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241223455252440 = 233252233738055701
BaseRepresentation
bin110110110110010000110110…
…010111001001111111011000
31011122002201220100110110101200
4312312100312113021333120
5223104201114021034230
62213012305301514200
7101544551044420503
oct6666206627117730
91148081810413350
10241223455252440
116a952324897861
122307a87b112960
13a47a374618b2b
14437d3c578013a
151cd4b97c31160
hexdb64365c9fd8

241223455252440 has 192 divisors, whose sum is σ = 789603154179840. Its totient is φ = 63866105164800.

The previous prime is 241223455252363. The next prime is 241223455252441. The reversal of 241223455252440 is 44252554322142.

241223455252440 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 2 + 3 + 4 + 552 + 52 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241223455252441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25916590 + ... + 33972290.

It is an arithmetic number, because the mean of its divisors is an integer number (4112516428020).

Almost surely, 2241223455252440 is an apocalyptic number.

241223455252440 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 241223455252440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394801577089920).

241223455252440 is an abundant number, since it is smaller than the sum of its proper divisors (548379698927400).

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

241223455252440 is a wasteful number, since it uses less digits than its factorization.

241223455252440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8056314 (or 8056307 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

The spelling of 241223455252440 in words is "two hundred forty-one trillion, two hundred twenty-three billion, four hundred fifty-five million, two hundred fifty-two thousand, four hundred forty".