Search a number
-
+
14152455054400 = 2652132232275607
BaseRepresentation
bin1100110111110010000000…
…0011100110010001000000
31212002221221221000011010211
43031330200003212101000
53323333211443220100
650033314220003504
72660324013053605
oct315744003462100
955087857004124
1014152455054400
114567027a19513
121706a10690594
137b8756026c00
1436cda7cd06ac
151982102cb1ba
hexcdf200e6440

14152455054400 has 252 divisors, whose sum is σ = 39348229712832. Its totient is φ = 4998323066880.

The previous prime is 14152455054373. The next prime is 14152455054497. The reversal of 14152455054400 is 445055425141.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5081397 + ... + 7357003.

Almost surely, 214152455054400 is an apocalyptic number.

14152455054400 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 14152455054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19674114856416).

14152455054400 is an abundant number, since it is smaller than the sum of its proper divisors (25195774658432).

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

14152455054400 is a wasteful number, since it uses less digits than its factorization.

14152455054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275678 (or 2275650 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 40.

The spelling of 14152455054400 in words is "fourteen trillion, one hundred fifty-two billion, four hundred fifty-five million, fifty-four thousand, four hundred".