Search a number
-
+
144003361320 = 23325713171931439
BaseRepresentation
bin1000011000011101000…
…1001110101000101000
3111202200211201201001200
42012013101032220220
54324404330030240
6150053151444200
713255352242440
oct2060721165050
9452624651050
10144003361320
1156087163815
1223aaa526660
131076c0bc650
146d811b9120
153b2c40c930
hex218744ea28

144003361320 has 1536 divisors, whose sum is σ = 664215552000. Its totient is φ = 26157219840.

The previous prime is 144003361319. The next prime is 144003361373. The reversal of 144003361320 is 23163300441.

144003361320 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 0 + 336 + 1 + 320 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 328025661 + ... + 328026099.

It is an arithmetic number, because the mean of its divisors is an integer number (432432000).

Almost surely, 2144003361320 is an apocalyptic number.

144003361320 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 144003361320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332107776000).

144003361320 is an abundant number, since it is smaller than the sum of its proper divisors (520212190680).

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

144003361320 is a wasteful number, since it uses less digits than its factorization.

144003361320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 144003361320 its reverse (23163300441), we get a palindrome (167166661761).

The spelling of 144003361320 in words is "one hundred forty-four billion, three million, three hundred sixty-one thousand, three hundred twenty".