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1444444300 = 2252132394649
BaseRepresentation
bin101011000011000…
…0111100010001100
310201122222101002001
41112012013202030
510424234204200
6355155242044
750536400605
oct12606074214
93648871061
101444444300
11681395422
123438a9324
131a0340190
14d9ba0dac
1586c2376a
hex5618788c

1444444300 has 72 divisors (see below), whose sum is σ = 3390408000. Its totient is φ = 530987520.

The previous prime is 1444444273. The next prime is 1444444303. The reversal of 1444444300 is 34444441.

It is not an unprimeable number, because it can be changed into a prime (1444444303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308376 + ... + 313024.

It is an arithmetic number, because the mean of its divisors is an integer number (47089000).

Almost surely, 21444444300 is an apocalyptic number.

1444444300 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 1444444300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695204000).

1444444300 is an abundant number, since it is smaller than the sum of its proper divisors (1945963700).

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

1444444300 is a wasteful number, since it uses less digits than its factorization.

1444444300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 1444444300 is about 38005.8456030122. The cubic root of 1444444300 is about 1130.4037766579.

Adding to 1444444300 its reverse (34444441), we get a palindrome (1478888741).

It can be divided in two parts, 144 and 4444300, that added together give a palindrome (4444444).

The spelling of 1444444300 in words is "one billion, four hundred forty-four million, four hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 239 260 325 478 650 956 1195 1300 2390 3107 4649 4780 5975 6214 9298 11950 12428 15535 18596 23245 23900 31070 46490 60437 62140 77675 92980 116225 120874 155350 232450 241748 302185 310700 464900 604370 1111111 1208740 1510925 2222222 3021850 4444444 5555555 6043700 11111110 14444443 22222220 27777775 28888886 55555550 57777772 72222215 111111100 144444430 288888860 361111075 722222150 1444444300