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144313440 = 2535417333
BaseRepresentation
bin10001001101000…
…00110001100000
3101001112212211020
420212200301200
5243421012230
622153045440
73401433615
oct1046406140
9331485736
10144313440
1174508907
12403b6880
1323b8a78b
141524850c
15ca09810
hex89a0c60

144313440 has 96 divisors (see below), whose sum is σ = 465738336. Its totient is φ = 37539840.

The previous prime is 144313397. The next prime is 144313441. The reversal of 144313440 is 44313441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 144313440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144313441) 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, 16014 + ... + 23346.

It is an arithmetic number, because the mean of its divisors is an integer number (4851441).

Almost surely, 2144313440 is an apocalyptic number.

144313440 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 144313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232869168).

144313440 is an abundant number, since it is smaller than the sum of its proper divisors (321424896).

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

144313440 is a wasteful number, since it uses less digits than its factorization.

144313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7392 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 144313440 is about 12013.0529009074. The cubic root of 144313440 is about 524.5283019428.

Adding to 144313440 its reverse (44313441), we get a palindrome (188626881).

Subtracting from 144313440 its reverse (44313441), we obtain a palindrome (99999999).

It can be divided in two parts, 14431 and 3440, that added together give a palindrome (17871).

The spelling of 144313440 in words is "one hundred forty-four million, three hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 3280 3936 4920 6560 7333 9840 14666 19680 21999 29332 36665 43998 58664 73330 87996 109995 117328 146660 175992 219990 234656 293320 300653 351984 439980 586640 601306 703968 879960 901959 1173280 1202612 1503265 1759920 1803918 2405224 3006530 3519840 3607836 4509795 4810448 6013060 7215672 9019590 9620896 12026120 14431344 18039180 24052240 28862688 36078360 48104480 72156720 144313440