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14389539840000 = 21334541317157
BaseRepresentation
bin1101000101100101001101…
…1010010010000000000000
31212221121220202212010210000
43101121103122102000000
53341224234144340000
650334244025440000
73013416132353223
oct321312332220000
955847822763700
1014389539840000
11464862a117a56
121744957940000
13804c0a45b7b0
1437a6593275ba
1519e489340000
hexd1653692000

14389539840000 has 2800 divisors, whose sum is σ = 61643524701528. Its totient is φ = 3312451584000.

The previous prime is 14389539839999. The next prime is 14389539840007. The reversal of 14389539840000 is 4893598341.

14389539840000 is a `hidden beast` number, since 143 + 8 + 9 + 5 + 3 + 98 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 7846093983744 + 6543445856256 = 2801088^2 + 2558016^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14389539840007) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 91653119922 + ... + 91653120078.

Almost surely, 214389539840000 is an apocalyptic number.

14389539840000 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 14389539840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30821762350764).

14389539840000 is an abundant number, since it is smaller than the sum of its proper divisors (47253984861528).

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

14389539840000 is an equidigital number, since it uses as much as digits as its factorization.

14389539840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 14389539840000 in words is "fourteen trillion, three hundred eighty-nine billion, five hundred thirty-nine million, eight hundred forty thousand".