Search a number
-
+
114330041400 = 233521910028951
BaseRepresentation
bin110101001111010011…
…0011111110000111000
3101221002212010212111210
41222132212133300320
53333121442311100
6124304505323120
711155130213601
oct1523646376070
9357085125453
10114330041400
114453a367323
121a1a8a964a0
13aa20607193
1457682cada8
152e92312c50
hex1a9e99fc38

114330041400 has 96 divisors (see below), whose sum is σ = 373077014400. Its totient is φ = 28883376000.

The previous prime is 114330041389. The next prime is 114330041417. The reversal of 114330041400 is 4140033411.

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, 5003076 + ... + 5025875.

It is an arithmetic number, because the mean of its divisors is an integer number (3886218900).

Almost surely, 2114330041400 is an apocalyptic number.

114330041400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114330041400 is an abundant number, since it is smaller than the sum of its proper divisors (258746973000).

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

114330041400 is a wasteful number, since it uses less digits than its factorization.

114330041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10028989 (or 10028980 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 114330041400 its reverse (4140033411), we get a palindrome (118470074811).

The spelling of 114330041400 in words is "one hundred fourteen billion, three hundred thirty million, forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 10028951 20057902 30086853 40115804 50144755 60173706 80231608 100289510 120347412 150434265 190550069 200579020 240694824 250723775 300868530 381100138 401158040 501447550 571650207 601737060 752171325 762200276 952750345 1002895100 1143300414 1203474120 1504342650 1524400552 1905500690 2005790200 2286600828 2858251035 3008685300 3811001380 4573201656 4763751725 5716502070 6017370600 7622002760 9527503450 11433004140 14291255175 19055006900 22866008280 28582510350 38110013800 57165020700 114330041400