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14338748880 = 2432519914929
BaseRepresentation
bin11010101101010011…
…11111000111010000
31101000021212220200100
431112221333013100
5213331204431010
610330453052400
71015220232411
oct152651770720
941007786610
1014338748880
116098939295
122942027100
131476855bc1
149a0495808
1558dc482c0
hex356a7f1d0

14338748880 has 60 divisors (see below), whose sum is σ = 48154300740. Its totient is φ = 3823666176.

The previous prime is 14338748869. The next prime is 14338748939. The reversal of 14338748880 is 8884783341.

It is a happy number.

14338748880 is a `hidden beast` number, since 1 + 4 + 3 + 3 + 87 + 488 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5326664256 + 9012084624 = 72984^2 + 94932^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9956745 + ... + 9958184.

It is an arithmetic number, because the mean of its divisors is an integer number (802571679).

Almost surely, 214338748880 is an apocalyptic number.

14338748880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14338748880 is an abundant number, since it is smaller than the sum of its proper divisors (33815551860).

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

14338748880 is a wasteful number, since it uses less digits than its factorization.

14338748880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19914948 (or 19914939 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 14338748880 in words is "fourteen billion, three hundred thirty-eight million, seven hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 19914929 39829858 59744787 79659716 99574645 119489574 159319432 179234361 199149290 238979148 298723935 318638864 358468722 398298580 477958296 597447870 716937444 796597160 896171805 955916592 1194895740 1433874888 1593194320 1792343610 2389791480 2867749776 3584687220 4779582960 7169374440 14338748880