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14066680140 = 22325191409153
BaseRepresentation
bin11010001100111000…
…01000000101001100
31100022022221101112100
431012130020011030
5212302032231030
610243453435100
71005404544162
oct150634100514
940268841470
1014066680140
115a69301a97
122886a9ba90
131432387596
149762b3232
15574e05360
hex34670814c

14066680140 has 72 divisors (see below), whose sum is σ = 42892432128. Its totient is φ = 3731466240.

The previous prime is 14066680139. The next prime is 14066680169. The reversal of 14066680140 is 4108666041.

It is a super-2 number, since 2×140666801402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14066680095 and 14066680104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170197 + ... + 238956.

It is an arithmetic number, because the mean of its divisors is an integer number (595728224).

Almost surely, 214066680140 is an apocalyptic number.

14066680140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14066680140 is an abundant number, since it is smaller than the sum of its proper divisors (28825751988).

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

14066680140 is a wasteful number, since it uses less digits than its factorization.

14066680140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409359 (or 409354 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14066680140 in words is "fourteen billion, sixty-six million, six hundred eighty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1719 1910 2292 2865 3438 3820 5730 6876 8595 11460 17190 34380 409153 818306 1227459 1636612 2045765 2454918 3682377 4091530 4909836 6137295 7364754 8183060 12274590 14729508 18411885 24549180 36823770 73647540 78148223 156296446 234444669 312592892 390741115 468889338 703334007 781482230 937778676 1172223345 1406668014 1562964460 2344446690 2813336028 3516670035 4688893380 7033340070 14066680140