Search a number
-
+
144044304444040 = 235711139737087733
BaseRepresentation
bin100000110000000111101101…
…100110010010101010001000
3200220000111112020120012012011
4200300013231212102222020
5122340010213414202130
61230205012343025304
742224600100615430
oct4060075546225210
9626014466505164
10144044304444040
11419959346a4420
12141a490213b234
13624b4202a58a0
14277dad275b2c0
15119bdc9cde52a
hex8301ed992a88

144044304444040 has 256 divisors, whose sum is σ = 439640965854720. Its totient is φ = 41016064573440.

The previous prime is 144044304444023. The next prime is 144044304444059. The reversal of 144044304444040 is 40444403440441.

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

It is a junction number, because it is equal to n+sod(n) for n = 144044304443984 and 144044304444002.

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 63 ways as a sum of consecutive naturals, for example, 14659987 + ... + 22427746.

It is an arithmetic number, because the mean of its divisors is an integer number (1717347522870).

Almost surely, 2144044304444040 is an apocalyptic number.

144044304444040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144044304444040 is an abundant number, since it is smaller than the sum of its proper divisors (295596661410680).

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

144044304444040 is a wasteful number, since it uses less digits than its factorization.

144044304444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37087872 (or 37087868 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 40.

Adding to 144044304444040 its reverse (40444403440441), we get a palindrome (184488707884481).

The spelling of 144044304444040 in words is "one hundred forty-four trillion, forty-four billion, three hundred four million, four hundred forty-four thousand, forty".