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44411301343400 = 23528312832085253
BaseRepresentation
bin10100001100100010011111…
…10101110011000010101000
312211020200022221122210220112
422012101033311303002220
521310113321120442100
6234242134205313452
712232416306556655
oct1206211765630250
9184220287583815
1044411301343400
11131727aa898662
124b9325ab65888
131ba1c771a7274
14ad77388d0c2c
1552038e836b35
hex28644fd730a8

44411301343400 has 96 divisors (see below), whose sum is σ = 104581827272160. Its totient is φ = 17536802499840.

The previous prime is 44411301343399. The next prime is 44411301343457. The reversal of 44411301343400 is 434310311444.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20255174 + ... + 22340426.

It is an arithmetic number, because the mean of its divisors is an integer number (1089394034085).

Almost surely, 244411301343400 is an apocalyptic number.

44411301343400 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 44411301343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52290913636080).

44411301343400 is an abundant number, since it is smaller than the sum of its proper divisors (60170525928760).

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

44411301343400 is a wasteful number, since it uses less digits than its factorization.

44411301343400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086635 (or 2086626 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 44411301343400 its reverse (434310311444), we get a palindrome (44845611654844).

The spelling of 44411301343400 in words is "forty-four trillion, four hundred eleven billion, three hundred one million, three hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 166 200 332 415 664 830 1283 1660 2075 2566 3320 4150 5132 6415 8300 10264 12830 16600 25660 32075 51320 64150 106489 128300 212978 256600 425956 532445 851912 1064890 2085253 2129780 2662225 4170506 4259560 5324450 8341012 10426265 10648900 16682024 20852530 21297800 41705060 52131325 83410120 104262650 173075999 208525300 346151998 417050600 692303996 865379995 1384607992 1730759990 2675379599 3461519980 4326899975 5350759198 6923039960 8653799950 10701518396 13376897995 17307599900 21403036792 26753795990 34615199800 53507591980 66884489975 107015183960 133768979950 222056506717 267537959900 444113013434 535075919800 888226026868 1110282533585 1776452053736 2220565067170 4441130134340 5551412667925 8882260268680 11102825335850 22205650671700 44411301343400