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214120363660 = 225744458983
BaseRepresentation
bin1100011101101010010…
…0010111011010001100
3202110200102020110222021
43013122210113122030
512002004303114120
6242210542255524
721320050030000
oct3073244273214
9673612213867
10214120363660
11828983aa435
12355b85875a4
1317264851648
14a51356a700
155882e30aaa
hex31da91768c

214120363660 has 60 divisors (see below), whose sum is σ = 524563795728. Its totient is φ = 73412679648.

The previous prime is 214120363657. The next prime is 214120363679. The reversal of 214120363660 is 66363021412.

214120363660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2181472 + ... + 2277511.

Almost surely, 2214120363660 is an apocalyptic number.

214120363660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214120363660 is an abundant number, since it is smaller than the sum of its proper divisors (310443432068).

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

214120363660 is an equidigital number, since it uses as much as digits as its factorization.

214120363660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459020 (or 4458997 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 214120363660 in words is "two hundred fourteen billion, one hundred twenty million, three hundred sixty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2401 3430 4802 6860 9604 12005 24010 48020 4458983 8917966 17835932 22294915 31212881 44589830 62425762 89179660 124851524 156064405 218490167 312128810 436980334 624257620 873960668 1092450835 1529431169 2184901670 3058862338 4369803340 6117724676 7647155845 10706018183 15294311690 21412036366 30588623380 42824072732 53530090915 107060181830 214120363660