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14250245414400 = 293352303713577
BaseRepresentation
bin1100111101011110010011…
…0100001101111000000000
31212110022101002211011011000
43033113210310031320000
53331434000311230100
650150250010452000
73000355236313152
oct317274464157000
955408332734130
1014250245414400
1145a454a040356
121721962434000
137c4a3bb0b258
14373a036c4ad2
1519aa35542900
hexcf5e4d0de00

14250245414400 has 480 divisors, whose sum is σ = 52326404333280. Its totient is φ = 3798534389760.

The previous prime is 14250245414299. The next prime is 14250245414401. The reversal of 14250245414400 is 441454205241.

14250245414400 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 0 + 245 + 4 + 1 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14250245414401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1049580412 + ... + 1049593988.

It is an arithmetic number, because the mean of its divisors is an integer number (109013342361).

Almost surely, 214250245414400 is an apocalyptic number.

14250245414400 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 14250245414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26163202166640).

14250245414400 is an abundant number, since it is smaller than the sum of its proper divisors (38076158918880).

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

14250245414400 is a wasteful number, since it uses less digits than its factorization.

14250245414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16651 (or 16624 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 14250245414400 its reverse (441454205241), we get a palindrome (14691699619641).

The spelling of 14250245414400 in words is "fourteen trillion, two hundred fifty billion, two hundred forty-five million, four hundred fourteen thousand, four hundred".