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14244364705760 = 255798312938131
BaseRepresentation
bin1100111101001000011001…
…0011000101111111100000
31212102202012021020012110022
43033102012103011333200
53331334424331041020
650143434254453012
73000056431155050
oct317220623057740
955382167205408
1014244364705760
1145a2001587972
1217207a0b04168
137c431267b9b7
14373606689560
1519a7de120625
hexcf4864c5fe0

14244364705760 has 96 divisors (see below), whose sum is σ = 38498912589312. Its totient is φ = 4878813565440.

The previous prime is 14244364705729. The next prime is 14244364705817. The reversal of 14244364705760 is 6750746344241.

14244364705760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5368106 + ... + 7570025.

It is an arithmetic number, because the mean of its divisors is an integer number (401030339472).

Almost surely, 214244364705760 is an apocalyptic number.

14244364705760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14244364705760 is an abundant number, since it is smaller than the sum of its proper divisors (24254547883552).

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

14244364705760 is a wasteful number, since it uses less digits than its factorization.

14244364705760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12939136 (or 12939128 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 53.

The spelling of 14244364705760 in words is "fourteen trillion, two hundred forty-four billion, three hundred sixty-four million, seven hundred five thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 983 1120 1966 3932 4915 6881 7864 9830 13762 15728 19660 27524 31456 34405 39320 55048 68810 78640 110096 137620 157280 220192 275240 550480 1100960 12938131 25876262 51752524 64690655 90566917 103505048 129381310 181133834 207010096 258762620 362267668 414020192 452834585 517525240 724535336 905669170 1035050480 1449070672 1811338340 2070100960 2898141344 3622676680 7245353360 12718182773 14490706720 25436365546 50872731092 63590913865 89027279411 101745462184 127181827730 178054558822 203490924368 254363655460 356109117644 406981848736 445136397055 508727310920 712218235288 890272794110 1017454621840 1424436470576 1780545588220 2034909243680 2848872941152 3561091176440 7122182352880 14244364705760