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244153420140 = 223572474194217
BaseRepresentation
bin1110001101100010101…
…1011000100101101100
3212100012110201211022110
43203120223120211230
513000011233421030
6304055035044020
723432230554300
oct3433053304554
9770173654273
10244153420140
11945aa271273
123b39a5a0610
131a03ca1b996
14bb6213bd00
15653e8d91b0
hex38d8ad896c

244153420140 has 288 divisors, whose sum is σ = 814294010880. Its totient is φ = 54475846656.

The previous prime is 244153420129. The next prime is 244153420151. The reversal of 244153420140 is 41024351442.

244153420140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (244153420129) and next prime (244153420151).

It is a super-2 number, since 2×2441534201402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 244153420098 and 244153420107.

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 95 ways as a sum of consecutive naturals, for example, 57895312 + ... + 57899528.

It is an arithmetic number, because the mean of its divisors is an integer number (2827409760).

Almost surely, 2244153420140 is an apocalyptic number.

244153420140 is a gapful number since it is divisible by the number (20) 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 244153420140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407147005440).

244153420140 is an abundant number, since it is smaller than the sum of its proper divisors (570140590740).

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

244153420140 is a wasteful number, since it uses less digits than its factorization.

244153420140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4709 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 244153420140 its reverse (41024351442), we get a palindrome (285177771582).

The spelling of 244153420140 in words is "two hundred forty-four billion, one hundred fifty-three million, four hundred twenty thousand, one hundred forty".