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241542500250000 = 243561132850059
BaseRepresentation
bin110110111010111001111110…
…111011001111000110010000
31011200020020102010220121022210
4312322321332323033012100
5223124413020031000000
62213415032011232120
7101606604220230315
oct6672717673170620
91150206363817283
10241542500250000
116aa65665433664
122311067a748640
13a4a148b00b661
144390a10010d0c
151cdd11c3b7350
hexdbae7eecf190

241542500250000 has 280 divisors, whose sum is σ = 786873681012960. Its totient is φ = 63841299200000.

The previous prime is 241542500249957. The next prime is 241542500250017. The reversal of 241542500250000 is 52005245142.

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 241542500250000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 83324971 + ... + 86175029.

Almost surely, 2241542500250000 is an apocalyptic number.

241542500250000 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 241542500250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393436840506480).

241542500250000 is an abundant number, since it is smaller than the sum of its proper divisors (545331180762960).

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

241542500250000 is an equidigital number, since it uses as much as digits as its factorization.

241542500250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850213 (or 2850182 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 241542500250000 its reverse (52005245142), we get a palindrome (241594505495142).

The spelling of 241542500250000 in words is "two hundred forty-one trillion, five hundred forty-two billion, five hundred million, two hundred fifty thousand".