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2443030144 = 27312632341
BaseRepresentation
bin1001000110011101…
…1010111010000000
320022020222210022221
42101213122322000
520000403431034
61042230340424
7114353261602
oct22147327200
96266883287
102443030144
111044032785
125821ba714
132cc1a3789
14192661172
15e4725bb4
hex919dae80

2443030144 has 64 divisors (see below), whose sum is σ = 5045230080. Its totient is φ = 1177113600.

The previous prime is 2443030129. The next prime is 2443030181. The reversal of 2443030144 is 4410303442.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1042414 + ... + 1044754.

It is an arithmetic number, because the mean of its divisors is an integer number (78831720).

Almost surely, 22443030144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2443030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522615040).

2443030144 is an abundant number, since it is smaller than the sum of its proper divisors (2602199936).

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

2443030144 is a wasteful number, since it uses less digits than its factorization.

2443030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 2443030144 is about 49427.0183604069. The cubic root of 2443030144 is about 1346.8201600466.

Adding to 2443030144 its reverse (4410303442), we get a palindrome (6853333586).

The spelling of 2443030144 in words is "two billion, four hundred forty-three million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 263 496 526 992 1052 1984 2104 2341 3968 4208 4682 8153 8416 9364 16306 16832 18728 32612 33664 37456 65224 72571 74912 130448 145142 149824 260896 290284 299648 521792 580568 615683 1043584 1161136 1231366 2322272 2462732 4644544 4925464 9289088 9850928 19086173 19701856 38172346 39403712 76344692 78807424 152689384 305378768 610757536 1221515072 2443030144