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214330242340 = 22518257586981
BaseRepresentation
bin1100011110011100010…
…0111111010100100100
3202111020001011102101201
43013213010333110210
512002422020223330
6242243440532244
721325206000124
oct3074704772444
9674201142351
10214330242340
118299591a395
1235656921084
1317299187206
14a5333a0c84
15589658beca
hex31e713f524

214330242340 has 24 divisors (see below), whose sum is σ = 450118928952. Its totient is φ = 85727255040.

The previous prime is 214330242337. The next prime is 214330242353. The reversal of 214330242340 is 43242033412.

It can be written as a sum of positive squares in 4 ways, for example, as 67162868964 + 147167373376 = 259158^2 + 383624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214330242299 and 214330242308.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71650 + ... + 658630.

It is an arithmetic number, because the mean of its divisors is an integer number (18754955373).

Almost surely, 2214330242340 is an apocalyptic number.

214330242340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214330242340 is an abundant number, since it is smaller than the sum of its proper divisors (235788686612).

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

214330242340 is a wasteful number, since it uses less digits than its factorization.

214330242340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605247 (or 605245 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 214330242340 its reverse (43242033412), we get a palindrome (257572275752).

The spelling of 214330242340 in words is "two hundred fourteen billion, three hundred thirty million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 18257 36514 73028 91285 182570 365140 586981 1173962 2347924 2934905 5869810 11739620 10716512117 21433024234 42866048468 53582560585 107165121170 214330242340