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4241125141680 = 2435721918981047
BaseRepresentation
bin111101101101110110110…
…000011110110010110000
3120000110002022012001011010
4331231312300132302300
51023441311014013210
613004202422350520
7615261014616300
oct75556660366260
916013068161133
104241125141680
111395718638469
12585b6028b440
13249c2331166b
141093b31d3600
15754c4ab6920
hex3db76c1ecb0

4241125141680 has 240 divisors, whose sum is σ = 16098965671680. Its totient is φ = 918378929664.

The previous prime is 4241125141679. The next prime is 4241125141697. The reversal of 4241125141680 is 861415211424.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9267084 + ... + 9713963.

It is an arithmetic number, because the mean of its divisors is an integer number (67079023632).

Almost surely, 24241125141680 is an apocalyptic number.

4241125141680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4241125141680 is an abundant number, since it is smaller than the sum of its proper divisors (11857840530000).

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

4241125141680 is a wasteful number, since it uses less digits than its factorization.

4241125141680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18981096 (or 18981083 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 4241125141680 in words is "four trillion, two hundred forty-one billion, one hundred twenty-five million, one hundred forty-one thousand, six hundred eighty".