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114233325444 = 22327264758121
BaseRepresentation
bin110101001100011010…
…1100011011110000100
3101220212010011012011100
41222120311203132010
53332422212403234
6124251132340100
711152544150100
oct1523065433604
9356763135140
10114233325444
114449a809187
121a180614630
13aa065733c4
145759512900
152e88aab399
hex1a98d63784

114233325444 has 54 divisors (see below), whose sum is σ = 335900378814. Its totient is φ = 32638092480.

The previous prime is 114233325433. The next prime is 114233325499. The reversal of 114233325444 is 444523332411.

114233325444 is a `hidden beast` number, since 11 + 42 + 33 + 32 + 544 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108287064900 + 5946260544 = 329070^2 + 77112^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 114233325399 and 114233325408.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32377297 + ... + 32380824.

Almost surely, 2114233325444 is an apocalyptic number.

114233325444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114233325444 is an abundant number, since it is smaller than the sum of its proper divisors (221667053370).

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

114233325444 is a wasteful number, since it uses less digits than its factorization.

114233325444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64758145 (or 64758133 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 114233325444 its reverse (444523332411), we get a palindrome (558756657855).

The spelling of 114233325444 in words is "one hundred fourteen billion, two hundred thirty-three million, three hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 64758121 129516242 194274363 259032484 388548726 453306847 582823089 777097452 906613694 1165646178 1359920541 1813227388 2331292356 2719841082 3173147929 4079761623 5439682164 6346295858 8159523246 9519443787 12692591716 16319046492 19038887574 28558331361 38077775148 57116662722 114233325444