Search a number
-
+
2032043243420 = 2253719922361879
BaseRepresentation
bin11101100100011111001…
…101110011011110011100
321012021001120212021101102
4131210133031303132130
5231243111032242140
64153301402532232
7266544632402561
oct35443715633634
97167046767342
102032043243420
1171386a487943
122899a7207078
1311980c034738
14704cc40c868
1537cd11abe15
hex1d91f37379c

2032043243420 has 96 divisors (see below), whose sum is σ = 4424469504000. Its totient is φ = 783333897984.

The previous prime is 2032043243413. The next prime is 2032043243441. The reversal of 2032043243420 is 243423402302.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32808041 + ... + 32869919.

It is an arithmetic number, because the mean of its divisors is an integer number (46088224000).

Almost surely, 22032043243420 is an apocalyptic number.

2032043243420 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 2032043243420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212234752000).

2032043243420 is an abundant number, since it is smaller than the sum of its proper divisors (2392426260580).

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

2032043243420 is a wasteful number, since it uses less digits than its factorization.

2032043243420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62347 (or 62345 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 2032043243420 its reverse (243423402302), we get a palindrome (2275466645722).

The spelling of 2032043243420 in words is "two trillion, thirty-two billion, forty-three million, two hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 199 223 370 398 446 740 796 892 995 1115 1990 2230 3980 4460 7363 8251 14726 16502 29452 33004 36815 41255 44377 61879 73630 82510 88754 123758 147260 165020 177508 221885 247516 309395 443770 618790 887540 1237580 1641949 2289523 3283898 4579046 6567796 8209745 9158092 11447615 12313921 13799017 16419490 22895230 24627842 27598034 32838980 45790460 49255684 55196068 61569605 68995085 123139210 137990170 246278420 275980340 455615077 510563629 911230154 1021127258 1822460308 2042254516 2278075385 2552818145 2746004383 4556150770 5105636290 5492008766 9112301540 10211272580 10984017532 13730021915 27460043830 54920087660 101602162171 203204324342 406408648684 508010810855 1016021621710 2032043243420