Search a number
-
+
144044030323440 = 243251317905254087
BaseRepresentation
bin100000110000000111011101…
…010000100110101011110000
3200220000110211010202102102100
4200300013131100212223300
5122340004133230322230
61230204525231420400
742224560231623132
oct4060073520465360
9626013733672370
10144044030323440
1141995803996575
12141a4846384700
13624b3a8569350
14277daa81a3052
15119bdb0be3660
hex8301dd426af0

144044030323440 has 240 divisors, whose sum is σ = 551603904965568. Its totient is φ = 33371286626304.

The previous prime is 144044030323367. The next prime is 144044030323481. The reversal of 144044030323440 is 44323030440441.

144044030323440 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 4 + 4 + 0 + 303 + 2 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 144044030323395 and 144044030323404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452467924 + ... + 452786163.

Almost surely, 2144044030323440 is an apocalyptic number.

144044030323440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144044030323440 is an abundant number, since it is smaller than the sum of its proper divisors (407559874642128).

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

144044030323440 is a wasteful number, since it uses less digits than its factorization.

144044030323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905254136 (or 905254127 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 144044030323440 its reverse (44323030440441), we get a palindrome (188367060763881).

The spelling of 144044030323440 in words is "one hundred forty-four trillion, forty-four billion, thirty million, three hundred twenty-three thousand, four hundred forty".