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218254720004140 = 225171249513951679
BaseRepresentation
bin110001101000000001100011…
…000011100111000000101100
31001121202221120200212121211111
4301220001203003213000230
5212101341131310113030
62052104500104201404
763654245265213211
oct6150014303470054
91047687520777744
10218254720004140
11635a734160a816
122058b288169264
1394a2440c134a1
143bc7828a1bb08
151a3748d30b62a
hexc680630e702c

218254720004140 has 48 divisors (see below), whose sum is σ = 485684337600000. Its totient is φ = 82100696850432.

The previous prime is 218254720004117. The next prime is 218254720004179. The reversal of 218254720004140 is 41400027452812.

It is a junction number, because it is equal to n+sod(n) for n = 218254720004093 and 218254720004102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256551180 + ... + 257400499.

It is an arithmetic number, because the mean of its divisors is an integer number (10118423700000).

Almost surely, 2218254720004140 is an apocalyptic number.

218254720004140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218254720004140 is an abundant number, since it is smaller than the sum of its proper divisors (267429617595860).

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

218254720004140 is a wasteful number, since it uses less digits than its factorization.

218254720004140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513952954 (or 513952952 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

Adding to 218254720004140 its reverse (41400027452812), we get a palindrome (259654747456952).

The spelling of 218254720004140 in words is "two hundred eighteen trillion, two hundred fifty-four billion, seven hundred twenty million, four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1249 2498 4996 6245 12490 21233 24980 42466 84932 106165 212330 424660 513951679 1027903358 2055806716 2569758395 5139516790 8737178543 10279033580 17474357086 34948714172 43685892715 87371785430 174743570860 641925647071 1283851294142 2567702588284 3209628235355 6419256470710 10912736000207 12838512941420 21825472000414 43650944000828 54563680001035 109127360002070 218254720004140