Search a number
-
+
114228727600 = 245213127172969
BaseRepresentation
bin110101001100010010…
…0000000111100110000
3101220211210111121002211
41222120210000330300
53332420023240400
6124250450021504
711152460110231
oct1523044007460
9356753447084
10114228727600
1144498158809
121a17ab77894
13aa056236a0
145758a77088
152e8849ddba
hex1a98900f30

114228727600 has 120 divisors (see below), whose sum is σ = 297873712640. Its totient is φ = 41844418560.

The previous prime is 114228727519. The next prime is 114228727687. The reversal of 114228727600 is 6727822411.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 573916 + ... + 746884.

Almost surely, 2114228727600 is an apocalyptic number.

114228727600 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 114228727600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148936856320).

114228727600 is an abundant number, since it is smaller than the sum of its proper divisors (183644985040).

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

114228727600 is a wasteful number, since it uses less digits than its factorization.

114228727600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173127 (or 173116 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 114228727600 in words is "one hundred fourteen billion, two hundred twenty-eight million, seven hundred twenty-seven thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 127 130 200 208 254 260 325 400 508 520 635 650 1016 1040 1270 1300 1651 2032 2540 2600 3175 3302 5080 5200 6350 6604 8255 10160 12700 13208 16510 25400 26416 33020 41275 50800 66040 82550 132080 165100 172969 330200 345938 660400 691876 864845 1383752 1729690 2248597 2767504 3459380 4324225 4497194 6918760 8648450 8994388 11242985 13837520 17296900 17988776 21967063 22485970 34593800 35977552 43934126 44971940 56214925 69187600 87868252 89943880 109835315 112429850 175736504 179887760 219670630 224859700 285571819 351473008 439341260 449719400 549176575 571143638 878682520 899438800 1098353150 1142287276 1427859095 1757365040 2196706300 2284574552 2855718190 4393412600 4569149104 5711436380 7139295475 8786825200 11422872760 14278590950 22845745520 28557181900 57114363800 114228727600