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14013780655940 = 22513199327044233
BaseRepresentation
bin1100101111101101011001…
…1010101111111101000100
31211121201000110122210211222
43023323112122233331010
53314100210321442230
645445501510215512
72644314356114042
oct313732632577504
954551013583758
1014013780655940
11451323592943a
1216a3b6a954598
137a8655c94b30
143663b0769392
151947e5b556e5
hexcbed66aff44

14013780655940 has 48 divisors (see below), whose sum is σ = 31708607126448. Its totient is φ = 5171722573824.

The previous prime is 14013780655873. The next prime is 14013780655949. The reversal of 14013780655940 is 4955608731041.

It can be written as a sum of positive squares in 8 ways, for example, as 2001789203716 + 12011991452224 = 1414846^2 + 3465832^2 .

It is a super-3 number, since 3×140137806559403 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14013780655949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13003937 + ... + 14040296.

It is an arithmetic number, because the mean of its divisors is an integer number (660595981801).

Almost surely, 214013780655940 is an apocalyptic number.

14013780655940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14013780655940 is an abundant number, since it is smaller than the sum of its proper divisors (17694826470508).

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

14013780655940 is a wasteful number, since it uses less digits than its factorization.

14013780655940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27046248 (or 27046246 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 14013780655940 in words is "fourteen trillion, thirteen billion, seven hundred eighty million, six hundred fifty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1993 3986 7972 9965 19930 25909 39860 51818 103636 129545 259090 518180 27044233 54088466 108176932 135221165 270442330 351575029 540884660 703150058 1406300116 1757875145 3515750290 7031500580 53899156369 107798312738 215596625476 269495781845 538991563690 700689032797 1077983127380 1401378065594 2802756131188 3503445163985 7006890327970 14013780655940