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34541322642 = 234713003071
BaseRepresentation
bin100000001010110100…
…101100000110010010
310022011020120222220000
4200022310230012102
51031220034311032
623511300230430
72331652253361
oct401264540622
9108136528800
1034541322642
1113715748a42
12683b99b416
1333461a9468
14195962d7d8
15d7267ae7c
hex80ad2c192

34541322642 has 40 divisors (see below), whose sum is σ = 78488289792. Its totient is φ = 11351604600.

The previous prime is 34541322617. The next prime is 34541322649. The reversal of 34541322642 is 24622314543.

34541322642 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 1 + 3 + 2 + 2 + 642 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34541322597 and 34541322606.

It is not an unprimeable number, because it can be changed into a prime (34541322649) 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 19 ways as a sum of consecutive naturals, for example, 1490034 + ... + 1513037.

Almost surely, 234541322642 is an apocalyptic number.

34541322642 is an abundant number, since it is smaller than the sum of its proper divisors (43946967150).

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

34541322642 is a wasteful number, since it uses less digits than its factorization.

34541322642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003156 (or 3003147 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The spelling of 34541322642 in words is "thirty-four billion, five hundred forty-one million, three hundred twenty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 426 639 1278 1917 3834 5751 11502 3003071 6006142 9009213 18018426 27027639 54055278 81082917 162165834 213218041 243248751 426436082 486497502 639654123 1279308246 1918962369 3837924738 5756887107 11513774214 17270661321 34541322642