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2034111044304 = 2432194311724969
BaseRepresentation
bin11101100110011010011…
…101110101101011010000
321012110101200210102221100
4131212122131311223100
5231311324411404204
64154242511024400
7266650111411563
oct35463235655320
97173350712840
102034111044304
11714730723299
1228a28380b100
13119a7b55a661
1470646cb64da
1537da29b3a39
hex1d99a775ad0

2034111044304 has 120 divisors (see below), whose sum is σ = 6006207542400. Its totient is φ = 640860111360.

The previous prime is 2034111044239. The next prime is 2034111044347. The reversal of 2034111044304 is 4034401114302.

2034111044304 is a `hidden beast` number, since 2 + 0 + 341 + 1 + 10 + 4 + 4 + 304 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 316732 + ... + 2041700.

It is an arithmetic number, because the mean of its divisors is an integer number (50051729520).

Almost surely, 22034111044304 is an apocalyptic number.

2034111044304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034111044304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003103771200).

2034111044304 is an abundant number, since it is smaller than the sum of its proper divisors (3972096498096).

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

2034111044304 is a wasteful number, since it uses less digits than its factorization.

2034111044304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725433 (or 1725424 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2034111044304 its reverse (4034401114302), we get a palindrome (6068512158606).

The spelling of 2034111044304 in words is "two trillion, thirty-four billion, one hundred eleven million, forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 431 456 684 862 912 1293 1368 1724 2586 2736 3448 3879 5172 6896 7758 8189 10344 15516 16378 20688 24567 31032 32756 49134 62064 65512 73701 98268 131024 147402 196536 294804 393072 589608 1179216 1724969 3449938 5174907 6899876 10349814 13799752 15524721 20699628 27599504 31049442 32774411 41399256 62098884 65548822 82798512 98323233 124197768 131097644 196646466 248395536 262195288 294969699 393292932 524390576 589939398 743461639 786585864 1179878796 1486923278 1573171728 2230384917 2359757592 2973846556 4460769834 4719515184 5947693112 6691154751 8921539668 11895386224 13382309502 14125771141 17843079336 26764619004 28251542282 35686158672 42377313423 53529238008 56503084564 84754626846 107058476016 113006169128 127131940269 169509253692 226012338256 254263880538 339018507384 508527761076 678037014768 1017055522152 2034111044304