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4444141020 = 22351117396091
BaseRepresentation
bin1000010001110010…
…00011010111011100
3102110201102202101120
410020321003113130
533100200003040
62012553210540
7215062401234
oct41071032734
912421382346
104444141020
111980668a20
12a40400a50
1355a949657
14302328cc4
151b02577d0
hex108e435dc

4444141020 has 96 divisors (see below), whose sum is σ = 14373386496. Its totient is φ = 1013990400.

The previous prime is 4444140923. The next prime is 4444141043. The reversal of 4444141020 is 201414444.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186826 + ... + 209265.

It is an arithmetic number, because the mean of its divisors is an integer number (149722776).

Almost surely, 24444141020 is an apocalyptic number.

It is an amenable number.

4444141020 is an abundant number, since it is smaller than the sum of its proper divisors (9929245476).

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

4444141020 is a wasteful number, since it uses less digits than its factorization.

4444141020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396131 (or 396129 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4444141020 is about 66664.3909444915. The cubic root of 4444141020 is about 1644.1039665841.

Adding to 4444141020 its reverse (201414444), we get a palindrome (4645555464).

The spelling of 4444141020 in words is "four billion, four hundred forty-four million, one hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 396091 792182 1188273 1584364 1980455 2376546 3960910 4357001 4753092 5941365 6733547 7921820 8714002 11882730 13071003 13467094 17428004 20200641 21785005 23765460 26142006 26934188 33667735 40401282 43570010 52284012 65355015 67335470 74069017 80802564 87140020 101003205 130710030 134670940 148138034 202006410 222207051 261420060 296276068 370345085 404012820 444414102 740690170 888828204 1111035255 1481380340 2222070510 4444141020