Search a number
-
+
11411223144120 = 23325174118206687
BaseRepresentation
bin1010011000001110000111…
…1001101110011010111000
31111101220100202112211201200
42212003201321232122320
52443430141111102440
640134124334414200
72255301514220202
oct246034171563270
944356322484650
1011411223144120
1136aa521a7a628
1213436a3661360
1364a0c5c88577
142b64400d3772
1514bc7351dc30
hexa60e1e6e6b8

11411223144120 has 96 divisors (see below), whose sum is σ = 37107779080320. Its totient is φ = 3041244829440.

The previous prime is 11411223144119. The next prime is 11411223144259. The reversal of 11411223144120 is 2144132211411.

11411223144120 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 12 + 231 + 4 + 412 + 0 = 666.

11411223144120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 8476584 + ... + 9730103.

It is an arithmetic number, because the mean of its divisors is an integer number (386539365420).

Almost surely, 211411223144120 is an apocalyptic number.

11411223144120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11411223144120 is an abundant number, since it is smaller than the sum of its proper divisors (25696555936200).

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

11411223144120 is a wasteful number, since it uses less digits than its factorization.

11411223144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18208445 (or 18208438 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11411223144120 its reverse (2144132211411), we get a palindrome (13555355355531).

The spelling of 11411223144120 in words is "eleven trillion, four hundred eleven billion, two hundred twenty-three million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1741 3482 5223 6964 8705 10446 13928 15669 17410 20892 26115 31338 34820 41784 52230 62676 69640 78345 104460 125352 156690 208920 313380 626760 18206687 36413374 54620061 72826748 91033435 109240122 145653496 163860183 182066870 218480244 273100305 327720366 364133740 436960488 546200610 655440732 728267480 819300915 1092401220 1310881464 1638601830 2184802440 3277203660 6554407320 31697842067 63395684134 95093526201 126791368268 158489210335 190187052402 253582736536 285280578603 316978420670 380374104804 475467631005 570561157206 633956841340 760748209608 950935262010 1141122314412 1267913682680 1426402893015 1901870524020 2282244628824 2852805786030 3803741048040 5705611572060 11411223144120