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11342435830416 = 24321941257100483
BaseRepresentation
bin1010010100001101110111…
…0110111100101010010000
31111011022210212002020201100
42211003131312330222100
52441313302033033131
640042350523504400
72250315063544125
oct245033566745220
944138725066640
1011342435830416
113683333369739
1213322a6988100
13643782b57892
142b2d9659074c
1514a0996027e6
hexa50dddbca90

11342435830416 has 120 divisors (see below), whose sum is σ = 33414897108320. Its totient is φ = 3581699378688.

The previous prime is 11342435830387. The next prime is 11342435830483. The reversal of 11342435830416 is 61403853424311.

11342435830416 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 24 + 3 + 583 + 0 + 41 + 6 = 666.

11342435830416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 112828911 + ... + 112929393.

Almost surely, 211342435830416 is an apocalyptic number.

11342435830416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11342435830416 is an abundant number, since it is smaller than the sum of its proper divisors (22072461277904).

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

11342435830416 is a wasteful number, since it uses less digits than its factorization.

11342435830416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141773 (or 141764 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 11342435830416 in words is "eleven trillion, three hundred forty-two billion, four hundred thirty-five million, eight hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 41257 82514 100483 123771 165028 200966 247542 301449 330056 371313 401932 495084 602898 660112 742626 783883 803864 904347 990168 1205796 1485252 1567766 1607728 1808694 1909177 1980336 2351649 2411592 2970504 3135532 3617388 3818354 4703298 4823184 5727531 5941008 6271064 7054947 7234776 7636708 9406596 11455062 12542128 14109894 14469552 15273416 17182593 18813192 22910124 28219788 30546832 34365186 37626384 45820248 56439576 68730372 91640496 112879152 137460744 274921488 4145627131 8291254262 12436881393 16582508524 24873762786 33165017048 37310644179 49747525572 66330034096 74621288358 78766915489 99495051144 149242576716 157533830978 198990102288 236300746467 298485153432 315067661956 472601492934 596970306864 630135323912 708902239401 945202985868 1260270647824 1417804478802 1890405971736 2835608957604 3780811943472 5671217915208 11342435830416