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414120342020 = 225711268909313
BaseRepresentation
bin1100000011010110111…
…11101111001000000100
31110120220202111001210012
412001223133233020010
523241104301421040
6514124432045352
741630200553630
oct6015337571004
91416822431705
10414120342020
1114a69a156350
1268314093858
1330088b639c8
1416087643dc0
15ab8b39d865
hex606b7ef204

414120342020 has 48 divisors (see below), whose sum is σ = 1084242354048. Its totient is φ = 129076469760.

The previous prime is 414120341993. The next prime is 414120342089. The reversal of 414120342020 is 20243021414.

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 15 ways as a sum of consecutive naturals, for example, 134453117 + ... + 134456196.

It is an arithmetic number, because the mean of its divisors is an integer number (22588382376).

Almost surely, 2414120342020 is an apocalyptic number.

It is an amenable number.

414120342020 is an abundant number, since it is smaller than the sum of its proper divisors (670122012028).

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

414120342020 is a wasteful number, since it uses less digits than its factorization.

414120342020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268909340 (or 268909338 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 414120342020 its reverse (20243021414), we get a palindrome (434363363434).

The spelling of 414120342020 in words is "four hundred fourteen billion, one hundred twenty million, three hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 268909313 537818626 1075637252 1344546565 1882365191 2689093130 2958002443 3764730382 5378186260 5916004886 7529460764 9411825955 11832009772 14790012215 18823651910 20706017101 29580024430 37647303820 41412034202 59160048860 82824068404 103530085505 207060171010 414120342020