Search a number
-
+
214404154340 = 22549157218081
BaseRepresentation
bin1100011110101101111…
…0111100001111100100
3202111102012020112121012
43013223132330033210
512003044430414330
6242255041041352
721330064146035
oct3075336741744
9674365215535
10214404154340
1182a23612592
1235677626258
13172ab59551c
14a53d120a8c
15589ccdbc95
hex31eb7bc3e4

214404154340 has 24 divisors (see below), whose sum is σ = 450259948152. Its totient is φ = 85759523840.

The previous prime is 214404154339. The next prime is 214404154351. The reversal of 214404154340 is 43451404412.

It can be written as a sum of positive squares in 4 ways, for example, as 10634971876 + 203769182464 = 103126^2 + 451408^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214404154297 and 214404154306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874100 + ... + 1092180.

It is an arithmetic number, because the mean of its divisors is an integer number (18760831173).

Almost surely, 2214404154340 is an apocalyptic number.

214404154340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214404154340 is an abundant number, since it is smaller than the sum of its proper divisors (235855793812).

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

214404154340 is a wasteful number, since it uses less digits than its factorization.

214404154340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267247 (or 267245 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 214404154340 its reverse (43451404412), we get a palindrome (257855558752).

The spelling of 214404154340 in words is "two hundred fourteen billion, four hundred four million, one hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 49157 98314 196628 218081 245785 436162 491570 872324 983140 1090405 2180810 4361620 10720207717 21440415434 42880830868 53601038585 107202077170 214404154340