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14040680040 = 23325192052731
BaseRepresentation
bin11010001001110001…
…11100011001101000
31100020112000110002200
431010320330121220
5212223403230130
610241124300200
71004640545142
oct150470743150
940215013080
1014040680040
115a55663802
12287a241660
131429b830ca
14972a65c92
155729bb760
hex344e3c668

14040680040 has 96 divisors (see below), whose sum is σ = 48033928800. Its totient is φ = 3547117440.

The previous prime is 14040680009. The next prime is 14040680041. The reversal of 14040680040 is 4008604041.

14040680040 is a `hidden beast` number, since 140 + 406 + 80 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14040679986 and 14040680013.

It is not an unprimeable number, because it can be changed into a prime (14040680041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1019526 + ... + 1033205.

It is an arithmetic number, because the mean of its divisors is an integer number (500353425).

Almost surely, 214040680040 is an apocalyptic number.

14040680040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14040680040 is an abundant number, since it is smaller than the sum of its proper divisors (33993248760).

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

14040680040 is a wasteful number, since it uses less digits than its factorization.

14040680040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052767 (or 2052760 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 14040680040 in words is "fourteen billion, forty million, six hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 2052731 4105462 6158193 8210924 10263655 12316386 16421848 18474579 20527310 24632772 30790965 36949158 39001889 41054620 49265544 61581930 73898316 78003778 82109240 92372895 117005667 123163860 147796632 156007556 184745790 195009445 234011334 246327720 312015112 351017001 369491580 390018890 468022668 585028335 702034002 738983160 780037780 936045336 1170056670 1404068004 1560075560 1755085005 2340113340 2808136008 3510170010 4680226680 7020340020 14040680040