Search a number
-
+
14493310647816 = 233711132115475227
BaseRepresentation
bin1101001011100111110010…
…1000011111111000001000
31220022112202201221100220110
43102321330220133320020
53344424300011212231
650454045054154320
73024051514565430
oct322717450377010
956275681840813
1014493310647816
114688640025850
121760a984b29a0
13811937254260
143816a10bb2c0
151a200e62b046
hexd2e7ca1fe08

14493310647816 has 512 divisors, whose sum is σ = 48978165841920. Its totient is φ = 3451467801600.

The previous prime is 14493310647797. The next prime is 14493310647821. The reversal of 14493310647816 is 61874601339441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2772775395 + ... + 2772780621.

It is an arithmetic number, because the mean of its divisors is an integer number (95660480160).

Almost surely, 214493310647816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14493310647816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24489082920960).

14493310647816 is an abundant number, since it is smaller than the sum of its proper divisors (34484855194104).

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

14493310647816 is a wasteful number, since it uses less digits than its factorization.

14493310647816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6025 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 14493310647816 in words is "fourteen trillion, four hundred ninety-three billion, three hundred ten million, six hundred forty-seven thousand, eight hundred sixteen".