Search a number
-
+
241450647552 = 2153530323
BaseRepresentation
bin1110000011011110010…
…1001000000000000000
3212002020002222202100000
43200313211020000000
512423442331210202
6302530525200000
723305241432652
oct3406745100000
9762202882300
10241450647552
1193442661214
123a965400000
13199cbaa426a
14b9871c66d2
1564324a791c
hex3837948000

241450647552 has 192 divisors, whose sum is σ = 723371135760. Its totient is φ = 80480894976.

The previous prime is 241450647533. The next prime is 241450647553. The reversal of 241450647552 is 255746054142.

241450647552 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 50 + 6 + 47 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 241450647498 and 241450647507.

It is not an unprimeable number, because it can be changed into a prime (241450647553) 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, 7947463 + ... + 7977785.

Almost surely, 2241450647552 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 241450647552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361685567880).

241450647552 is an abundant number, since it is smaller than the sum of its proper divisors (481920488208).

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

241450647552 is an frugal number, since it uses more digits than its factorization.

241450647552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30368 (or 30328 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 241450647552 in words is "two hundred forty-one billion, four hundred fifty million, six hundred forty-seven thousand, five hundred fifty-two".