Search a number
-
+
144888744 = 2337111337163
BaseRepresentation
bin10001010001011…
…01001110101000
3101002122002222210
420220231032220
5244042414434
622213245120
73406351110
oct1050551650
9332562883
10144888744
1174871070
12406337a0
132402c5b0
1415358040
15cabeee9
hex8a2d3a8

144888744 has 256 divisors, whose sum is σ = 502548480. Its totient is φ = 33592320.

The previous prime is 144888703. The next prime is 144888749. The reversal of 144888744 is 447888441.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 144888693 and 144888702.

It is not an unprimeable number, because it can be changed into a prime (144888749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 888807 + ... + 888969.

It is an arithmetic number, because the mean of its divisors is an integer number (1963080).

Almost surely, 2144888744 is an apocalyptic number.

144888744 is a gapful number since it is divisible by the number (14) 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 144888744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251274240).

144888744 is an abundant number, since it is smaller than the sum of its proper divisors (357659736).

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

144888744 is a wasteful number, since it uses less digits than its factorization.

144888744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 236 counting only the distinct ones).

The product of its digits is 917504, while the sum is 48.

The square root of 144888744 is about 12036.9740383537. The cubic root of 144888744 is about 525.2243866225.

It can be divided in two parts, 14488 and 8744, that added together give a palindrome (23232).

The spelling of 144888744 in words is "one hundred forty-four million, eight hundred eighty-eight thousand, seven hundred forty-four".