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14477705381764 = 22307261972
BaseRepresentation
bin1101001010101101101001…
…1111001000011110000100
31220021001111011212201021201
43102223122133020132010
53344200320034204024
650442544355152244
73022660015165102
oct322533237103604
956231434781251
1014477705381764
114681a62289459
121759a622a5684
1381031b1b7711
14380a2073cc72
151a18e9608744
hexd2ada7c8784

14477705381764 has 27 divisors (see below), whose sum is σ = 25422883324293. Its totient is φ = 7214109049008.

The previous prime is 14477705381759. The next prime is 14477705381773. The reversal of 14477705381764 is 46718350777441.

The square root of 14477705381764 is 3804958.

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

14477705381764 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 only one way, i.e., 5690085452100 + 8787619929664 = 2385390^2 + 2964392^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14477705381696 and 14477705381705.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2336241114 + ... + 2336247310.

Almost surely, 214477705381764 is an apocalyptic number.

14477705381764 is the 3804958-th square number.

It is an amenable number.

14477705381764 is a deficient number, since it is larger than the sum of its proper divisors (10945177942529).

14477705381764 is an frugal number, since it uses more digits than its factorization.

14477705381764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13012 (or 6506 counting only the distinct ones).

The product of its (nonzero) digits is 110638080, while the sum is 64.

Multiplying 14477705381764 by its sum of digits (64), we get a square (926573144432896 = 304396642).

The spelling of 14477705381764 in words is "fourteen trillion, four hundred seventy-seven billion, seven hundred five million, three hundred eighty-one thousand, seven hundred sixty-four".

Divisors: 1 2 4 307 614 1228 6197 12394 24788 94249 188498 376996 1902479 3804958 7609916 38402809 76805618 153611236 584061053 1168122106 2336244212 11789662363 23579324726 47158649452 3619426345441 7238852690882 14477705381764