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12044114034000 = 243535934022921
BaseRepresentation
bin1010111101000011110100…
…1000110111110101010000
31120122101222000102012222120
42233100331020313311100
53034312321143042000
641340553430534240
72352105242062356
oct257207510676520
946571860365876
1012044114034000
113923975423544
121426291507380
136949a7bac099
142d8d1c7057d6
1515d465ba56a0
hexaf43d237d50

12044114034000 has 160 divisors (see below), whose sum is σ = 39488364190080. Its totient is φ = 3157326976000.

The previous prime is 12044114033929. The next prime is 12044114034013. The reversal of 12044114034000 is 43041144021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16657461 + ... + 17365460.

It is an arithmetic number, because the mean of its divisors is an integer number (246802276188).

Almost surely, 212044114034000 is an apocalyptic number.

12044114034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12044114034000 is an abundant number, since it is smaller than the sum of its proper divisors (27444250156080).

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

12044114034000 is a wasteful number, since it uses less digits than its factorization.

12044114034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34023006 (or 34022990 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12044114034000 its reverse (43041144021), we get a palindrome (12087155178021).

The spelling of 12044114034000 in words is "twelve trillion, forty-four billion, one hundred fourteen million, thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 59 60 75 80 100 118 120 125 150 177 200 236 240 250 295 300 354 375 400 472 500 590 600 708 750 885 944 1000 1180 1200 1416 1475 1500 1770 2000 2360 2832 2950 3000 3540 4425 4720 5900 6000 7080 7375 8850 11800 14160 14750 17700 22125 23600 29500 35400 44250 59000 70800 88500 118000 177000 354000 34022921 68045842 102068763 136091684 170114605 204137526 272183368 340229210 408275052 510343815 544366736 680458420 816550104 850573025 1020687630 1360916840 1633100208 1701146050 2007352339 2041375260 2551719075 2721833680 3402292100 4014704678 4082750520 4252865125 5103438150 6022057017 6804584200 8029409356 8165501040 8505730250 10036761695 10206876300 12044114034 12758595375 13609168400 16058818712 17011460500 20073523390 20413752600 24088228068 25517190750 30110285085 32117637424 34022921000 40147046780 40827505200 48176456136 50183808475 51034381500 60220570170 68045842000 80294093560 96352912272 100367616950 102068763000 120441140340 150551425425 160588187120 200735233900 204137526000 240882280680 250919042375 301102850850 401470467800 481764561360 501838084750 602205701700 752757127125 802940935600 1003676169500 1204411403400 1505514254250 2007352339000 2408822806800 3011028508500 4014704678000 6022057017000 12044114034000