11410 11975 13412 16300 16765 22820 23950 28525 33530 47900 57050 67060 78077 83825 114100 156154 167650 312308 335300 390385 546539 780770 805067 1093078 1561540 1610134 1951925 2186156 2732695 3220268 3903850 4025335 5465390 5635469 7807700 8050670 10930780 11270938 13663475 16101340 20126675 22541876 27326950 28177345 40253350 54653900 56354690 80506700 112709380 131225921 140886725 262451842 281773450 385627093 524903684 563546900 656129605 771254186 918581447 1312259210 1542508372 1837162894 1928135465 2624518420 2699389651 3280648025 3674325788 3856270930 4592907235 5398779302 6561296050 7712541860 9185814470 9640677325 10797558604 13122592100 13496948255 18371628940 19281354650 22964536175 26993896510 38562709300 45929072350 53987793020 62857216159 67484741275 91858144700 125714432318 134969482550 251428864636 269938965100 314286080795 440000513113 628572161590 880001026226 1257144323180 1571430403975 1760002052452 2200002565565 3142860807950 4400005131130 6285721615900 8800010262260 11000012827825 22000025655650 44000051311300