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144113440 = 2551575737
BaseRepresentation
bin10001001011011…
…11111100100000
3101001011201110211
420211233330200
5243343112230
622144503504
73366641542
oct1045577440
9331151424
10144113440
1174391619
124031ab94
1323b1a733
14151d5692
15c9ba42a
hex896ff20

144113440 has 48 divisors (see below), whose sum is σ = 342696312. Its totient is φ = 57268224.

The previous prime is 144113429. The next prime is 144113477. The reversal of 144113440 is 44311441.

144113440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 53406864 + 90706576 = 7308^2 + 9524^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22252 + ... + 27988.

Almost surely, 2144113440 is an apocalyptic number.

144113440 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 144113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171348156).

144113440 is an abundant number, since it is smaller than the sum of its proper divisors (198582872).

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

144113440 is a wasteful number, since it uses less digits than its factorization.

144113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5909 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 144113440 is about 12004.7257361424. The cubic root of 144113440 is about 524.2858801705.

Adding to 144113440 its reverse (44311441), we get a palindrome (188424881).

The spelling of 144113440 in words is "one hundred forty-four million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 628 785 1256 1570 2512 3140 5024 5737 6280 11474 12560 22948 25120 28685 45896 57370 91792 114740 183584 229480 458960 900709 917920 1801418 3602836 4503545 7205672 9007090 14411344 18014180 28822688 36028360 72056720 144113440