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14406335366016 = 273113410590759
BaseRepresentation
bin1101000110100011110010…
…0000001000001110000000
31220000020021021121021010010
43101220330200020032000
53342013133323203031
650350102404104520
73014552264104326
oct321507440101600
956006237537103
1014406335366016
114654768818270
121748064695140
13806685c8c379
1437b3adbbbd16
1519eb1dac7246
hexd1a3c808380

14406335366016 has 64 divisors (see below), whose sum is σ = 41745630902400. Its totient is φ = 4365556170240.

The previous prime is 14406335365973. The next prime is 14406335366029. The reversal of 14406335366016 is 61066353360441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1705291156 + ... + 1705299603.

It is an arithmetic number, because the mean of its divisors is an integer number (652275482850).

Almost surely, 214406335366016 is an apocalyptic number.

14406335366016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14406335366016 is an abundant number, since it is smaller than the sum of its proper divisors (27339295536384).

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

14406335366016 is a wasteful number, since it uses less digits than its factorization.

14406335366016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410590787 (or 3410590775 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 14406335366016 in words is "fourteen trillion, four hundred six billion, three hundred thirty-five million, three hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 3410590759 6821181518 10231772277 13642363036 20463544554 27284726072 37516498349 40927089108 54569452144 75032996698 81854178216 109138904288 112549495047 150065993396 163708356432 218277808576 225098990094 300131986792 327416712864 436555617152 450197980188 600263973584 654833425728 900395960376 1200527947168 1309666851456 1800791920752 2401055894336 3601583841504 4802111788672 7203167683008 14406335366016