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341950042368 = 283311431109
BaseRepresentation
bin1001111100111011100…
…11111001000100000000
31012200122002022222111000
410332131303321010000
521100303202323433
6421031212052000
733463561255014
oct4763563710400
91180562288430
10341950042368
11122024980000
1256332464000
1326326bb649c
141279c6c2544
158d6548b113
hex4f9dcf9100

341950042368 has 720 divisors, whose sum is σ = 1158735424000. Its totient is φ = 99358617600.

The previous prime is 341950042327. The next prime is 341950042403. The reversal of 341950042368 is 863240059143.

341950042368 is a `hidden beast` number, since 3 + 41 + 9 + 500 + 42 + 3 + 68 = 666.

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 79 ways as a sum of consecutive naturals, for example, 3137156298 + ... + 3137156406.

Almost surely, 2341950042368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341950042368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579367712000).

341950042368 is an abundant number, since it is smaller than the sum of its proper divisors (816785381632).

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

341950042368 is an equidigital number, since it uses as much as digits as its factorization.

341950042368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 341950042368 in words is "three hundred forty-one billion, nine hundred fifty million, forty-two thousand, three hundred sixty-eight".