Search a number
-
+
14473877496960 = 2735721447106321
BaseRepresentation
bin1101001010011111011001…
…0100111010010010000000
31220020200121102001000111110
43102213312110322102000
53344120000114400320
650441112454243320
73022463114540100
oct322476624722200
956220542030443
1014473877496960
1146803785719a2
121759174356540
1380cb5b13901b
1438077a1cd200
151a17735305e0
hexd29f653a480

14473877496960 has 384 divisors, whose sum is σ = 53705402663040. Its totient is φ = 3305997434880.

The previous prime is 14473877496893. The next prime is 14473877496977. The reversal of 14473877496960 is 6969477837441.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136080600 + ... + 136186920.

It is an arithmetic number, because the mean of its divisors is an integer number (139857819435).

Almost surely, 214473877496960 is an apocalyptic number.

14473877496960 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 14473877496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26852701331520).

14473877496960 is an abundant number, since it is smaller than the sum of its proper divisors (39231525166080).

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

14473877496960 is a wasteful number, since it uses less digits than its factorization.

14473877496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107804 (or 107785 counting only the distinct ones).

The product of its (nonzero) digits is 1536288768, while the sum is 75.

The spelling of 14473877496960 in words is "fourteen trillion, four hundred seventy-three billion, eight hundred seventy-seven million, four hundred ninety-six thousand, nine hundred sixty".