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2120143344 = 2431118792137
BaseRepresentation
bin111111001011110…
…1101000111110000
312110202102102220120
41332113231013300
513320224041334
6550214010240
7103352630634
oct17627550760
95422372816
102120143344
11998847090
124b2046980
1327a3215b7
14161810dc4
15c61e5949
hex7e5ed1f0

2120143344 has 80 divisors (see below), whose sum is σ = 5980926720. Its totient is φ = 641825280.

The previous prime is 2120143309. The next prime is 2120143391. The reversal of 2120143344 is 4433410212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 991044 + ... + 993180.

It is an arithmetic number, because the mean of its divisors is an integer number (74761584).

Almost surely, 22120143344 is an apocalyptic number.

2120143344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2120143344 is an abundant number, since it is smaller than the sum of its proper divisors (3860783376).

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

2120143344 is a wasteful number, since it uses less digits than its factorization.

2120143344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 4032 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2120143344 is about 46045.0143229427. The cubic root of 2120143344 is about 1284.6606105568.

Adding to 2120143344 its reverse (4433410212), we get a palindrome (6553553556).

The spelling of 2120143344 in words is "two billion, one hundred twenty million, one hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1879 2137 3758 4274 5637 6411 7516 8548 11274 12822 15032 17096 20669 22548 23507 25644 30064 34192 41338 45096 47014 51288 62007 70521 82676 90192 94028 102576 124014 141042 165352 188056 248028 282084 330704 376112 496056 564168 992112 1128336 4015423 8030846 12046269 16061692 24092538 32123384 44169653 48185076 64246768 88339306 96370152 132508959 176678612 192740304 265017918 353357224 530035836 706714448 1060071672 2120143344