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1444442300 = 225274150329
BaseRepresentation
bin101011000011000…
…0111000010111100
310201122222021022222
41112012013002330
510424234123200
6355155224512
750536362020
oct12606070274
93648867288
101444442300
11681393974
123438a8138
131a033c2b2
14d9ba0380
1586c22d85
hex561870bc

1444442300 has 72 divisors (see below), whose sum is σ = 3669660960. Its totient is φ = 483148800.

The previous prime is 1444442291. The next prime is 1444442317. The reversal of 1444442300 is 32444441.

It is a happy number.

It is a super-3 number, since 3×14444423003 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1444442300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3536 + ... + 53864.

Almost surely, 21444442300 is an apocalyptic number.

1444442300 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 1444442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834830480).

1444442300 is an abundant number, since it is smaller than the sum of its proper divisors (2225218660).

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

1444442300 is a wasteful number, since it uses less digits than its factorization.

1444442300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50391 (or 50384 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 1444442300 is about 38005.8192912612. The cubic root of 1444442300 is about 1130.4032549328.

Adding to 1444442300 its reverse (32444441), we get a palindrome (1476886741).

It can be divided in two parts, 144 and 4442300, that added together give a palindrome (4442444).

The spelling of 1444442300 in words is "one billion, four hundred forty-four million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 1025 1148 1435 2050 2870 4100 5740 7175 14350 28700 50329 100658 201316 251645 352303 503290 704606 1006580 1258225 1409212 1761515 2063489 2516450 3523030 4126978 5032900 7046060 8253956 8807575 10317445 14444423 17615150 20634890 28888846 35230300 41269780 51587225 57777692 72222115 103174450 144444230 206348900 288888460 361110575 722221150 1444442300