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144115240 = 23523383409
BaseRepresentation
bin10001001011100…
…00011000101000
3101001011210221111
420211300120220
5243343141430
622144520104
73366650023
oct1045603050
9331153844
10144115240
1174392a05
1240320034
1323b1b4b9
14151d61ba
15c9bac2a
hex8970628

144115240 has 64 divisors (see below), whose sum is σ = 340070400. Its totient is φ = 54861312.

The previous prime is 144115219. The next prime is 144115243. The reversal of 144115240 is 42511441.

It is not an unprimeable number, because it can be changed into a prime (144115243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352156 + ... + 352564.

It is an arithmetic number, because the mean of its divisors is an integer number (5313600).

Almost surely, 2144115240 is an apocalyptic number.

144115240 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 144115240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170035200).

144115240 is an abundant number, since it is smaller than the sum of its proper divisors (195955160).

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

144115240 is a wasteful number, since it uses less digits than its factorization.

144115240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 144115240 is about 12004.8007063841. The cubic root of 144115240 is about 524.2880629663.

Adding to 144115240 its reverse (42511441), we get a palindrome (186626681).

The spelling of 144115240 in words is "one hundred forty-four million, one hundred fifteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 383 409 460 766 818 920 1532 1636 1915 2045 3064 3272 3830 4090 7660 8180 8809 9407 15320 16360 17618 18814 35236 37628 44045 47035 70472 75256 88090 94070 156647 176180 188140 313294 352360 376280 626588 783235 1253176 1566470 3132940 3602881 6265880 7205762 14411524 18014405 28823048 36028810 72057620 144115240