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34040142300 = 22352113467141
BaseRepresentation
bin11111101100111100…
…110101100111011100
310020212022112101201010
4133230330311213130
51024203234023200
623345434215220
72313355302243
oct375474654734
9106768471633
1034040142300
111348885580a
12671bb84510
133296400048
14190cc4b95a
15d4367d150
hex7ecf359dc

34040142300 has 36 divisors (see below), whose sum is σ = 98489479256. Its totient is φ = 9077371200.

The previous prime is 34040142277. The next prime is 34040142307. The reversal of 34040142300 is 324104043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34040142307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56733271 + ... + 56733870.

Almost surely, 234040142300 is an apocalyptic number.

34040142300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34040142300 is an abundant number, since it is smaller than the sum of its proper divisors (64449336956).

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

34040142300 is a wasteful number, since it uses less digits than its factorization.

34040142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113467158 (or 113467151 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34040142300 its reverse (324104043), we get a palindrome (34364246343).

The spelling of 34040142300 in words is "thirty-four billion, forty million, one hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 113467141 226934282 340401423 453868564 567335705 680802846 1134671410 1361605692 1702007115 2269342820 2836678525 3404014230 5673357050 6808028460 8510035575 11346714100 17020071150 34040142300