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241064087040 = 2937576151
BaseRepresentation
bin1110000010000010001…
…0100000111000000000
3212001020011121110000000
43200200202200320000
512422144401241130
6302424320000000
723262535634250
oct3404042407000
9761204543000
10241064087040
1193264435617
123a877a60000
1319969989c2a
14b94bb1d960
15640d59b260
hex38208a0e00

241064087040 has 640 divisors, whose sum is σ = 990848010240. Its totient is φ = 55091404800.

The previous prime is 241064086943. The next prime is 241064087041. The reversal of 241064087040 is 40780460142.

241064087040 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 640 + 8 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2410640870402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241064086986 and 241064087004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241064087041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39187965 + ... + 39194115.

It is an arithmetic number, because the mean of its divisors is an integer number (1548200016).

Almost surely, 2241064087040 is an apocalyptic number.

241064087040 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 241064087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495424005120).

241064087040 is an abundant number, since it is smaller than the sum of its proper divisors (749783923200).

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

241064087040 is an frugal number, since it uses more digits than its factorization.

241064087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6202 (or 6168 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 241064087040 in words is "two hundred forty-one billion, sixty-four million, eighty-seven thousand, forty".