Search a number
-
+
241305325140000 = 2535411769475441
BaseRepresentation
bin110110110111011101000110…
…001011111111100000100000
31011122101120020000002122220110
4312313131012023333200200
5223112021301213440000
62213114045213411320
7101553506623114362
oct6667350613774040
91148346200078813
10241305325140000
116a984017252060
1223092709199b40
13a484cc0c70294
1443833509c4d32
151cd6d8a460850
hexdb77462ff820

241305325140000 has 480 divisors, whose sum is σ = 864611663952960. Its totient is φ = 58422067200000.

The previous prime is 241305325139971. The next prime is 241305325140053. The reversal of 241305325140000 is 41523503142.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2413053251400002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 241305325140000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 507302280 + ... + 507777720.

It is an arithmetic number, because the mean of its divisors is an integer number (1801274299902).

Almost surely, 2241305325140000 is an apocalyptic number.

241305325140000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241305325140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432305831976480).

241305325140000 is an abundant number, since it is smaller than the sum of its proper divisors (623306338812960).

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

241305325140000 is a wasteful number, since it uses less digits than its factorization.

241305325140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476254 (or 476231 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 241305325140000 its reverse (41523503142), we get a palindrome (241346848643142).

The spelling of 241305325140000 in words is "two hundred forty-one trillion, three hundred five billion, three hundred twenty-five million, one hundred forty thousand".