Search a number
-
+
144316040 = 23511431761
BaseRepresentation
bin10001001101000…
…01011010001000
3101001120000101112
420212201122020
5243421103130
622153105452
73401444321
oct1046413210
9331500345
10144316040
117450a860
12403b8288
1323b8ba0b
1415249448
15ca0a495
hex89a1688

144316040 has 64 divisors (see below), whose sum is σ = 355518720. Its totient is φ = 52288000.

The previous prime is 144316033. The next prime is 144316103. The reversal of 144316040 is 40613441.

It is a junction number, because it is equal to n+sod(n) for n = 144315997 and 144316015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189260 + ... + 190020.

It is an arithmetic number, because the mean of its divisors is an integer number (5554980).

Almost surely, 2144316040 is an apocalyptic number.

144316040 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 144316040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177759360).

144316040 is an abundant number, since it is smaller than the sum of its proper divisors (211202680).

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

144316040 is a wasteful number, since it uses less digits than its factorization.

144316040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 144316040 is about 12013.1611160427. The cubic root of 144316040 is about 524.5314519506.

Adding to 144316040 its reverse (40613441), we get a palindrome (184929481).

The spelling of 144316040 in words is "one hundred forty-four million, three hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 431 440 761 862 1522 1724 2155 3044 3448 3805 4310 4741 6088 7610 8371 8620 9482 15220 16742 17240 18964 23705 30440 33484 37928 41855 47410 66968 83710 94820 167420 189640 327991 334840 655982 1311964 1639955 2623928 3279910 3607901 6559820 7215802 13119640 14431604 18039505 28863208 36079010 72158020 144316040