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114443243244 = 2232113119148809
BaseRepresentation
bin110101010010101011…
…0010100111011101100
3101221101202011010020200
41222211112110323230
53333334432240434
6124324031513500
711161003342251
oct1524526247354
9357352133220
10114443243244
1144598255570
121a21a988890
13aa3abc0a15
145779357428
152e9c224199
hex1aa5594eec

114443243244 has 144 divisors (see below), whose sum is σ = 327478394880. Its totient is φ = 33384672000.

The previous prime is 114443243237. The next prime is 114443243263. The reversal of 114443243244 is 442342344411.

114443243244 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 4 + 324 + 324 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114443243199 and 114443243208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2320312 + ... + 2369120.

It is an arithmetic number, because the mean of its divisors is an integer number (2274155520).

Almost surely, 2114443243244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114443243244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163739197440).

114443243244 is an abundant number, since it is smaller than the sum of its proper divisors (213035151636).

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

114443243244 is a wasteful number, since it uses less digits than its factorization.

114443243244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49052 (or 49047 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 114443243244 its reverse (442342344411), we get a palindrome (556785587655).

The spelling of 114443243244 in words is "one hundred fourteen billion, four hundred forty-three million, two hundred forty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 191 198 279 341 372 382 396 558 573 682 764 1023 1116 1146 1364 1719 2046 2101 2292 3069 3438 4092 4202 5921 6138 6303 6876 8404 11842 12276 12606 17763 18909 23684 25212 35526 37818 48809 53289 65131 71052 75636 97618 106578 130262 146427 195236 195393 213156 260524 292854 390786 439281 536899 585708 586179 781572 878562 1073798 1172358 1513079 1610697 1757124 2147596 2344716 3026158 3221394 4539237 4832091 6052316 6442788 9078474 9322519 9664182 13617711 16643869 18156948 18645038 19328364 27235422 27967557 33287738 37290076 49931607 54470844 55935114 66575476 83902671 99863214 102547709 111870228 149794821 167805342 199726428 205095418 288998089 299589642 307643127 335610684 410190836 577996178 599179284 615286254 866994267 922929381 1155992356 1230572508 1733988534 1845858762 2600982801 3178978979 3467977068 3691717524 5201965602 6357957958 9536936937 10403931204 12715915916 19073873874 28610810811 38147747748 57221621622 114443243244