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434505465312 = 2535737378889
BaseRepresentation
bin1100101001010101000…
…10110011110111100000
31112112112102200121212120
412110222202303313200
524104331344342222
6531335320024240
743251310342152
oct6245242636740
91475472617776
10434505465312
1115830000a186
1270263002080
1331c87271739
141705cb3aad2
15b480d4015c
hex652a8b3de0

434505465312 has 48 divisors (see below), whose sum is σ = 1140611184720. Its totient is φ = 144830794752.

The previous prime is 434505465311. The next prime is 434505465343. The reversal of 434505465312 is 213564505434.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434505465311) by changing a digit.

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, 5468364 + ... + 5547252.

It is an arithmetic number, because the mean of its divisors is an integer number (23762733015).

Almost surely, 2434505465312 is an apocalyptic number.

It is an amenable number.

434505465312 is an abundant number, since it is smaller than the sum of its proper divisors (706105719408).

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

434505465312 is a wasteful number, since it uses less digits than its factorization.

434505465312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136275 (or 136267 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 434505465312 in words is "four hundred thirty-four billion, five hundred five million, four hundred sixty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 57373 78889 114746 157778 172119 229492 236667 315556 344238 458984 473334 631112 688476 917968 946668 1262224 1376952 1835936 1893336 2524448 2753904 3786672 5507808 7573344 4526098597 9052197194 13578295791 18104394388 27156591582 36208788776 54313183164 72417577552 108626366328 144835155104 217252732656 434505465312