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14566313429056 = 264770732
BaseRepresentation
bin1101001111110111101111…
…1100000000100001000000
31220120112012102112220021001
43103331323330000201000
53402123302214212211
650551401053141344
73032244553153354
oct323757374004100
956515172486231
1014566313429056
1147065a2207904
121773070a8a854
1381879c81802c
14385028821464
151a3d8367eac1
hexd3f7bf00840

14566313429056 has 21 divisors (see below), whose sum is σ = 28905088799181. Its totient is φ = 7283141448192.

The previous prime is 14566313428963. The next prime is 14566313429077. The reversal of 14566313429056 is 65092431366541.

The square root of 14566313429056 is 3816584.

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

It can be written as a sum of positive squares in only one way, i.e., 1810101160000 + 12756212269056 = 1345400^2 + 3571584^2 .

It is a super-2 number, since 2×145663134290562 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14566313428988 and 14566313429006.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 30294136 + ... + 30771208.

It is an arithmetic number, because the mean of its divisors is an integer number (1376432799961).

Almost surely, 214566313429056 is an apocalyptic number.

14566313429056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14566313429056 is the 3816584-th square number.

It is an amenable number.

14566313429056 is a deficient number, since it is larger than the sum of its proper divisors (14338775370125).

14566313429056 is an frugal number, since it uses more digits than its factorization.

14566313429056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954158 (or 477075 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 55.

The spelling of 14566313429056 in words is "fourteen trillion, five hundred sixty-six billion, three hundred thirteen million, four hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 477073 954146 1908292 3816584 7633168 15266336 30532672 227598647329 455197294658 910394589316 1820789178632 3641578357264 7283156714528 14566313429056