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1444250000 = 245653109
BaseRepresentation
bin101011000010101…
…1000000110010000
310201122121111112202
41112011120012100
510424212000000
6355151142332
750534631254
oct12605300620
93648544482
101444250000
11681272446
123438149a8
131a02a28cb
14d9b50264
1586bd5dd5
hex56158190

1444250000 has 140 divisors (see below), whose sum is σ = 3596438340. Its totient is φ = 561600000.

The previous prime is 1444249999. The next prime is 1444250029. The reversal of 1444250000 is 524441.

It can be written as a sum of positive squares in 14 ways, for example, as 1381460224 + 62789776 = 37168^2 + 7924^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13249946 + ... + 13250054.

Almost surely, 21444250000 is an apocalyptic number.

1444250000 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 1444250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798219170).

1444250000 is an abundant number, since it is smaller than the sum of its proper divisors (2152188340).

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

1444250000 is an frugal number, since it uses more digits than its factorization.

1444250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1444250000 is about 38003.2893313197. The cubic root of 1444250000 is about 1130.3530888138.

Adding to 1444250000 its reverse (524441), we get a palindrome (1444774441).

It can be divided in two parts, 1444 and 250000, that multiplied together give a square (361000000 = 190002).

The spelling of 1444250000 in words is "one billion, four hundred forty-four million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 109 125 200 212 218 250 265 400 424 436 500 530 545 625 848 872 1000 1060 1090 1250 1325 1744 2000 2120 2180 2500 2650 2725 3125 4240 4360 5000 5300 5450 5777 6250 6625 8720 10000 10600 10900 11554 12500 13250 13625 15625 21200 21800 23108 25000 26500 27250 28885 31250 33125 43600 46216 50000 53000 54500 57770 62500 66250 68125 92432 106000 109000 115540 125000 132500 136250 144425 165625 218000 231080 250000 265000 272500 288850 331250 340625 462160 530000 545000 577700 662500 681250 722125 828125 1090000 1155400 1325000 1362500 1444250 1656250 1703125 2310800 2650000 2725000 2888500 3312500 3406250 3610625 5450000 5777000 6625000 6812500 7221250 11554000 13250000 13625000 14442500 18053125 27250000 28885000 36106250 57770000 72212500 90265625 144425000 180531250 288850000 361062500 722125000 1444250000