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241622246340 = 223251342345813
BaseRepresentation
bin1110000100000111001…
…1101110001111000100
3212002200001212212121200
43201001303232033010
512424320243340330
6302555535142500
723312424130656
oct3410163561704
9762601785550
10241622246340
11935205059a2
123a9b2974a30
1319a284c61c7
14b9a1cd46d6
1564425a1a60
hex3841cee3c4

241622246340 has 36 divisors (see below), whose sum is σ = 732920814444. Its totient is φ = 64432598976.

The previous prime is 241622246329. The next prime is 241622246347. The reversal of 241622246340 is 43642226142.

241622246340 is a `hidden beast` number, since 2 + 4 + 1 + 622 + 24 + 6 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54598864896 + 187023381444 = 233664^2 + 432462^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241622246295 and 241622246304.

It is not an unprimeable number, because it can be changed into a prime (241622246347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 671172727 + ... + 671173086.

Almost surely, 2241622246340 is an apocalyptic number.

241622246340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241622246340 is an abundant number, since it is smaller than the sum of its proper divisors (491298568104).

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

241622246340 is a wasteful number, since it uses less digits than its factorization.

241622246340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342345828 (or 1342345823 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 241622246340 in words is "two hundred forty-one billion, six hundred twenty-two million, two hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1342345813 2684691626 4027037439 5369383252 6711729065 8054074878 12081112317 13423458130 16108149756 20135187195 24162224634 26846916260 40270374390 48324449268 60405561585 80540748780 120811123170 241622246340