Search a number
-
+
2140212423200 = 25527397377809
BaseRepresentation
bin11111001001001110100…
…110011110101000100000
321120121021002020221120012
4133021032212132220200
5240031123340020300
64315111111504052
7310424313303005
oct37111646365040
97517232227505
102140212423200
11755728132695
122a6954988028
13126a8a140167
14758303b58ac
153aa126ae435
hex1f24e99ea20

2140212423200 has 144 divisors (see below), whose sum is σ = 5350981968360. Its totient is φ = 835650846720.

The previous prime is 2140212423199. The next prime is 2140212423227. The reversal of 2140212423200 is 23242120412.

It can be written as a sum of positive squares in 12 ways, for example, as 160214471824 + 1979997951376 = 400268^2 + 1407124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5475896 + ... + 5853704.

Almost surely, 22140212423200 is an apocalyptic number.

2140212423200 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 2140212423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675490984180).

2140212423200 is an abundant number, since it is smaller than the sum of its proper divisors (3210769545160).

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

2140212423200 is a wasteful number, since it uses less digits than its factorization.

2140212423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377999 (or 377986 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 2140212423200 its reverse (23242120412), we get a palindrome (2163454543612).

The spelling of 2140212423200 in words is "two trillion, one hundred forty billion, two hundred twelve million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 97 100 146 160 194 200 292 365 388 400 485 584 730 776 800 970 1168 1460 1552 1825 1940 2336 2425 2920 3104 3650 3880 4850 5840 7081 7300 7760 9700 11680 14162 14600 15520 19400 28324 29200 35405 38800 56648 58400 70810 77600 113296 141620 177025 226592 283240 354050 377809 566480 708100 755618 1132960 1416200 1511236 1889045 2832400 3022472 3778090 5664800 6044944 7556180 9445225 12089888 15112360 18890450 27580057 30224720 36647473 37780900 55160114 60449440 73294946 75561800 110320228 137900285 146589892 151123600 183237365 220640456 275800570 293179784 302247200 366474730 441280912 551601140 586359568 689501425 732949460 882561824 916186825 1103202280 1172719136 1379002850 1465898920 1832373650 2206404560 2675265529 2758005700 2931797840 3664747300 4412809120 5350531058 5516011400 5863595680 7329494600 10701062116 11032022800 13376327645 14658989200 21402124232 22064045600 26752655290 29317978400 42804248464 53505310580 66881638225 85608496928 107010621160 133763276450 214021242320 267526552900 428042484640 535053105800 1070106211600 2140212423200