Search a number
-
+
12840050240 = 265197353577
BaseRepresentation
bin10111111010101001…
…11001111001000000
31020010211211010122022
423331110321321000
5202244023101430
65522034501012
7633121424543
oct137524717100
936124733568
1012840050240
115499967876
1225a4134768
1312981cb084
1489b41085a
155023a94e5
hex2fd539e40

12840050240 has 112 divisors (see below), whose sum is σ = 30871040112. Its totient is φ = 5086642176.

The previous prime is 12840050213. The next prime is 12840050243. The reversal of 12840050240 is 4205004821.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3557883904 + 9282166336 = 59648^2 + 96344^2 .

It is not an unprimeable number, because it can be changed into a prime (12840050243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22252832 + ... + 22253408.

Almost surely, 212840050240 is an apocalyptic number.

12840050240 is a gapful number since it is divisible by the number (10) 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 12840050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15435520056).

12840050240 is an abundant number, since it is smaller than the sum of its proper divisors (18030989872).

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

12840050240 is a wasteful number, since it uses less digits than its factorization.

12840050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The spelling of 12840050240 in words is "twelve billion, eight hundred forty million, fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 197 320 353 394 577 706 788 985 1154 1412 1576 1765 1970 2308 2824 2885 3152 3530 3940 4616 5648 5770 6304 7060 7880 9232 11296 11540 12608 14120 15760 18464 22592 23080 28240 31520 36928 46160 56480 63040 69541 92320 112960 113669 139082 184640 203681 227338 278164 347705 407362 454676 556328 568345 695410 814724 909352 1018405 1112656 1136690 1390820 1629448 1818704 2036810 2225312 2273380 2781640 3258896 3637408 4073620 4450624 4546760 5563280 6517792 7274816 8147240 9093520 11126560 13035584 16294480 18187040 22253120 32588960 36374080 40125157 65177920 80250314 160500628 200625785 321001256 401251570 642002512 802503140 1284005024 1605006280 2568010048 3210012560 6420025120 12840050240