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13140343121520 = 2435593617314957
BaseRepresentation
bin1011111100110111100101…
…1110111110011001110000
31201112012112002211210021010
42333031321132332121300
53210242410314342040
643540331300430520
72524233644426106
oct277157136763160
951465462753233
1013140343121520
11420687414013a
12158282a3a8440
1374418a6657a4
14335dd304dc76
1517bc25583e80
hexbf3797be670

13140343121520 has 160 divisors (see below), whose sum is σ = 40813095419712. Its totient is φ = 3497381871616.

The previous prime is 13140343121497. The next prime is 13140343121569. The reversal of 13140343121520 is 2512134304131.

It is a super-2 number, since 2×131403431215202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 878533882 + ... + 878548838.

Almost surely, 213140343121520 is an apocalyptic number.

13140343121520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13140343121520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20406547709856).

13140343121520 is an abundant number, since it is smaller than the sum of its proper divisors (27672752298192).

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

13140343121520 is a wasteful number, since it uses less digits than its factorization.

13140343121520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21739 (or 21733 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 13140343121520 its reverse (2512134304131), we get a palindrome (15652477425651).

The spelling of 13140343121520 in words is "thirteen trillion, one hundred forty billion, three hundred forty-three million, one hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 593 1186 1779 2372 2965 3558 4744 5930 6173 7116 8895 9488 11860 12346 14232 14957 17790 18519 23720 24692 28464 29914 30865 35580 37038 44871 47440 49384 59828 61730 71160 74076 74785 89742 92595 98768 119656 123460 142320 148152 149570 179484 185190 224355 239312 246920 296304 299140 358968 370380 448710 493840 598280 717936 740760 897420 1196560 1481520 1794840 3589680 3660589 7321178 8869501 10981767 14642356 17739002 18302945 21963534 26608503 29284712 35478004 36605890 43927068 44347505 53217006 54908835 58569424 70956008 73211780 87854136 88695010 92329561 106434012 109817670 133042515 141912016 146423560 175708272 177390020 184659122 212868024 219635340 266085030 276988683 292847120 354780040 369318244 425736048 439270680 461647805 532170060 553977366 709560080 738636488 878541360 923295610 1064340120 1107954732 1384943415 1477272976 1846591220 2128680240 2215909464 2769886830 3693182440 4431818928 5539773660 7386364880 11079547320 22159094640 54751429673 109502859346 164254289019 219005718692 273757148365 328508578038 438011437384 547514296730 657017156076 821271445095 876022874768 1095028593460 1314034312152 1642542890190 2190057186920 2628068624304 3285085780380 4380114373840 6570171560760 13140343121520