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144440000 = 265423157
BaseRepresentation
bin10001001101111…
…11101011000000
3101001210022102122
420212333223000
5243434040000
622155503412
73402501605
oct1046775300
9331708378
10144440000
1174594a01
1240457b68
1323c03273
141527c6ac
15ca32085
hex89bfac0

144440000 has 140 divisors (see below), whose sum is σ = 376117104. Its totient is φ = 54912000.

The previous prime is 144439993. The next prime is 144440011. The reversal of 144440000 is 44441.

144440000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 919922 + ... + 920078.

Almost surely, 2144440000 is an apocalyptic number.

144440000 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 144440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188058552).

144440000 is an abundant number, since it is smaller than the sum of its proper divisors (231677104).

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

144440000 is an equidigital number, since it uses as much as digits as its factorization.

144440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 144440000 is about 12018.3193500589. The cubic root of 144440000 is about 524.6815907504.

Adding to 144440000 its reverse (44441), we get a palindrome (144484441).

It can be divided in two parts, 1444 and 40000, that multiplied together give a square (57760000 = 76002).

The spelling of 144440000 in words is "one hundred forty-four million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 157 160 184 200 230 250 314 320 368 400 460 500 575 625 628 736 785 800 920 1000 1150 1250 1256 1472 1570 1600 1840 2000 2300 2500 2512 2875 3140 3611 3680 3925 4000 4600 5000 5024 5750 6280 7222 7360 7850 8000 9200 10000 10048 11500 12560 14375 14444 15700 18055 18400 19625 20000 23000 25120 28750 28888 31400 36110 36800 39250 40000 46000 50240 57500 57776 62800 72220 78500 90275 92000 98125 115000 115552 125600 144440 157000 180550 184000 196250 230000 231104 251200 288880 314000 361100 392500 451375 460000 577760 628000 722200 785000 902750 920000 1155520 1256000 1444400 1570000 1805500 2256875 2888800 3140000 3611000 4513750 5777600 6280000 7222000 9027500 14444000 18055000 28888000 36110000 72220000 144440000