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115813761803240 = 235174119321523361
BaseRepresentation
bin11010010101010011111110…
…001000011110001111101000
3120012001200120012001200120012
4122111103332020132033220
5110134443041010200430
61050152035131551052
733252160660500254
oct3225237610361750
9505050505050505
10115813761803240
11339a1382308956
1210ba55965bb488
134c81263481b17
1420855b763d264
15d5c8ad4a7695
hex6954fe21e3e8

115813761803240 has 128 divisors (see below), whose sum is σ = 284103212793120. Its totient is φ = 42316647628800.

The previous prime is 115813761803191. The next prime is 115813761803269. The reversal of 115813761803240 is 42308167318511.

It is a happy number.

115813761803240 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 16 ways, for example, as 12915987829924 + 102897773973316 = 3593882^2 + 10143854^2 .

It is a super-2 number, since 2×1158137618032402 (a number of 29 digits) contains 22 as substring.

115813761803240 is an undulating number in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5380841 + ... + 16142520.

Almost surely, 2115813761803240 is an apocalyptic number.

115813761803240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115813761803240 is an abundant number, since it is smaller than the sum of its proper divisors (168289450989880).

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

115813761803240 is a wasteful number, since it uses less digits than its factorization.

115813761803240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21523623 (or 21523619 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 115813761803240 in words is "one hundred fifteen trillion, eight hundred thirteen billion, seven hundred sixty-one million, eight hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 193 205 328 340 386 410 680 697 772 820 965 1394 1544 1640 1930 2788 3281 3485 3860 5576 6562 6970 7720 7913 13124 13940 15826 16405 26248 27880 31652 32810 39565 63304 65620 79130 131240 134521 158260 269042 316520 538084 672605 1076168 1345210 2690420 5380840 21523361 43046722 86093444 107616805 172186888 215233610 365897137 430467220 731794274 860934440 882457801 1463588548 1764915602 1829485685 2927177096 3529831204 3658971370 4154008673 4412289005 7059662408 7317942740 8308017346 8824578010 14635885480 15001782617 16616034692 17649156020 20770043365 30003565234 33232069384 35298312040 41540086730 60007130468 70618147441 75008913085 83080173460 120014260936 141236294882 150017826170 166160346920 170314355593 282472589764 300035652340 340628711186 353090737205 564945179528 600071304680 681257422372 706181474410 851571777965 1362514844744 1412362948820 1703143555930 2824725897640 2895344045081 3406287111860 5790688090162 6812574223720 11581376180324 14476720225405 23162752360648 28953440450810 57906880901620 115813761803240