Search a number
-
+
1366723504420 = 2251741346728279
BaseRepresentation
bin10011111000110111000…
…100011010100100100100
311211122202022101200010121
4103320313010122210210
5134343022204120140
62523510351531324
7200512453051651
oct23706704324444
94748668350117
101366723504420
1148769587367a
121a0a68b29b44
139bb5c79bcc1
144a214d82c28
1525841a7764a
hex13e3711a924

1366723504420 has 96 divisors (see below), whose sum is σ = 3114078670080. Its totient is φ = 501819125760.

The previous prime is 1366723504417. The next prime is 1366723504427. The reversal of 1366723504420 is 244053276631.

It is not an unprimeable number, because it can be changed into a prime (1366723504427) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 48315841 + ... + 48344119.

It is an arithmetic number, because the mean of its divisors is an integer number (32438319480).

Almost surely, 21366723504420 is an apocalyptic number.

1366723504420 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 1366723504420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557039335040).

1366723504420 is an abundant number, since it is smaller than the sum of its proper divisors (1747355165660).

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

1366723504420 is a wasteful number, since it uses less digits than its factorization.

1366723504420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31813 (or 31811 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 1366723504420 in words is "one trillion, three hundred sixty-six billion, seven hundred twenty-three million, five hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3467 3485 6934 6970 13868 13940 17335 28279 34670 56558 58939 69340 113116 117878 141395 142147 235756 282790 284294 294695 480743 565580 568588 589390 710735 961486 1159439 1178780 1421470 1922972 2318878 2403715 2416499 2842940 4637756 4807430 4832998 5797195 9614860 9665996 11594390 12082495 19710463 23188780 24164990 39420926 48329980 78841852 98043293 98552315 196086586 197104630 392173172 394209260 490216465 980432930 1666735981 1960865860 3333471962 4019775013 6666943924 8039550026 8333679905 16079100052 16667359810 20098875065 33334719620 40197750130 68336175221 80395500260 136672350442 273344700884 341680876105 683361752210 1366723504420