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13027343330040 = 23351351151163259
BaseRepresentation
bin1011110110010010101000…
…1010111110101011111000
31201010101211221210121120220
42331210222022332223320
53201414444343030130
643412402351020040
72513123466151644
oct275445212765370
951111757717526
1013027343330040
114172957762316
121564952b0a620
1373661c828250
143307536b9c24
15178d0ee39410
hexbd92a2beaf8

13027343330040 has 128 divisors (see below), whose sum is σ = 42089420620800. Its totient is φ = 3206648332800.

The previous prime is 13027343330021. The next prime is 13027343330041. The reversal of 13027343330040 is 4003334372031.

It is a junction number, because it is equal to n+sod(n) for n = 13027343329983 and 13027343330010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13027343330041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79713931 + ... + 79877189.

It is an arithmetic number, because the mean of its divisors is an integer number (328823598600).

Almost surely, 213027343330040 is an apocalyptic number.

13027343330040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13027343330040 is an abundant number, since it is smaller than the sum of its proper divisors (29062077290760).

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

13027343330040 is a wasteful number, since it uses less digits than its factorization.

13027343330040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214437 (or 214433 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 33.

The spelling of 13027343330040 in words is "thirteen trillion, twenty-seven billion, three hundred forty-three million, three hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 51151 102302 153453 163259 204604 255755 306906 326518 409208 489777 511510 613812 653036 664963 767265 816295 979554 1023020 1227624 1306072 1329926 1534530 1632590 1959108 1994889 2046040 2122367 2448885 2659852 3069060 3265180 3324815 3918216 3989778 4244734 4897770 5319704 6138120 6367101 6530360 6649630 7979556 8489468 9795540 9974445 10611835 12734202 13299260 15959112 16978936 19591080 19948890 21223670 25468404 26598520 31835505 39897780 42447340 50936808 63671010 79795560 84894680 127342020 254684040 8350861109 16701722218 25052583327 33403444436 41754305545 50105166654 66806888872 83508611090 100210333308 108561194417 125262916635 167017222180 200420666616 217122388834 250525833270 325683583251 334034444360 434244777668 501051666540 542805972085 651367166502 868489555336 1002103333080 1085611944170 1302734333004 1628417916255 2171223888340 2605468666008 3256835832510 4342447776680 6513671665020 13027343330040