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114603620240 = 24510913142617
BaseRepresentation
bin110101010111011101…
…0000111011110010000
3101221210220221010010102
41222232322013132100
53334202011321430
6124352001151532
711164661461544
oct1525672073620
9357726833112
10114603620240
114466a83513a
121a26462b5a8
13aa651b3c55
145792783a24
152eab353345
hex1aaee87790

114603620240 has 40 divisors (see below), whose sum is σ = 268897964280. Its totient is φ = 45420880896.

The previous prime is 114603620227. The next prime is 114603620267. The reversal of 114603620240 is 42026306411.

114603620240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 55208081296 + 59395538944 = 234964^2 + 243712^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1146036202402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6562589 + ... + 6580028.

It is an arithmetic number, because the mean of its divisors is an integer number (6722449107).

Almost surely, 2114603620240 is an apocalyptic number.

114603620240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114603620240 is an abundant number, since it is smaller than the sum of its proper divisors (154294344040).

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

114603620240 is a wasteful number, since it uses less digits than its factorization.

114603620240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13142739 (or 13142733 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 114603620240 its reverse (42026306411), we get a palindrome (156629926651).

The spelling of 114603620240 in words is "one hundred fourteen billion, six hundred three million, six hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 13142617 26285234 52570468 65713085 105140936 131426170 210281872 262852340 525704680 1051409360 1432545253 2865090506 5730181012 7162726265 11460362024 14325452530 22920724048 28650905060 57301810120 114603620240