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34040505050 = 25217371082369
BaseRepresentation
bin11111101100111110…
…001110001011011010
310020212100012211022022
4133230332032023122
51024203332130200
623345450054442
72313361342646
oct375476161332
9106770184268
1034040505050
1113488a83302
12672011a422
1332964c91a6
14190cd03c26
15d43700885
hex7ecf8e2da

34040505050 has 48 divisors (see below), whose sum is σ = 68851720440. Its totient is φ = 12468879360.

The previous prime is 34040505049. The next prime is 34040505131. The reversal of 34040505050 is 5050504043.

It can be written as a sum of positive squares in 12 ways, for example, as 15452727481 + 18587777569 = 124309^2 + 136337^2 .

It is a super-3 number, since 3×340405050503 (a number of 33 digits) contains 333 as substring.

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, 509735 + ... + 572634.

Almost surely, 234040505050 is an apocalyptic number.

34040505050 is an abundant number, since it is smaller than the sum of its proper divisors (34811215390).

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

34040505050 is a wasteful number, since it uses less digits than its factorization.

34040505050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082435 (or 1082430 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The spelling of 34040505050 in words is "thirty-four billion, forty million, five hundred five thousand, fifty".

Divisors: 1 2 5 10 17 25 34 37 50 74 85 170 185 370 425 629 850 925 1258 1850 3145 6290 15725 31450 1082369 2164738 5411845 10823690 18400273 27059225 36800546 40047653 54118450 80095306 92001365 184002730 200238265 400476530 460006825 680810101 920013650 1001191325 1361620202 2002382650 3404050505 6808101010 17020252525 34040505050