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2123441440 = 255171993923
BaseRepresentation
bin111111010010001…
…0010010100100000
312110222122000001021
41332210102110200
513322100111230
6550412415224
7103422645241
oct17644222440
95428560037
102123441440
1199a699a8a
124b3177514
1327ac07833
1416202ccc8
15c6647c7a
hex7e912520

2123441440 has 96 divisors (see below), whose sum is σ = 5339779200. Its totient is φ = 795193344.

The previous prime is 2123441431. The next prime is 2123441459. The reversal of 2123441440 is 441443212.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 539319 + ... + 543241.

It is an arithmetic number, because the mean of its divisors is an integer number (55622700).

Almost surely, 22123441440 is an apocalyptic number.

2123441440 is a gapful number since it is divisible by the number (20) 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 2123441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669889600).

2123441440 is an abundant number, since it is smaller than the sum of its proper divisors (3216337760).

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

2123441440 is a wasteful number, since it uses less digits than its factorization.

2123441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2123441440 is about 46080.8142289174. The cubic root of 2123441440 is about 1285.3264049928.

Adding to 2123441440 its reverse (441443212), we get a palindrome (2564884652).

The spelling of 2123441440 in words is "two billion, one hundred twenty-three million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 199 272 340 398 544 680 796 995 1360 1592 1990 2720 3184 3383 3923 3980 6368 6766 7846 7960 13532 15692 15920 16915 19615 27064 31384 31840 33830 39230 54128 62768 66691 67660 78460 108256 125536 133382 135320 156920 266764 270640 313840 333455 533528 541280 627680 666910 780677 1067056 1333820 1561354 2134112 2667640 3122708 3903385 5335280 6245416 7806770 10670560 12490832 13271509 15613540 24981664 26543018 31227080 53086036 62454160 66357545 106172072 124908320 132715090 212344144 265430180 424688288 530860360 1061720720 2123441440