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233145420422440 = 23541142161841721
BaseRepresentation
bin110101000000101101100101…
…111101110001110100101000
31010120111111002012202221222111
4311000231211331301310220
5221024323310112004230
62143505305540332104
7100052125601325241
oct6500554575616450
91116444065687874
10233145420422440
1168318465815889
12221951896a4034
13a012698a90966
144180427355cc8
151be49aa0ce92a
hexd40b65f71d28

233145420422440 has 32 divisors (see below), whose sum is σ = 537371761709160. Its totient is φ = 90983578700800.

The previous prime is 233145420422419. The next prime is 233145420422527. The reversal of 233145420422440 is 44224024541332.

233145420422440 is digitally balanced in base 2, 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 158319356580004 + 74826063842436 = 12582502^2 + 8650206^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 233145420422393 and 233145420422402.

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, 71080919221 + ... + 71080922500.

Almost surely, 2233145420422440 is an apocalyptic number.

233145420422440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233145420422440 is an abundant number, since it is smaller than the sum of its proper divisors (304226341286720).

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

233145420422440 is a wasteful number, since it uses less digits than its factorization.

233145420422440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142161841773 (or 142161841769 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 40.

Adding to 233145420422440 its reverse (44224024541332), we get a palindrome (277369444963772).

The spelling of 233145420422440 in words is "two hundred thirty-three trillion, one hundred forty-five billion, four hundred twenty million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 142161841721 284323683442 568647366884 710809208605 1137294733768 1421618417210 2843236834420 5686473668840 5828635510561 11657271021122 23314542042244 29143177552805 46629084084488 58286355105610 116572710211220 233145420422440