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144311040 = 2832512527
BaseRepresentation
bin10001001101000…
…00001100000000
3101001112202112100
420212200030000
5243420423130
622153030400
73401423616
oct1046401400
9331482470
10144311040
1174507025
12403b5400
1323b89663
14152476b6
15ca08c60
hex89a0300

144311040 has 108 divisors (see below), whose sum is σ = 499341024. Its totient is φ = 38479872.

The previous prime is 144311017. The next prime is 144311059. The reversal of 144311040 is 40113441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5257 + ... + 17783.

It is an arithmetic number, because the mean of its divisors is an integer number (4623528).

Almost surely, 2144311040 is an apocalyptic number.

144311040 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 144311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249670512).

144311040 is an abundant number, since it is smaller than the sum of its proper divisors (355029984).

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

144311040 is a wasteful number, since it uses less digits than its factorization.

144311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12554 (or 12537 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144311040 is about 12012.9530091481. The cubic root of 144311040 is about 524.5253942097.

Adding to 144311040 its reverse (40113441), we get a palindrome (184424481).

The spelling of 144311040 in words is "one hundred forty-four million, three hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 12527 25054 37581 50108 62635 75162 100216 112743 125270 150324 187905 200432 225486 250540 300648 375810 400864 450972 501080 563715 601296 751620 801728 901944 1002160 1127430 1202592 1503240 1603456 1803888 2004320 2254860 2405184 3006480 3206912 3607776 4008640 4509720 4810368 6012960 7215552 8017280 9019440 9620736 12025920 14431104 16034560 18038880 24051840 28862208 36077760 48103680 72155520 144311040