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34350141104 = 2437127456881
BaseRepresentation
bin11111111111011011…
…011000111010110000
310021122220211222010022
4133333123120322300
51030322114003404
623440310423012
72324141244656
oct377733307260
9107586758108
1034350141104
1113627839474
1267a7961a68
1333156bbca6
14193c0a4dd6
15d609b48be
hex7ff6d8eb0

34350141104 has 40 divisors (see below), whose sum is σ = 68890495488. Its totient is φ = 16579261440.

The previous prime is 34350141083. The next prime is 34350141121. The reversal of 34350141104 is 40114105343.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 153257 + ... + 303624.

Almost surely, 234350141104 is an apocalyptic number.

It is an amenable number.

34350141104 is an abundant number, since it is smaller than the sum of its proper divisors (34540354384).

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

34350141104 is a wasteful number, since it uses less digits than its factorization.

34350141104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457053 (or 457047 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 34350141104 its reverse (40114105343), we get a palindrome (74464246447).

The spelling of 34350141104 in words is "thirty-four billion, three hundred fifty million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 37 74 127 148 254 296 508 592 1016 2032 4699 9398 18796 37592 75184 456881 913762 1827524 3655048 7310096 16904597 33809194 58023887 67618388 116047774 135236776 232095548 270473552 464191096 928382192 2146883819 4293767638 8587535276 17175070552 34350141104