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214034030432 = 25291132041063
BaseRepresentation
bin1100011101010101101…
…1000001111101100000
3202110110101210022001022
43013111123001331200
512001320202433212
6242154220025012
721314651145425
oct3072533017540
9673411708038
10214034030432
11828536a2a62
1235593692168
131724c9b46b1
14a505cd5d4c
15587a57a772
hex31d56c1f60

214034030432 has 48 divisors (see below), whose sum is σ = 439767649440. Its totient is φ = 102412326912.

The previous prime is 214034030363. The next prime is 214034030473. The reversal of 214034030432 is 234030430412.

214034030432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 915668 + ... + 1125395.

It is an arithmetic number, because the mean of its divisors is an integer number (9161826030).

Almost surely, 2214034030432 is an apocalyptic number.

It is an amenable number.

214034030432 is an abundant number, since it is smaller than the sum of its proper divisors (225733619008).

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

214034030432 is a wasteful number, since it uses less digits than its factorization.

214034030432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041215 (or 2041207 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 214034030432 its reverse (234030430412), we get a palindrome (448064460844).

The spelling of 214034030432 in words is "two hundred fourteen billion, thirty-four million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 113 116 226 232 452 464 904 928 1808 3277 3616 6554 13108 26216 52432 104864 2041063 4082126 8164252 16328504 32657008 59190827 65314016 118381654 230640119 236763308 461280238 473526616 922560476 947053232 1845120952 1894106464 3690241904 6688563451 7380483808 13377126902 26754253804 53508507608 107017015216 214034030432