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4034534354304 = 27352092017009
BaseRepresentation
bin111010101101011100111…
…111001010110110000000
3112021200211122011200001120
4322231130333022312000
51012100211243314204
612325234533032240
7564325344114606
oct72553477126600
915250748150046
104034534354304
111316044510153
12551b05485680
132335bb7051cc
14dd3b5a77876
156ee32c0b6d9
hex3ab5cfcad80

4034534354304 has 64 divisors (see below), whose sum is σ = 10718794542000. Its totient is φ = 1344585940992.

The previous prime is 4034534354161. The next prime is 4034534354309.

4034534354304 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034534354309) 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 7 ways as a sum of consecutive naturals, for example, 991752 + ... + 3008760.

Almost surely, 24034534354304 is an apocalyptic number.

It is an amenable number.

4034534354304 is an abundant number, since it is smaller than the sum of its proper divisors (6684260187696).

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

4034534354304 is a wasteful number, since it uses less digits than its factorization.

4034534354304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022235 (or 2022223 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 42.

The spelling of 4034534354304 in words is "four trillion, thirty-four billion, five hundred thirty-four million, three hundred fifty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 5209 10418 15627 20836 31254 41672 62508 83344 125016 166688 250032 333376 500064 666752 1000128 2000256 2017009 4034018 6051027 8068036 12102054 16136072 24204108 32272144 48408216 64544288 96816432 129088576 193632864 258177152 387265728 774531456 10506599881 21013199762 31519799643 42026399524 63039599286 84052799048 126079198572 168105598096 252158397144 336211196192 504316794288 672422392384 1008633588576 1344844784768 2017267177152 4034534354304