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42401200429 = 723127913891
BaseRepresentation
bin100111011111010011…
…101111100100101101
311001110000100011020201
4213133103233210231
51143314201403204
631251232513501
73030512154100
oct473723574455
9131400304221
1042401200429
1116a89410505
1282740ab891
133cc969b713
1420a3460737
1511826e89a4
hex9df4ef92d

42401200429 has 12 divisors (see below), whose sum is σ = 50914939008. Its totient is φ = 35171501400.

The previous prime is 42401200423. The next prime is 42401200459. The reversal of 42401200429 is 92400210424.

It is not a de Polignac number, because 42401200429 - 225 = 42367645997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42401200397 and 42401200406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42401200423) 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, 13955427 + ... + 13958464.

It is an arithmetic number, because the mean of its divisors is an integer number (4242911584).

Almost surely, 242401200429 is an apocalyptic number.

42401200429 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

42401200429 is a deficient number, since it is larger than the sum of its proper divisors (8513738579).

42401200429 is a wasteful number, since it uses less digits than its factorization.

42401200429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27913936 (or 27913929 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 42401200429 in words is "forty-two billion, four hundred one million, two hundred thousand, four hundred twenty-nine".

Divisors: 1 7 31 49 217 1519 27913891 195397237 865330621 1367780659 6057314347 42401200429