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34455235122 = 232711131189767
BaseRepresentation
bin100000000101101100…
…010010101000110010
310021221020121022000100
4200011230102220302
51031031020010442
623454543133230
72326555444350
oct400554225062
9107836538010
1034455235122
111368109a130
126816ba4216
1333313c72b9
14194c0207d0
15d69d2384c
hex805b12a32

34455235122 has 96 divisors (see below), whose sum is σ = 93784863744. Its totient is φ = 8881048800.

The previous prime is 34455235121. The next prime is 34455235159. The reversal of 34455235122 is 22153255443.

34455235122 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 523 + 5 + 122 = 666.

It is not an unprimeable number, because it can be changed into a prime (34455235121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86683 + ... + 276449.

It is an arithmetic number, because the mean of its divisors is an integer number (976925664).

Almost surely, 234455235122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34455235122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46892431872).

34455235122 is an abundant number, since it is smaller than the sum of its proper divisors (59329628622).

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

34455235122 is a wasteful number, since it uses less digits than its factorization.

34455235122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189924 (or 189921 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The spelling of 34455235122 in words is "thirty-four billion, four hundred fifty-five million, two hundred thirty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 131 154 198 231 262 393 462 693 786 917 1179 1386 1441 1834 2358 2751 2882 4323 5502 8253 8646 10087 12969 16506 20174 25938 30261 60522 90783 181566 189767 379534 569301 1138602 1328369 1707903 2087437 2656738 3415806 3985107 4174874 6262311 7970214 11955321 12524622 14612059 18786933 23910642 24859477 29224118 37573866 43836177 49718954 74578431 87672354 131508531 149156862 174016339 223735293 263017062 273454247 348032678 447470586 522049017 546908494 820362741 1044098034 1566147051 1640725482 1914179729 2461088223 3132294102 3828359458 4922176446 5742539187 11485078374 17227617561 34455235122