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34542112410 = 23251353557041
BaseRepresentation
bin100000001010110111…
…101100111010011010
310022011022002010020200
4200022313230322122
51031220240044120
623511325203030
72331662053041
oct401267547232
9108138063220
1034542112410
1113716138343
126840100476
1333463c4a90
141959797558
15d72784e90
hex80adece9a

34542112410 has 96 divisors (see below), whose sum is σ = 98542957968. Its totient is φ = 8342231040.

The previous prime is 34542112393. The next prime is 34542112417. The reversal of 34542112410 is 1421124543.

34542112410 is a `hidden beast` number, since 3 + 4 + 542 + 112 + 4 + 1 + 0 = 666.

34542112410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 18127121769 + 16414990641 = 134637^2 + 128121^2 .

It is not an unprimeable number, because it can be changed into a prime (34542112417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216511 + ... + 340530.

Almost surely, 234542112410 is an apocalyptic number.

34542112410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34542112410 is an abundant number, since it is smaller than the sum of its proper divisors (64000845558).

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

34542112410 is a wasteful number, since it uses less digits than its factorization.

34542112410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557120 (or 557117 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 34542112410 its reverse (1421124543), we get a palindrome (35963236953).

The spelling of 34542112410 in words is "thirty-four billion, five hundred forty-two million, one hundred twelve thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 53 65 78 90 106 117 130 159 195 234 265 318 390 477 530 585 689 795 954 1170 1378 1590 2067 2385 3445 4134 4770 6201 6890 10335 12402 20670 31005 62010 557041 1114082 1671123 2785205 3342246 5013369 5570410 7241533 8355615 10026738 14483066 16711230 21724599 25066845 29523173 36207665 43449198 50133690 59046346 65173797 72415330 88569519 108622995 130347594 147615865 177139038 217245990 265708557 295231730 325868985 383801249 442847595 531417114 651737970 767602498 885695190 1151403747 1328542785 1919006245 2302807494 2657085570 3454211241 3838012490 5757018735 6908422482 11514037470 17271056205 34542112410