Search a number
-
+
1114433321140 = 2254311316768669
BaseRepresentation
bin10000001101111001011…
…001101111100010110100
310221112112202220110011101
4100031321121233202310
5121224324412234030
62211544045415444
7143341460635006
oct20157131574264
93845482813141
101114433321140
1139a6a0613877
1215bb9956a584
13811240c4299
143bd2033a376
151dec7b7a7ca
hex1037966f8b4

1114433321140 has 96 divisors (see below), whose sum is σ = 2430430168320. Its totient is φ = 428962953216.

The previous prime is 1114433321123. The next prime is 1114433321147. The reversal of 1114433321140 is 411233344111.

It is a junction number, because it is equal to n+sod(n) for n = 1114433321099 and 1114433321108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114433321147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16194726 + ... + 16263394.

It is an arithmetic number, because the mean of its divisors is an integer number (25316980920).

Almost surely, 21114433321140 is an apocalyptic number.

1114433321140 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 1114433321140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215215084160).

1114433321140 is an abundant number, since it is smaller than the sum of its proper divisors (1315996847180).

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

1114433321140 is a wasteful number, since it uses less digits than its factorization.

1114433321140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69001 (or 68999 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 1114433321140 its reverse (411233344111), we get a palindrome (1525666665251).

The spelling of 1114433321140 in words is "one trillion, one hundred fourteen billion, four hundred thirty-three million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 113 167 172 215 226 334 430 452 565 668 835 860 1130 1670 2260 3340 4859 7181 9718 14362 18871 19436 24295 28724 35905 37742 48590 68669 71810 75484 94355 97180 137338 143620 188710 274676 343345 377420 686690 811453 1373380 1622906 2952767 3245812 4057265 5905534 7759597 8114530 11467723 11811068 14763835 15519194 16229060 22935446 29527670 31038388 38797985 45870892 57338615 59055340 77595970 114677230 155191940 229354460 333662671 493112089 667325342 986224178 1295852699 1334650684 1668313355 1972448356 2465560445 2591705398 3336626710 4931120890 5183410796 6479263495 6673253420 9862241780 12958526990 25917053980 55721666057 111443332114 222886664228 278608330285 557216660570 1114433321140