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233454040000454 = 27131719326894091
BaseRepresentation
bin110101000101001101000001…
…001000000010011111000110
31010121120222200102221220212202
4311011031001020002133012
5221044402333220003304
62144303145545114502
7100113332512420640
oct6505150110023706
91117528612856782
10233454040000454
116842733649a679
1222224b59788a32
13a0358105c4590
144191343163890
151beca1e37281e
hexd453412027c6

233454040000454 has 256 divisors, whose sum is σ = 481990250649600. Its totient is φ = 82297142968320.

The previous prime is 233454040000367. The next prime is 233454040000507. The reversal of 233454040000454 is 454000040454332.

It is a super-2 number, since 2×2334540400004542 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57065272949 + ... + 57065277039.

It is an arithmetic number, because the mean of its divisors is an integer number (1882774416600).

Almost surely, 2233454040000454 is an apocalyptic number.

233454040000454 is an abundant number, since it is smaller than the sum of its proper divisors (248536210649146).

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

233454040000454 is a wasteful number, since it uses less digits than its factorization.

233454040000454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876 (or 6838 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 38.

Adding to 233454040000454 its reverse (454000040454332), we get a palindrome (687454080454786).

The spelling of 233454040000454 in words is "two hundred thirty-three trillion, four hundred fifty-four billion, forty million, four hundred fifty-four", and thus it is an aban number.