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241223315303040 = 2735731109248731
BaseRepresentation
bin110110110110010000101110…
…000001010010101010000000
31011122002201112121010021220120
4312312100232001102222000
5223104200322204144130
62213012243342140240
7101544544425030660
oct6666205601225200
91148081477107816
10241223315303040
116a95226289a7a4
122307a840281680
13a47a351628835
14437d3b0d501a0
151cd4b8a7d9910
hexdb642e052a80

241223315303040 has 768 divisors, whose sum is σ = 915505643888640. Its totient is φ = 52867543449600.

The previous prime is 241223315303029. The next prime is 241223315303107. The reversal of 241223315303040 is 40303513322142.

It is a junction number, because it is equal to n+sod(n) for n = 241223315302992 and 241223315303010.

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 95 ways as a sum of consecutive naturals, for example, 4950075475 + ... + 4950124205.

It is an arithmetic number, because the mean of its divisors is an integer number (1192064640480).

Almost surely, 2241223315303040 is an apocalyptic number.

241223315303040 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 241223315303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457752821944320).

241223315303040 is an abundant number, since it is smaller than the sum of its proper divisors (674282328585600).

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

241223315303040 is a wasteful number, since it uses less digits than its factorization.

241223315303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49009 (or 48888 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 241223315303040 its reverse (40303513322142), we get a palindrome (281526828625182).

The spelling of 241223315303040 in words is "two hundred forty-one trillion, two hundred twenty-three billion, three hundred fifteen million, three hundred three thousand, forty".