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114442230140 = 225725115592089
BaseRepresentation
bin110101010010101001…
…0011101100101111100
3101221101200020122112022
41222211102131211330
53333334202331030
6124323554055312
711160661622510
oct1524522354574
9357350218468
10114442230140
1144597723397
121a21a57a538
13aa3a927854
145779172140
152e9c0c3de5
hex1aa549d97c

114442230140 has 96 divisors (see below), whose sum is σ = 276064588800. Its totient is φ = 39037248000.

The previous prime is 114442230127. The next prime is 114442230143. The reversal of 114442230140 is 41032244411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114442230143) 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, 54782216 + ... + 54784304.

It is an arithmetic number, because the mean of its divisors is an integer number (2875672800).

Almost surely, 2114442230140 is an apocalyptic number.

114442230140 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 114442230140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138032294400).

114442230140 is an abundant number, since it is smaller than the sum of its proper divisors (161622358660).

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

114442230140 is a wasteful number, since it uses less digits than its factorization.

114442230140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 114442230140 its reverse (41032244411), we get a palindrome (155474474551).

The spelling of 114442230140 in words is "one hundred fourteen billion, four hundred forty-two million, two hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 251 502 1004 1255 1559 1757 2089 2510 3118 3514 4178 5020 6236 7028 7795 8356 8785 10445 10913 14623 15590 17570 20890 21826 29246 31180 35140 41780 43652 54565 58492 73115 109130 146230 218260 292460 391309 524339 782618 1048678 1565236 1956545 2097356 2621695 2739163 3256751 3670373 3913090 5243390 5478326 6513502 7340746 7826180 10486780 10956652 13027004 13695815 14681492 16283755 18351865 22797257 27391630 32567510 36703730 45594514 54783260 65135020 73407460 91189028 113986285 227972570 455945140 817444501 1634889002 3269778004 4087222505 5722111507 8174445010 11444223014 16348890020 22888446028 28610557535 57221115070 114442230140