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2144323120 = 245232514643
BaseRepresentation
bin111111111001111…
…1100011000110000
312112102220220022211
41333303330120300
513342421314440
6552440141504
7104065305622
oct17763743060
95472826284
102144323120
11a00461775
124ba167894
13282339364
14164b06c12
15c83beeea
hex7fcfc630

2144323120 has 80 divisors (see below), whose sum is σ = 5224165632. Its totient is φ = 816992000.

The previous prime is 2144323117. The next prime is 2144323151. The reversal of 2144323120 is 213234412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2144323091 and 2144323100.

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, 459519 + ... + 464161.

Almost surely, 22144323120 is an apocalyptic number.

2144323120 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 2144323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612082816).

2144323120 is an abundant number, since it is smaller than the sum of its proper divisors (3079842512).

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

2144323120 is a wasteful number, since it uses less digits than its factorization.

2144323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2144323120 is about 46306.8366442796. The cubic root of 2144323120 is about 1289.5259199801.

Adding to 2144323120 its reverse (213234412), we get a palindrome (2357557532).

The spelling of 2144323120 in words is "two billion, one hundred forty-four million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 251 368 460 502 920 1004 1255 1840 2008 2510 4016 4643 5020 5773 9286 10040 11546 18572 20080 23092 23215 28865 37144 46184 46430 57730 74288 92368 92860 106789 115460 185720 213578 230920 371440 427156 461840 533945 854312 1067890 1165393 1708624 2135780 2330786 4271560 4661572 5826965 8543120 9323144 11653930 18646288 23307860 26804039 46615720 53608078 93231440 107216156 134020195 214432312 268040390 428864624 536080780 1072161560 2144323120