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4454120144000 = 27531915793323
BaseRepresentation
bin100000011010000111000…
…1111111011110010000000
3120202210212021212020120202
41000310032033323302000
51040434014224102000
613250110004424332
7636541151354402
oct100641617736200
916683767766522
104454120144000
111467a887801aa
125bb2a39a80a8
13264038972807
1411581b0dcb72
157acddd01dd5
hex40d0e3fbc80

4454120144000 has 256 divisors, whose sum is σ = 11731274755200. Its totient is φ = 1677108326400.

The previous prime is 4454120143999. The next prime is 4454120144011. The reversal of 4454120144000 is 4410214544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47681339 + ... + 47774661.

Almost surely, 24454120144000 is an apocalyptic number.

4454120144000 is a gapful number since it is divisible by the number (40) 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 4454120144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5865637377600).

4454120144000 is an abundant number, since it is smaller than the sum of its proper divisors (7277154611200).

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

4454120144000 is a wasteful number, since it uses less digits than its factorization.

4454120144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93528 (or 93506 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 4454120144000 its reverse (4410214544), we get a palindrome (4458530358544).

The spelling of 4454120144000 in words is "four trillion, four hundred fifty-four billion, one hundred twenty million, one hundred forty-four thousand".