Search a number
-
+
111423020040 = 2334560157221
BaseRepresentation
bin110011111000101010…
…1000101110000001000
3101122121021001212220000
41213301111011300020
53311143243120130
6123104222003000
711023111020633
oct1476125056010
9348537055800
10111423020040
1143288432132
1219717416460
13a6792785b7
1455701a8c1a
152d71ed8260
hex19f1545c08

111423020040 has 160 divisors (see below), whose sum is σ = 375134843160. Its totient is φ = 29662848000.

The previous prime is 111423020029. The next prime is 111423020057. The reversal of 111423020040 is 40020324111.

111423020040 is a `hidden beast` number, since 1 + 1 + 1 + 423 + 0 + 200 + 40 = 666.

111423020040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 110805099876 + 617920164 = 332874^2 + 24858^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111423019995 and 111423020022.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1918630 + ... + 1975850.

Almost surely, 2111423020040 is an apocalyptic number.

111423020040 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 111423020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187567421580).

111423020040 is an abundant number, since it is smaller than the sum of its proper divisors (263711823120).

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

111423020040 is a wasteful number, since it uses less digits than its factorization.

111423020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57845 (or 57832 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 111423020040 its reverse (40020324111), we get a palindrome (151443344151).

The spelling of 111423020040 in words is "one hundred eleven billion, four hundred twenty-three million, twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 601 648 810 1080 1202 1620 1803 2404 3005 3240 3606 4808 5409 6010 7212 9015 10818 12020 14424 16227 18030 21636 24040 27045 32454 36060 43272 48681 54090 57221 64908 72120 81135 97362 108180 114442 129816 162270 171663 194724 216360 228884 243405 286105 324540 343326 389448 457768 486810 514989 572210 649080 686652 858315 973620 1029978 1144420 1373304 1544967 1716630 1947240 2059956 2288840 2574945 3089934 3433260 4119912 4634901 5149890 6179868 6866520 7724835 9269802 10299780 12359736 15449670 18539604 20599560 23174505 30899340 34389821 37079208 46349010 61798680 68779642 92698020 103169463 137559284 171949105 185396040 206338926 275118568 309508389 343898210 412677852 515847315 619016778 687796420 825355704 928525167 1031694630 1238033556 1375592840 1547541945 1857050334 2063389260 2476067112 2785575501 3095083890 3714100668 4126778520 4642625835 5571151002 6190167780 7428201336 9285251670 11142302004 12380335560 13927877505 18570503340 22284604008 27855755010 37141006680 55711510020 111423020040