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40350430320400 = 2452100876075801
BaseRepresentation
bin10010010110010110100010…
…00100001101011100010000
312021212110111212101202022001
421023023101010031130100
520242100140130223100
6221452422022123344
711333136164445304
oct1113132104153420
9167773455352261
1040350430320400
1111947580a89512
124638225580554
13196904c362435
149d6d85165d04
1549e919922d6a
hex24b2d110d710

40350430320400 has 30 divisors (see below), whose sum is σ = 96941908845722. Its totient is φ = 16140172128000.

The previous prime is 40350430320383. The next prime is 40350430320401. The reversal of 40350430320400 is 402303405304.

It can be written as a sum of positive squares in 3 ways, for example, as 8347106826496 + 32003323493904 = 2889136^2 + 5657148^2 .

It is not an unprimeable number, because it can be changed into a prime (40350430320401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50438037501 + ... + 50438038300.

Almost surely, 240350430320400 is an apocalyptic number.

40350430320400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40350430320400 is an abundant number, since it is smaller than the sum of its proper divisors (56591478525322).

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

40350430320400 is a wasteful number, since it uses less digits than its factorization.

40350430320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100876075819 (or 100876075808 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

Adding to 40350430320400 its reverse (402303405304), we get a palindrome (40752733725704).

The spelling of 40350430320400 in words is "forty trillion, three hundred fifty billion, four hundred thirty million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 100876075801 201752151602 403504303204 504380379005 807008606408 1008760758010 1614017212816 2017521516020 2521901895025 4035043032040 5043803790050 8070086064080 10087607580100 20175215160200 40350430320400