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14049752890000 = 2454374832
BaseRepresentation
bin1100110001110011011010…
…0001111011101010010000
31211202010212102202122012011
43030130312201323222100
53320142343214440000
645514211204112304
72650026655056022
oct314346641735220
954663772678164
1014049752890000
1145275152592a3
1216aab29995694
137abb69753829
14368024036012
151956edc302ba
hexcc73687ba90

14049752890000 has 75 divisors (see below), whose sum is σ = 34016764247103. Its totient is φ = 5619751224000.

The previous prime is 14049752889959. The next prime is 14049752890013. The reversal of 14049752890000 is 9825794041.

The square root of 14049752890000 is 3748300.

It is a perfect power (a square), and thus also a powerful number.

14049752890000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1101500626576 + 12948252263424 = 1049524^2 + 3598368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 374811259 + ... + 374848741.

Almost surely, 214049752890000 is an apocalyptic number.

14049752890000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14049752890000 is the 3748300-th square number.

It is an amenable number.

14049752890000 is an abundant number, since it is smaller than the sum of its proper divisors (19967011357103).

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

14049752890000 is an frugal number, since it uses more digits than its factorization.

14049752890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74994 (or 37490 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 14049752890000 by its sum of digits (49), we get a square (688437891610000 = 262381002).

The spelling of 14049752890000 in words is "fourteen trillion, forty-nine billion, seven hundred fifty-two million, eight hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 37483 74966 149932 187415 299864 374830 599728 749660 937075 1499320 1874150 2998640 3748300 4685375 7496600 9370750 14993200 18741500 23426875 37483000 46853750 74966000 93707500 187415000 374830000 1404975289 2809950578 5619901156 7024876445 11239802312 14049752890 22479604624 28099505780 35124382225 56199011560 70248764450 112398023120 140497528900 175621911125 280995057800 351243822250 561990115600 702487644500 878109555625 1404975289000 1756219111250 2809950578000 3512438222500 7024876445000 14049752890000