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44312114024024 = 23711376413033067
BaseRepresentation
bin10100001001101001101111…
…10100001100111001011000
312210220012022102012220220012
422010310313310030321120
521302002202142232044
6234124412033021052
712222305331350510
oct1204646764147130
9183805272186805
1044312114024024
1113134731174540
124b77b993b4788
131b957cab6a442
14ad2a0977a840
1551c9d6b2b59e
hex284d37d0ce58

44312114024024 has 128 divisors (see below), whose sum is σ = 106552406776320. Its totient is φ = 16771641753600.

The previous prime is 44312114024021. The next prime is 44312114024029. The reversal of 44312114024024 is 42042041121344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44312114024021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13093139 + ... + 16126205.

It is an arithmetic number, because the mean of its divisors is an integer number (832440677940).

Almost surely, 244312114024024 is an apocalyptic number.

44312114024024 is a gapful number since it is divisible by the number (44) 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 44312114024024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53276203388160).

44312114024024 is an abundant number, since it is smaller than the sum of its proper divisors (62240292752296).

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

44312114024024 is a wasteful number, since it uses less digits than its factorization.

44312114024024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033769 (or 3033765 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 44312114024024 its reverse (42042041121344), we get a palindrome (86354155145368).

The spelling of 44312114024024 in words is "forty-four trillion, three hundred twelve billion, one hundred fourteen million, twenty-four thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 154 259 296 308 407 518 616 641 814 1036 1282 1628 2072 2564 2849 3256 4487 5128 5698 7051 8974 11396 14102 17948 22792 23717 28204 35896 47434 49357 56408 94868 98714 166019 189736 197428 260887 332038 394856 521774 664076 1043548 1328152 1826209 2087096 3033067 3652418 6066134 7304836 12132268 14609672 21231469 24264536 33363737 42462938 66727474 84925876 112223479 133454948 169851752 224446958 233546159 266909896 448893916 467092318 785564353 897787832 934184636 1234458269 1571128706 1868369272 1944195947 2468916538 3142257412 3888391894 4937833076 6284514824 7776783788 8641207883 9875666152 13609371629 15553567576 17282415766 21386155417 27218743258 34564831532 42772310834 54437486516 69129663064 71935250039 85544621668 108874973032 143870500078 149703087919 171089243336 287741000156 299406175838 503546750273 575482000312 598812351676 791287750429 1007093500546 1197624703352 1582575500858 2014187001092 3165151001716 4028374002184 5539014253003 6330302003432 11078028506006 22156057012012 44312114024024