Search a number
-
+
111142123440 = 24352111219371
BaseRepresentation
bin110011110000010010…
…1100011011110110000
3101121212200111212012020
41213200211203132300
53310104340422230
6123020305231440
711013130314255
oct1474045433660
9347780455166
10111142123440
1143153916387
1219659332580
13a633008aaa
145544b6942c
152d574ee810
hex19e09637b0

111142123440 has 80 divisors (see below), whose sum is σ = 344705366016. Its totient is φ = 29623724800.

The previous prime is 111142123429. The next prime is 111142123447. The reversal of 111142123440 is 44321241111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 111142123440.

It is not an unprimeable number, because it can be changed into a prime (111142123447) 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, 396955 + ... + 616325.

Almost surely, 2111142123440 is an apocalyptic number.

111142123440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111142123440 is an abundant number, since it is smaller than the sum of its proper divisors (233563242576).

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

111142123440 is a wasteful number, since it uses less digits than its factorization.

111142123440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221498 (or 221492 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 111142123440 its reverse (44321241111), we get a palindrome (155463364551).

The spelling of 111142123440 in words is "one hundred eleven billion, one hundred forty-two million, one hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2111 4222 6333 8444 10555 12666 16888 21110 25332 31665 33776 42220 50664 63330 84440 101328 126660 168880 219371 253320 438742 506640 658113 877484 1096855 1316226 1754968 2193710 2632452 3290565 3509936 4387420 5264904 6581130 8774840 10529808 13162260 17549680 26324520 52649040 463092181 926184362 1389276543 1852368724 2315460905 2778553086 3704737448 4630921810 5557106172 6946382715 7409474896 9261843620 11114212344 13892765430 18523687240 22228424688 27785530860 37047374480 55571061720 111142123440