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34553450442 = 2372521225583
BaseRepresentation
bin100000001011100010…
…111100111111001010
310022012002102011002210
4200023202330333022
51031231140403232
623512412205550
72332160324400
oct401342747712
9108162364083
1034553450442
1113721581815
126843a698b6
133348864684
14195b0a9470
15d737745cc
hex80b8bcfca

34553450442 has 48 divisors (see below), whose sum is σ = 80544316032. Its totient is φ = 9853421760.

The previous prime is 34553450431. The next prime is 34553450501. The reversal of 34553450442 is 24405435543.

34553450442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 34553450442.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40383 + ... + 265965.

It is an arithmetic number, because the mean of its divisors is an integer number (1678006584).

Almost surely, 234553450442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34553450442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40272158016).

34553450442 is an abundant number, since it is smaller than the sum of its proper divisors (45990865590).

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

34553450442 is a wasteful number, since it uses less digits than its factorization.

34553450442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226123 (or 226116 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 39.

Adding to 34553450442 its reverse (24405435543), we get a palindrome (58958885985).

The spelling of 34553450442 in words is "thirty-four billion, five hundred fifty-three million, four hundred fifty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 521 1042 1563 3126 3647 7294 10941 21882 25529 51058 76587 153174 225583 451166 676749 1353498 1579081 3158162 4737243 9474486 11053567 22107134 33160701 66321402 117528743 235057486 352586229 705172458 822701201 1645402402 2468103603 4936207206 5758908407 11517816814 17276725221 34553450442