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2044142320 = 245115939371
BaseRepresentation
bin111100111010111…
…0010001011110000
312021110102012002211
41321311302023300
513141300023240
6534501021504
7101440631413
oct17165621360
95243365084
102044142320
11959957420
124906b4894
1326766148c
141556a9b7a
15be6d1bea
hex79d722f0

2044142320 has 80 divisors (see below), whose sum is σ = 5272698240. Its totient is φ = 730707200.

The previous prime is 2044142311. The next prime is 2044142357. The reversal of 2044142320 is 232414402.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2044142291 and 2044142300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32235 + ... + 71605.

It is an arithmetic number, because the mean of its divisors is an integer number (65908728).

Almost surely, 22044142320 is an apocalyptic number.

2044142320 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 2044142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636349120).

2044142320 is an abundant number, since it is smaller than the sum of its proper divisors (3228555920).

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

2044142320 is a wasteful number, since it uses less digits than its factorization.

2044142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39454 (or 39448 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2044142320 is about 45212.1921609647. The cubic root of 2044142320 is about 1269.1229855533.

Adding to 2044142320 its reverse (232414402), we get a palindrome (2276556722).

The spelling of 2044142320 in words is "two billion, forty-four million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 176 220 236 295 440 472 590 649 880 944 1180 1298 2360 2596 3245 4720 5192 6490 10384 12980 25960 39371 51920 78742 157484 196855 314968 393710 433081 629936 787420 866162 1574840 1732324 2165405 2322889 3149680 3464648 4330810 4645778 6929296 8661620 9291556 11614445 17323240 18583112 23228890 25551779 34646480 37166224 46457780 51103558 92915560 102207116 127758895 185831120 204414232 255517790 408828464 511035580 1022071160 2044142320