Search a number
-
+
14794390241280 = 2213251331389
BaseRepresentation
bin1101011101001001011001…
…1000000000000000000000
31221101022220111022102110200
43113102112120000000000
53414342402400210110
651244240554525200
73054600532112646
oct327222630000000
957338814272420
1014794390241280
1147942a1669651
1217ab303436800
1383414993a360
143920a3769196
151a9c8198e6c0
hexd7496600000

14794390241280 has 1056 divisors, whose sum is σ = 57160632372480. Its totient is φ = 3515162296320.

The previous prime is 14794390241219. The next prime is 14794390241317. The reversal of 14794390241280 is 8214209349741.

14794390241280 is a `hidden beast` number, since 1 + 4 + 7 + 9 + 4 + 390 + 241 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×147943902412802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38031851326 + ... + 38031851714.

Almost surely, 214794390241280 is an apocalyptic number.

14794390241280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14794390241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28580316186240).

14794390241280 is an abundant number, since it is smaller than the sum of its proper divisors (42366242131200).

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

14794390241280 is an frugal number, since it uses more digits than its factorization.

14794390241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 14794390241280 in words is "fourteen trillion, seven hundred ninety-four billion, three hundred ninety million, two hundred forty-one thousand, two hundred eighty".