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34444129685283 = 3210168635521249
BaseRepresentation
bin1111101010011101001100…
…00111010100111100100011
311111221211022121202010010100
413311032212013110330203
514003313034144412113
6201131225325433443
710153335433421043
oct765164607247443
9144854277663110
1034444129685283
11aa7a7452837aa
123a4360540b883
13162b0b5385416
148711676cb723
153eae869a4d73
hex1f53a61d4f23

34444129685283 has 24 divisors (see below), whose sum is σ = 50252562360000. Its totient is φ = 22732082265600.

The previous prime is 34444129685281. The next prime is 34444129685291. The reversal of 34444129685283 is 38258692144443.

34444129685283 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 4 + 12 + 96 + 8 + 528 + 3 = 666.

It is not a de Polignac number, because 34444129685283 - 21 = 34444129685281 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34444129685283.

It is not an unprimeable number, because it can be changed into a prime (34444129685281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3477843 + ... + 8999091.

It is an arithmetic number, because the mean of its divisors is an integer number (2093856765000).

Almost surely, 234444129685283 is an apocalyptic number.

34444129685283 is a deficient number, since it is larger than the sum of its proper divisors (15808432674717).

34444129685283 is a wasteful number, since it uses less digits than its factorization.

34444129685283 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528219 (or 5528216 counting only the distinct ones).

The product of its digits is 159252480, while the sum is 63.

The spelling of 34444129685283 in words is "thirty-four trillion, four hundred forty-four billion, one hundred twenty-nine million, six hundred eighty-five thousand, two hundred eighty-three".

Divisors: 1 3 9 101 303 909 6863 20589 61767 693163 2079489 5521249 6238467 16563747 49691241 557646149 1672938447 5018815341 37892331887 113676995661 341030986983 3827125520587 11481376561761 34444129685283